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40054110000432 = 243112332179149417
BaseRepresentation
bin10010001101101110100101…
…11111111001010100110000
312020211010122210102211121120
421012313102333321110300
520222221304130003212
6221104334253222240
711302546120336023
oct1106672277712460
9166733583384546
1040054110000432
11118429419832a0
1245aa908491980
1319471179914b8
149c68b49d51ba
15496d7531488c
hex246dd2ff9530

40054110000432 has 160 divisors (see below), whose sum is σ = 113417011918080. Its totient is φ = 12079889141760.

The previous prime is 40054110000427. The next prime is 40054110000433. The reversal of 40054110000432 is 23400001145004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40054110000433) 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, 267994588 + ... + 268144004.

It is an arithmetic number, because the mean of its divisors is an integer number (708856324488).

Almost surely, 240054110000432 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 40054110000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56708505959040).

40054110000432 is an abundant number, since it is smaller than the sum of its proper divisors (73362901917648).

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

40054110000432 is a wasteful number, since it uses less digits than its factorization.

40054110000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151851 (or 151845 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40054110000432 its reverse (23400001145004), we get a palindrome (63454111145436).

The spelling of 40054110000432 in words is "forty trillion, fifty-four billion, one hundred ten million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 233 264 466 528 699 932 1398 1864 2179 2563 2796 3728 4358 5126 5592 6537 7689 8716 10252 11184 13074 15378 17432 20504 23969 26148 30756 34864 41008 47938 52296 61512 71907 95876 104592 123024 143814 149417 191752 287628 298834 383504 448251 507707 575256 597668 896502 1015414 1150512 1195336 1523121 1643587 1793004 2030828 2390672 3046242 3287174 3586008 4061656 4930761 5584777 6092484 6574348 7172016 8123312 9861522 11169554 12184968 13148696 16754331 19723044 22339108 24369936 26297392 33508662 34814161 39446088 44678216 67017324 69628322 78892176 89356432 104442483 134034648 139256644 208884966 268069296 278513288 325579643 382955771 417769932 557026576 651159286 765911542 835539864 976738929 1148867313 1302318572 1531823084 1671079728 1953477858 2297734626 2604637144 3063646168 3581376073 3906955716 4595469252 5209274288 6127292336 7162752146 7813911432 9190938504 10744128219 14325504292 15627822864 18381877008 21488256438 28651008584 42976512876 57302017168 75860056819 85953025752 151720113638 171906051504 227580170457 303440227276 455160340914 606880454552 834460625009 910320681828 1213760909104 1668921250018 1820641363656 2503381875027 3337842500036 3641282727312 5006763750054 6675685000072 10013527500108 13351370000144 20027055000216 40054110000432