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23114420242440 = 23351817507141761
BaseRepresentation
bin1010100000101101111101…
…10011101100100000001000
310000211201100200121100011220
411100112332303230200020
511012201313040224230
6121054341300322040
74603650611213442
oct520267663544010
9100751320540156
1023114420242440
1174018526a944a
1227138906a3320
13cb88b00103b7
1459ca5b401492
152a13d47a8d10
hex1505becec808

23114420242440 has 128 divisors (see below), whose sum is σ = 69736152769920. Its totient is φ = 6128931225600.

The previous prime is 23114420242421. The next prime is 23114420242471. The reversal of 23114420242440 is 4424202441132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162981160 + ... + 163122920.

It is an arithmetic number, because the mean of its divisors is an integer number (544813693515).

Almost surely, 223114420242440 is an apocalyptic number.

23114420242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23114420242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34868076384960).

23114420242440 is an abundant number, since it is smaller than the sum of its proper divisors (46621732527480).

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

23114420242440 is a wasteful number, since it uses less digits than its factorization.

23114420242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149463 (or 149459 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 23114420242440 its reverse (4424202441132), we get a palindrome (27538622683572).

The spelling of 23114420242440 in words is "twenty-three trillion, one hundred fourteen billion, four hundred twenty million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 7507 10860 15014 21720 22521 30028 37535 45042 60056 75070 90084 112605 141761 150140 180168 225210 283522 300280 425283 450420 567044 708805 850566 900840 1134088 1358767 1417610 1701132 2126415 2717534 2835220 3402264 4076301 4252830 5435068 5670440 6793835 8152602 8505660 10870136 13587670 16305204 17011320 20381505 25658741 27175340 32610408 40763010 51317482 54350680 76976223 81526020 102634964 128293705 153952446 163052040 205269928 256587410 307904892 384881115 513174820 615809784 769762230 1026349640 1064199827 1539524460 2128399654 3079048920 3192599481 4256799308 5320999135 6385198962 8513598616 10641998270 12770397924 15962997405 21283996540 25540795848 31925994810 42567993080 63851989620 127703979240 192620168687 385240337374 577860506061 770480674748 963100843435 1155721012122 1540961349496 1926201686870 2311442024244 2889302530305 3852403373740 4622884048488 5778605060610 7704806747480 11557210121220 23114420242440