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901348427340 = 2232513936025117
BaseRepresentation
bin11010001110111001000…
…11011000011001001100
310012011112112002021210200
431013130203120121030
5104231430144133330
61530023532533500
7122056153135404
oct15073443303114
93164475067720
10901348427340
11318294764259
1212682b921290
1366cc5c4b6ca
14318a8511804
15186a5ad5a60
hexd1dc8d864c

901348427340 has 72 divisors (see below), whose sum is σ = 2753760019920. Its totient is φ = 238630368384.

The previous prime is 901348427323. The next prime is 901348427407. The reversal of 901348427340 is 43724843109.

901348427340 is a `hidden beast` number, since 90 + 13 + 484 + 2 + 73 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17987539 + ... + 18037578.

Almost surely, 2901348427340 is an apocalyptic number.

901348427340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

901348427340 is an abundant number, since it is smaller than the sum of its proper divisors (1852411592580).

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

901348427340 is a wasteful number, since it uses less digits than its factorization.

901348427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36025271 (or 36025266 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 901348427340 in words is "nine hundred one billion, three hundred forty-eight million, four hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 36025117 72050234 108075351 144100468 180125585 216150702 324226053 360251170 432301404 540376755 648452106 720502340 1080753510 1296904212 1621130265 2161507020 3242260530 5007491263 6484521060 10014982526 15022473789 20029965052 25037456315 30044947578 45067421367 50074912630 60089895156 75112368945 90134842734 100149825260 150224737890 180269685468 225337106835 300449475780 450674213670 901348427340