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40537214208 = 283337158507
BaseRepresentation
bin100101110000001101…
…001100110100000000
310212122002220211212000
4211300031030310000
51131010011323313
630342245104000
72633356430661
oct456015146400
9125562824760
1040537214208
1116212223027
127a339b8000
133a904671aa
141d67a8d368
1510c3c51673
hex97034cd00

40537214208 has 144 divisors (see below), whose sum is σ = 123116333760. Its totient is φ = 13147121664.

The previous prime is 40537214203. The next prime is 40537214219. The reversal of 40537214208 is 80241273504.

It is a happy number.

40537214208 is a `hidden beast` number, since 405 + 37 + 2 + 14 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (40537214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176491 + ... + 334997.

It is an arithmetic number, because the mean of its divisors is an integer number (854974540).

Almost surely, 240537214208 is an apocalyptic number.

40537214208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40537214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61558166880).

40537214208 is an abundant number, since it is smaller than the sum of its proper divisors (82579119552).

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

40537214208 is a wasteful number, since it uses less digits than its factorization.

40537214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158569 (or 158549 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40537214208 in words is "forty billion, five hundred thirty-seven million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2664 3456 3552 3996 4736 5328 6912 7104 7992 9472 10656 14208 15984 21312 28416 31968 42624 63936 85248 127872 158507 255744 317014 475521 634028 951042 1268056 1426563 1902084 2536112 2853126 3804168 4279689 5072224 5706252 5864759 7608336 8559378 10144448 11412504 11729518 15216672 17118756 17594277 20288896 22825008 23459036 30433344 34237512 35188554 40577792 45650016 46918072 52782831 60866688 68475024 70377108 91300032 93836144 105565662 121733376 136950048 140754216 158348493 182600064 187672288 211131324 273900096 281508432 316696986 365200128 375344576 422262648 547800192 563016864 633393972 750689152 844525296 1095600384 1126033728 1266787944 1501378304 1689050592 2252067456 2533575888 3378101184 4504134912 5067151776 6756202368 10134303552 13512404736 20268607104 40537214208