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40554210816 = 29337419087
BaseRepresentation
bin100101110001001110…
…000010011000000000
310212200021220100211000
4211301032002120000
51131023334221231
630344053252000
72633654050530
oct456116023000
9125607810730
1040554210816
1116220881909
127a39634000
133a93b38562
141d6a0354c0
1510c54ac6e6
hex971382600

40554210816 has 160 divisors (see below), whose sum is σ = 137192647680. Its totient is φ = 11586889728.

The previous prime is 40554210707. The next prime is 40554210833. The reversal of 40554210816 is 61801245504.

It is a happy number.

40554210816 is a `hidden beast` number, since 4 + 0 + 5 + 542 + 108 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 112776 + ... + 306311.

It is an arithmetic number, because the mean of its divisors is an integer number (857454048).

Almost surely, 240554210816 is an apocalyptic number.

It is an amenable number.

40554210816 is an abundant number, since it is smaller than the sum of its proper divisors (96638436864).

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

40554210816 is an equidigital number, since it uses as much as digits as its factorization.

40554210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419121 (or 419099 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40554210816 in words is "forty billion, five hundred fifty-four million, two hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 419087 838174 1257261 1676348 2514522 2933609 3352696 3771783 5029044 5867218 6705392 7543566 8800827 10058088 11315349 11734436 13410784 15087132 17601654 20116176 22630698 23468872 26402481 26821568 30174264 35203308 40232352 45261396 46937744 52804962 53643136 60348528 70406616 79207443 80464704 90522792 93875488 105609924 107286272 120697056 140813232 158414886 160929408 181045584 187750976 211219848 214572544 241394112 281626464 316829772 321858816 362091168 375501952 422439696 482788224 563252928 633659544 643717632 724182336 751003904 844879392 965576448 1126505856 1267319088 1448364672 1502007808 1689758784 1931152896 2253011712 2534638176 2896729344 3379517568 4506023424 5069276352 5793458688 6759035136 10138552704 13518070272 20277105408 40554210816