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23444455444432 = 24113110142979901
BaseRepresentation
bin1010101010010100101100…
…11100000100111111010000
310002000021020102001201100121
411111022112130010333100
511033103221043210212
6121510122324200024
74636543314150511
oct525122634047720
9102007212051317
1023444455444432
1175198129a2530
122767838839014
131010a585aaa79
145b0a09512a08
152a9c9dbe6d07
hex155296704fd0

23444455444432 has 160 divisors (see below), whose sum is σ = 51675230573568. Its totient is φ = 10207296000000.

The previous prime is 23444455444427. The next prime is 23444455444433.

23444455444432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23444455444432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444455444433) 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, 2367882682 + ... + 2367892582.

Almost surely, 223444455444432 is an apocalyptic number.

23444455444432 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 23444455444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837615286784).

23444455444432 is an abundant number, since it is smaller than the sum of its proper divisors (28230775129136).

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

23444455444432 is a wasteful number, since it uses less digits than its factorization.

23444455444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14343 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 52.

It can be divided in two parts, 2344445 and 5444432, that added together give a palindrome (7788877).

The spelling of 23444455444432 in words is "twenty-three trillion, four hundred forty-four billion, four hundred fifty-five million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 101 124 176 202 248 341 404 496 682 808 1111 1364 1616 2222 2728 3131 4297 4444 5456 6262 8594 8888 9901 12524 17188 17776 19802 25048 34376 34441 39604 47267 50096 68752 68882 79208 94534 108911 133207 137764 158416 189068 217822 266414 275528 306931 378136 433997 435644 532828 551056 613862 756272 867994 871288 1000001 1065656 1227724 1465277 1735988 1742576 2000002 2131312 2455448 2930554 3376241 3471976 4000004 4773967 4910896 5861108 6752482 6943952 8000008 9547934 11000011 11722216 13453907 13504964 16000016 19095868 22000022 23444432 26907814 27009928 31000031 38191736 42544597 44000044 53815628 54019856 62000062 76383472 85089194 88000088 107631256 124000124 147992977 170178388 176000176 215262512 248000248 295985954 340356776 341000341 467990567 496000496 591971908 680713552 682000682 935981134 1183943816 1318882507 1364001364 1871962268 2367887632 2637765014 2728002728 3743924536 4297004297 5275530028 5456005456 7487849072 8594008594 10551060056 14507707577 17188017188 21102120112 29015415154 34376034376 47267047267 58030830308 68752068752 94534094534 116061660616 133207133207 189068189068 232123321232 266414266414 378136378136 532828532828 756272756272 1065657065656 1465278465277 2131314131312 2930556930554 5861113861108 11722227722216 23444455444432