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1434945453975 = 35521150942187
BaseRepresentation
bin10100111000011001011…
…010011111111110010111
312002011211211000210100000
4110320121122133332113
5142002232014011400
63015112125022343
7205446200053035
oct24703132377627
95064754023300
101434945453975
11503614333070
121b21283b49b3
13a54127401a7
144d647797555
15274d6018600
hex14e1969ff97

1434945453975 has 144 divisors (see below), whose sum is σ = 2913422279040. Its totient is φ = 694347811200.

The previous prime is 1434945453941. The next prime is 1434945453983. The reversal of 1434945453975 is 5793545494341.

1434945453975 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 94 + 5 + 4 + 539 + 7 + 5 = 666.

It is not a de Polignac number, because 1434945453975 - 237 = 1297506500503 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33992832 + ... + 34035018.

It is an arithmetic number, because the mean of its divisors is an integer number (20232099160).

Almost surely, 21434945453975 is an apocalyptic number.

1434945453975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1434945453975 is an abundant number, since it is smaller than the sum of its proper divisors (1478476825065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1434945453975 is a wasteful number, since it uses less digits than its factorization.

1434945453975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42732 (or 42715 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 1434945453975 in words is "one trillion, four hundred thirty-four billion, nine hundred forty-five million, four hundred fifty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 495 509 675 825 891 1215 1485 1527 2025 2475 2545 2673 4455 4581 5599 6075 7425 7635 12725 13365 13743 16797 22275 22905 27995 38175 41229 42187 50391 66825 68715 83985 114525 123687 126561 139975 151173 206145 210935 251955 343575 379683 419925 453519 464057 618435 632805 755865 1030725 1054675 1139049 1259775 1360557 1392171 1898415 2267595 2320285 3092175 3164025 3417147 3779325 4176513 5695245 6802785 6960855 9492075 10251441 11337975 11601425 12529539 17085735 20882565 21473183 28476225 34013925 34804275 37588617 51257205 62647695 64419549 85428675 104412825 107365915 112765851 187943085 193258647 236205013 256286025 313238475 322097745 536829575 563829255 579775941 708615039 939715425 966293235 1181025065 1610488725 1739327823 2125845117 2819146275 2898879705 3543075195 4831466175 5217983469 5905125325 6377535351 8696639115 10629225585 14494398525 17715375975 19132606053 26089917345 31887676755 43483195575 53146127925 57397818159 95663030265 130449586725 159438383775 286989090795 478315151325 1434945453975