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1464434045360 = 2451113128009969
BaseRepresentation
bin10101010011110111000…
…100100011000110110000
312011222221221000102222022
4111103313010203012300
5142443130103422420
63040430211531012
7210542020000466
oct25236704430660
95158857012868
101464434045360
11515076928250
121b7997bb9a68
13a8131b87430
1450c43d1a836
152815ecc3c25
hex154f71231b0

1464434045360 has 80 divisors (see below), whose sum is σ = 4000055542560. Its totient is φ = 491558277120.

The previous prime is 1464434045353. The next prime is 1464434045383. The reversal of 1464434045360 is 635404344641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 63993545 + ... + 64016424.

It is an arithmetic number, because the mean of its divisors is an integer number (50000694282).

Almost surely, 21464434045360 is an apocalyptic number.

1464434045360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464434045360 is an abundant number, since it is smaller than the sum of its proper divisors (2535621497200).

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

1464434045360 is a wasteful number, since it uses less digits than its factorization.

1464434045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128010006 (or 128010000 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 1464434045360 in words is "one trillion, four hundred sixty-four billion, four hundred thirty-four million, forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 128009969 256019938 512039876 640049845 1024079752 1280099690 1408109659 1664129597 2048159504 2560199380 2816219318 3328259194 5120398760 5632438636 6656518388 7040548295 8320647985 10240797520 11264877272 13313036776 14081096590 16641295970 18305425567 22529754544 26626073552 28162193180 33282591940 36610851134 56324386360 66565183880 73221702268 91527127835 112648772720 133130367760 146443404536 183054255670 292886809072 366108511340 732217022680 1464434045360