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40537415412 = 22331345763179
BaseRepresentation
bin100101110000001101…
…111101111011110100
310212122010022001212000
4211300031331323310
51131010034243122
630342253255300
72633361226404
oct456015757364
9125563261760
1040537415412
111621235020a
127a33a94530
133a90507950
141d67b02804
1510c3c910ac
hex97037def4

40537415412 has 96 divisors (see below), whose sum is σ = 113430844800. Its totient is φ = 12445560576.

The previous prime is 40537415411. The next prime is 40537415431. The reversal of 40537415412 is 21451473504.

40537415412 is a `hidden beast` number, since 40 + 5 + 3 + 74 + 1 + 541 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40537415411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610039 + ... + 673217.

It is an arithmetic number, because the mean of its divisors is an integer number (1181571300).

Almost surely, 240537415412 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 40537415412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715422400).

40537415412 is an abundant number, since it is smaller than the sum of its proper divisors (72893429388).

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

40537415412 is a wasteful number, since it uses less digits than its factorization.

40537415412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63662 (or 63654 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 40537415412 its reverse (21451473504), we get a palindrome (61988888916).

The spelling of 40537415412 in words is "forty billion, five hundred thirty-seven million, four hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 457 468 702 914 1371 1404 1828 2742 4113 5484 5941 8226 11882 12339 16452 17823 23764 24678 35646 49356 53469 63179 71292 106938 126358 160407 189537 213876 252716 320814 379074 568611 641628 758148 821327 1137222 1642654 1705833 2274444 2463981 3285308 3411666 4927962 6823332 7391943 9855924 14783886 22175829 28872803 29567772 44351658 57745606 86618409 88703316 115491212 173236818 259855227 346473636 375346439 519710454 750692878 779565681 1039420908 1126039317 1501385756 1559131362 2252078634 3118262724 3378117951 4504157268 6756235902 10134353853 13512471804 20268707706 40537415412