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4240423618116 = 223767241926839
BaseRepresentation
bin111101101101001100111…
…100011000011001000100
3120000101021102010221201220
4331231030330120121010
51023433341421234431
613004005042320340
7615234436021140
oct75551474303104
916011242127656
104240423618116
111395398648424
125859a53590b0
13249b40b8a96a
14109347d80220
15754831e2b96
hex3db4cf18644

4240423618116 has 144 divisors (see below), whose sum is σ = 11506913510400. Its totient is φ = 1190574044352.

The previous prime is 4240423618111. The next prime is 4240423618133. The reversal of 4240423618116 is 6118163240424.

4240423618116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42404236181162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4240423618111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157981425 + ... + 158008263.

It is an arithmetic number, because the mean of its divisors is an integer number (79909121600).

Almost surely, 24240423618116 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 4240423618116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753456755200).

4240423618116 is an abundant number, since it is smaller than the sum of its proper divisors (7266489892284).

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

4240423618116 is a wasteful number, since it uses less digits than its factorization.

4240423618116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27406 (or 27337 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 4240423618116 in words is "four trillion, two hundred forty billion, four hundred twenty-three million, six hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 419 469 804 838 938 1257 1407 1676 1876 2514 2814 2933 4489 5028 5628 5866 8799 8978 11732 13467 17598 17956 26839 26934 28073 31423 35196 53678 53868 56146 62846 80517 84219 94269 107356 112292 125692 161034 168438 187873 188538 196511 322068 336876 375746 377076 393022 563619 589533 751492 786044 1127238 1179066 1798213 1880891 2254476 2358132 3596426 3761782 5394639 5642673 7192852 7523564 10789278 11245541 11285346 12587491 13166237 21578556 22491082 22570692 25174982 26332474 33736623 37762473 39498711 44982164 50349964 52664948 67473246 75524946 78718787 78997422 120480271 134946492 151049892 157437574 157994844 236156361 240960542 314875148 361440813 472312722 481921084 722881626 753451247 843361897 944625444 1445763252 1506902494 1686723794 2260353741 2530085691 3013804988 3373447588 4520707482 5060171382 5274158729 9041414964 10120342764 10548317458 15822476187 21096634916 31644952374 50481233549 63289904748 100962467098 151443700647 201924934196 302887401294 353368634843 605774802588 706737269686 1060105904529 1413474539372 2120211809058 4240423618116