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40868528607252 = 22343128971404539
BaseRepresentation
bin10010100101011011100100…
…01000010101000000010100
312100200222211000201200210000
421102231302020111000110
520324042221310413002
6222530424242331300
711415440144305443
oct1122556210250024
9170628730650700
1040868528607252
1112027277a5a775
124700717659b30
1319a5b68ba4588
14a14093c7cd5a
154ad13e37661c
hex252b72215014

40868528607252 has 120 divisors (see below), whose sum is σ = 110322953959680. Its totient is φ = 13178836235520.

The previous prime is 40868528607223. The next prime is 40868528607253. The reversal of 40868528607252 is 25270682586804.

It is a happy number.

40868528607252 is a `hidden beast` number, since 4 + 0 + 86 + 8 + 528 + 6 + 0 + 7 + 25 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40868528607252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40868528607253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28395199 + ... + 29799737.

It is an arithmetic number, because the mean of its divisors is an integer number (919357949664).

Almost surely, 240868528607252 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 40868528607252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161476979840).

40868528607252 is an abundant number, since it is smaller than the sum of its proper divisors (69454425352428).

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

40868528607252 is a wasteful number, since it uses less digits than its factorization.

40868528607252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407483 (or 1407472 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 40868528607252 in words is "forty trillion, eight hundred sixty-eight billion, five hundred twenty-eight million, six hundred seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 2897 3348 5022 5794 8691 10044 11588 17382 26073 34764 52146 78219 89807 104292 156438 179614 234657 269421 312876 359228 469314 538842 808263 938628 1077684 1404539 1616526 2424789 2809078 3233052 4213617 4849578 5618156 7274367 8427234 9699156 12640851 14548734 16854468 25281702 29097468 37922553 43540709 50563404 75845106 87081418 113767659 130622127 151690212 174162836 227535318 261244254 391866381 455070636 522488508 783732762 1175599143 1567465524 2351198286 3526797429 4068949483 4702396572 7053594858 8137898966 12206848449 14107189716 16275797932 24413696898 36620545347 48827393796 73241090694 109861636041 126137433973 146482181388 219723272082 252274867946 329584908123 378412301919 439446544164 504549735892 659169816246 756824603838 1135236905757 1318339632492 1513649207676 2270473811514 3405710717271 4540947623028 6811421434542 10217132151813 13622842869084 20434264303626 40868528607252