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1319344432245 = 3257120112312833
BaseRepresentation
bin10011001100101111000…
…011100110010001110101
311200010110101022102120200
4103030233003212101311
5133104004133312440
62450033133551113
7164214404432130
oct23145703462165
94603411272520
101319344432245
1146959259a484
12193845945499
139754ba1ba58
1447bdc781217
15244bc348c30
hex1332f0e6475

1319344432245 has 96 divisors (see below), whose sum is σ = 2618783591424. Its totient is φ = 601924608000.

The previous prime is 1319344432243. The next prime is 1319344432267. The reversal of 1319344432245 is 5422344439131.

1319344432245 is a `hidden beast` number, since 1 + 3 + 193 + 4 + 4 + 432 + 24 + 5 = 666.

It is not a de Polignac number, because 1319344432245 - 21 = 1319344432243 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1319344432245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319344432243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465704349 + ... + 465707181.

It is an arithmetic number, because the mean of its divisors is an integer number (27278995744).

Almost surely, 21319344432245 is an apocalyptic number.

1319344432245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1319344432245 is a deficient number, since it is larger than the sum of its proper divisors (1299439159179).

1319344432245 is a wasteful number, since it uses less digits than its factorization.

1319344432245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5280 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 1319344432245 in words is "one trillion, three hundred nineteen billion, three hundred forty-four million, four hundred thirty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1201 1231 2833 3603 3693 6005 6155 8407 8499 8617 10809 11079 14165 18015 18465 19831 25221 25497 25851 42035 42495 43085 54045 55395 59493 75663 77553 99155 126105 127485 129255 178479 297465 378315 387765 892395 1478431 3402433 3487423 4435293 7392155 10207299 10349017 10462269 13305879 17012165 17437115 22176465 23817031 24411961 30621897 31047051 31386807 51036495 51745085 52311345 66529395 71451093 73235883 93141153 119085155 122059805 153109485 155235255 156934035 214353279 219707649 357255465 366179415 465705765 1071766395 1098538245 4188395023 12565185069 20941975115 29318765161 37695555207 62825925345 87956295483 146593825805 188477776035 263868886449 439781477415 1319344432245