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23442111124432 = 24711132775284001
BaseRepresentation
bin1010101010010000010101…
…01101001101001111010000
310002000001012000210220212221
411111020022231031033100
511033033420421440212
6121505053541230424
74636431236566360
oct525101255151720
9102001160726787
1023442111124432
11751881a660190
1227672a3702414
1310107739b8980
145b08660289a0
152a9bb2ebd807
hex15520ab4d3d0

23442111124432 has 160 divisors (see below), whose sum is σ = 61202439293184. Its totient is φ = 8400291840000.

The previous prime is 23442111124429. The next prime is 23442111124477.

23442111124432 is nontrivially palindromic in base 10.

23442111124432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1794432 + ... + 7078432.

Almost surely, 223442111124432 is an apocalyptic number.

23442111124432 is a gapful number since it is divisible by the number (22) 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 23442111124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30601219646592).

23442111124432 is an abundant number, since it is smaller than the sum of its proper divisors (37760328168752).

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

23442111124432 is a wasteful number, since it uses less digits than its factorization.

23442111124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284317 (or 5284311 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2344211 and 1124432, that added together give a palindrome (3468643).

The spelling of 23442111124432 in words is "twenty-three trillion, four hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 277 286 308 364 554 572 616 728 1001 1108 1144 1232 1456 1939 2002 2216 2288 3047 3601 3878 4004 4432 6094 7202 7756 8008 12188 14404 15512 16016 21329 24376 25207 28808 31024 39611 42658 48752 50414 57616 79222 85316 100828 158444 170632 201656 277277 316888 341264 403312 554554 633776 1109108 2218216 4436432 5284001 10568002 21136004 36988007 42272008 58124011 68692013 73976014 84544016 116248022 137384026 147952028 232496044 274768052 295904056 406868077 464992088 480844091 549536104 591808112 755612143 813736154 929984176 961688182 1099072208 1463668277 1511224286 1627472308 1923376364 2927336554 3022448572 3254944616 3846752728 5289285001 5854673108 6044897144 6509889232 7693505456 10245677939 10578570002 11709346216 12089794288 16100351047 19027687601 20491355878 21157140004 23418692432 32200702094 38055375202 40982711756 42314280008 64401404188 76110750404 81965423512 84628560016 112702457329 128802808376 133193813207 152221500808 163930847024 209304563611 225404914658 257605616752 266387626414 304443001616 418609127222 450809829316 532775252828 837218254444 901619658632 1065550505656 1465131945277 1674436508888 1803239317264 2131101011312 2930263890554 3348873017776 5860527781108 11721055562216 23442111124432