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23442422424432 = 243112319310001921
BaseRepresentation
bin1010101010010000111010…
…10000101110001101110000
310002000001222201120121012120
411111020131100232031300
511033040040120040212
6121505144501354240
74636442036601504
oct525103520561560
9102001881517176
1023442422424432
11751896a352510
12276736ba08980
1310107c3341c5b
145b0895500304
152a9bd04b088c
hex15521d42e370

23442422424432 has 160 divisors (see below), whose sum is σ = 69294595862016. Its totient is φ = 6759697612800.

The previous prime is 23442422424427. The next prime is 23442422424437.

23442422424432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23442422424427) and next prime (23442422424437).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442422424437) 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, 2657169 + ... + 7344752.

Almost surely, 223442422424432 is an apocalyptic number.

23442422424432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23442422424432 is an abundant number, since it is smaller than the sum of its proper divisors (45852173437584).

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

23442422424432 is a wasteful number, since it uses less digits than its factorization.

23442422424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002159 (or 10002153 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 2344242 and 2424432, that added together give a palindrome (4768674).

The spelling of 23442422424432 in words is "twenty-three trillion, four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 193 253 264 276 368 386 506 528 552 579 759 772 1012 1104 1158 1518 1544 2024 2123 2316 3036 3088 4048 4246 4439 4632 6072 6369 8492 8878 9264 12144 12738 13317 16984 17756 25476 26634 33968 35512 48829 50952 53268 71024 97658 101904 106536 146487 195316 213072 292974 390632 585948 781264 1171896 2343792 10001921 20003842 30005763 40007684 60011526 80015368 110021131 120023052 160030736 220042262 230044183 240046104 330063393 440084524 460088366 480092208 660126786 690132549 880169048 920176732 1320253572 1380265098 1760338096 1840353464 1930370753 2530486013 2640507144 2760530196 3680706928 3860741506 5060972026 5281014288 5521060392 5791112259 7591458039 7721483012 10121944052 11042120784 11582224518 15182916078 15442966024 20243888104 21234078283 23164449036 30365832156 30885932048 40487776208 42468156566 44398527319 46328898072 60731664312 63702234849 84936313132 88797054638 92657796144 121463328624 127404469698 133195581957 169872626264 177594109276 254808939396 266391163914 339745252528 355188218552 488383800509 509617878792 532782327828 710376437104 976767601018 1019235757584 1065564655656 1465151401527 1953535202036 2131129311312 2930302803054 3907070404072 5860605606108 7814140808144 11721211212216 23442422424432