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40204124032152 = 2331931072282521
BaseRepresentation
bin10010010010000110000001…
…00010000000110010011000
312021100110212112022020101110
421021003000202000302120
520232201021223012102
6221301304122420320
711316436446511053
oct1111030042006230
9167313775266343
1040204124032152
11118a0522995703
1246139b39616a0
131958304114642
149cdc66199a9a
1549ac0526686c
hex2490c0880c98

40204124032152 has 128 divisors (see below), whose sum is σ = 107084976134400. Its totient is φ = 12577379086080.

The previous prime is 40204124032129. The next prime is 40204124032181. The reversal of 40204124032152 is 25123042140204.

It is a happy number.

It is a super-2 number, since 2×402041240321522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16472652 + ... + 18755172.

It is an arithmetic number, because the mean of its divisors is an integer number (836601376050).

Almost surely, 240204124032152 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 40204124032152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53542488067200).

40204124032152 is an abundant number, since it is smaller than the sum of its proper divisors (66880852102248).

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

40204124032152 is a wasteful number, since it uses less digits than its factorization.

40204124032152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282694 (or 2282652 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 40204124032152 its reverse (25123042140204), we get a palindrome (65327166172356).

The spelling of 40204124032152 in words is "forty trillion, two hundred four billion, one hundred twenty-four million, thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 361 428 456 642 722 856 1083 1284 1444 2033 2166 2568 2888 4066 4332 6099 6859 8132 8664 12198 13718 16264 20577 24396 27436 38627 41154 48792 54872 77254 82308 115881 154508 164616 231762 309016 463524 733913 927048 1467826 2201739 2282521 2935652 4403478 4565042 5871304 6847563 8806956 9130084 13695126 17613912 18260168 27390252 43367899 54780504 86735798 130103697 173471596 244229747 260207394 346943192 488459494 520414788 732689241 823990081 976918988 1040829576 1465378482 1647980162 1953837976 2471970243 2930756964 3295960324 4640365193 4943940486 5861513928 6591920648 9280730386 9887880972 13921095579 15655811539 18561460772 19775761944 27842191158 31311623078 37122921544 46967434617 55684382316 62623246156 88166938667 93934869234 111368764632 125246492312 176333877334 187869738468 264500816001 352667754668 375739476936 529001632002 705335509336 1058003264004 1675171834673 2116006528008 3350343669346 5025515504019 6700687338692 10051031008038 13401374677384 20102062016076 40204124032152