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40355560404 = 223253611013433
BaseRepresentation
bin100101100101011000…
…001111101111010100
310212011110002212200100
4211211120033233110
51130122010413104
630312235414100
72626022414025
oct454530175724
9125143085610
1040355560404
1116129730915
1279a2bb4330
133a61934633
141d4b8c4c4c
1510b2d1d139
hex96560fbd4

40355560404 has 144 divisors (see below), whose sum is σ = 106715451024. Its totient is φ = 12849408000.

The previous prime is 40355560379. The next prime is 40355560411. The reversal of 40355560404 is 40406555304.

40355560404 is a `hidden beast` number, since 4 + 0 + 3 + 55 + 560 + 40 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14837904 + 40340722500 = 3852^2 + 200850^2 .

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11753472 + ... + 11756904.

It is an arithmetic number, because the mean of its divisors is an integer number (741079521).

Almost surely, 240355560404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40355560404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357725512).

40355560404 is an abundant number, since it is smaller than the sum of its proper divisors (66359890620).

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

40355560404 is a wasteful number, since it uses less digits than its factorization.

40355560404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 40355560404 in words is "forty billion, three hundred fifty-five million, five hundred sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 61 101 106 122 159 183 202 212 244 303 318 366 404 477 549 606 636 732 909 954 1098 1212 1818 1908 2196 3233 3433 3636 5353 6161 6466 6866 9699 10299 10706 12322 12932 13732 16059 18483 19398 20598 21412 24644 29097 30897 32118 36966 38796 41196 48177 55449 58194 61794 64236 73932 96354 110898 116388 123588 181949 192708 209413 221796 326533 346733 363898 418826 545847 628239 653066 693466 727796 837652 979599 1040199 1091694 1256478 1306132 1386932 1637541 1884717 1959198 2080398 2183388 2512956 2938797 3120597 3275082 3769434 3918396 4160796 5877594 6241194 6550164 7538868 11098889 11755188 12482388 18376849 21150713 22197778 33296667 36753698 42301426 44395556 55130547 63452139 66593334 73507396 84602852 99890001 110261094 126904278 133186668 165391641 190356417 199780002 220522188 253808556 330783282 380712834 399560004 661566564 761425668 1120987789 2241975578 3362963367 4483951156 6725926734 10088890101 13451853468 20177780202 40355560404