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34444132022412 = 22327294713209089
BaseRepresentation
bin1111101010011101001100…
…10000001111100010001100
311111221211022210010212001200
413311032212100033202030
514003313040244204122
6201131225451505500
710153335462323610
oct765164620174214
9144854283125050
1034444132022412
11aa7a74662a712
123a43606158290
13162b0b59c3138
14871167b39340
153eae86cb75ac
hex1f53a640f88c

34444132022412 has 72 divisors (see below), whose sum is σ = 102936486525600. Its totient is φ = 9501829521408.

The previous prime is 34444132022401. The next prime is 34444132022453. The reversal of 34444132022412 is 21422023144443.

34444132022412 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 413 + 2 + 0 + 224 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356597237 + ... + 2356611852.

Almost surely, 234444132022412 is an apocalyptic number.

It is an amenable number.

34444132022412 is an abundant number, since it is smaller than the sum of its proper divisors (68492354503188).

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

34444132022412 is a wasteful number, since it uses less digits than its factorization.

34444132022412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713209135 (or 4713209130 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34444132022412 its reverse (21422023144443), we get a palindrome (55866155166855).

The spelling of 34444132022412 in words is "thirty-four trillion, four hundred forty-four billion, one hundred thirty-two million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 4713209089 9426418178 14139627267 18852836356 28279254534 32992463623 42418881801 56558509068 65984927246 84837763602 98977390869 131969854492 136683063581 169675527204 197954781738 273366127162 296932172607 395909563476 410049190743 546732254324 593864345214 820098381486 956781445067 1187728690428 1230147572229 1640196762972 1913562890134 2460295144458 2870344335201 3827125780268 4920590288916 5740688670402 8611033005603 11481377340804 17222066011206 34444132022412