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1374390132864 = 27372113241981
BaseRepresentation
bin10100000000000000000…
…010010010000010000000
311212101112121111202020020
4110000000002102002000
5140004222333222424
62531215222213440
7201203445242250
oct24000002220200
94771477452206
101374390132864
1148a96a444041
121a2448584280
139c7b1c2b838
144a74126b960
1525b3eb71079
hex14000092080

1374390132864 has 128 divisors (see below), whose sum is σ = 4174247575680. Its totient is φ = 392495431680.

The previous prime is 1374390132821. The next prime is 1374390132883. The reversal of 1374390132864 is 4682310934731.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5558754 + ... + 5800734.

It is an arithmetic number, because the mean of its divisors is an integer number (32611309185).

Almost surely, 21374390132864 is an apocalyptic number.

1374390132864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374390132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087123787840).

1374390132864 is an abundant number, since it is smaller than the sum of its proper divisors (2799857442816).

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

1374390132864 is a wasteful number, since it uses less digits than its factorization.

1374390132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244118 (or 244106 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 1374390132864 in words is "one trillion, three hundred seventy-four billion, three hundred ninety million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2113 2688 4226 6339 8452 12678 14791 16904 25356 29582 33808 44373 50712 59164 67616 88746 101424 118328 135232 177492 202848 236656 241981 270464 354984 405696 473312 483962 709968 725943 811392 946624 967924 1419936 1451886 1693867 1893248 1935848 2839872 2903772 3387734 3871696 5081601 5679744 5807544 6775468 7743392 10163202 11615088 13550936 15486784 20326404 23230176 27101872 30973568 40652808 46460352 54203744 81305616 92920704 108407488 162611232 216814976 325222464 511305853 650444928 1022611706 1533917559 2045223412 3067835118 3579140971 4090446824 6135670236 7158281942 8180893648 10737422913 12271340472 14316563884 16361787296 21474845826 24542680944 28633127768 32723574592 42949691652 49085361888 57266255536 65447149184 85899383304 98170723776 114532511072 171798766608 196341447552 229065022144 343597533216 458130044288 687195066432 1374390132864