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127039942960 = 2457226857041
BaseRepresentation
bin111011001010000101…
…0111011000100110000
3110010220122001202201121
41312110022323010300
54040134211133320
6134210014512024
712115111461310
oct1662412730460
9403818052647
10127039942960
11499718104a7
1220755505614
13bc97866ba8
1462122dd440
15348805e8aa
hex1d942bb130

127039942960 has 40 divisors (see below), whose sum is σ = 337563278496. Its totient is φ = 43556551680.

The previous prime is 127039942903. The next prime is 127039942973. The reversal of 127039942960 is 69249930721.

It is a happy number.

127039942960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1270399429602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127039942898 and 127039942907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113427961 + ... + 113429080.

Almost surely, 2127039942960 is an apocalyptic number.

127039942960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127039942960 is an abundant number, since it is smaller than the sum of its proper divisors (210523335536).

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

127039942960 is a wasteful number, since it uses less digits than its factorization.

127039942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226857061 (or 226857055 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 127039942960 in words is "one hundred twenty-seven billion, thirty-nine million, nine hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 226857041 453714082 907428164 1134285205 1587999287 1814856328 2268570410 3175998574 3629712656 4537140820 6351997148 7939996435 9074281640 12703994296 15879992870 18148563280 25407988592 31759985740 63519971480 127039942960