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742101445053 = 321375091182449
BaseRepresentation
bin10101100110010001011…
…00010110100110111101
32121221111022210101220200
422303020230112212331
544124310432220203
61324530001234113
7104420652130203
oct12631054264675
92557438711820
10742101445053
112667a5a12491
12bb9a8332939
1354c979c4cc7
1427cbca17073
15144852de9a3
hexacc8b169bd

742101445053 has 24 divisors (see below), whose sum is σ = 1081870803000. Its totient is φ = 490157804544.

The previous prime is 742101445031. The next prime is 742101445061. The reversal of 742101445053 is 350544101247.

742101445053 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 0 + 144 + 505 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88264250649 + 653837194404 = 297093^2 + 808602^2 .

It is not a de Polignac number, because 742101445053 - 26 = 742101444989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742101444999 and 742101445017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742101445073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36373 + ... + 1218821.

It is an arithmetic number, because the mean of its divisors is an integer number (45077950125).

Almost surely, 2742101445053 is an apocalyptic number.

It is an amenable number.

742101445053 is a deficient number, since it is larger than the sum of its proper divisors (339769357947).

742101445053 is a wasteful number, since it uses less digits than its factorization.

742101445053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183101 (or 1183098 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 742101445053 in words is "seven hundred forty-two billion, one hundred one million, four hundred forty-five thousand, fifty-three".

Divisors: 1 3 9 137 411 509 1233 1527 4581 69733 209199 627597 1182449 3547347 10642041 161995513 485986539 601866541 1457959617 1805599623 5416798869 82455716117 247367148351 742101445053