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23052131144504 = 23711437993108881
BaseRepresentation
bin1010011110111001111100…
…00101101001001100111000
310000121202120122200022101122
411033130332011221030320
511010141231033111004
6121010000341004412
74566314204502020
oct517347605511470
9100552518608348
1023052131144504
117388399077210
1227037a80b3708
13cb2a642573b7
14599a2c91aa80
1529e98b0d9cbe
hex14f73e169338

23052131144504 has 128 divisors (see below), whose sum is σ = 55148715578880. Its totient is φ = 8771303116800.

The previous prime is 23052131144473. The next prime is 23052131144531. The reversal of 23052131144504 is 40544113125032.

It is a super-2 number, since 2×230521311445042 (a number of 28 digits) contains 22 as substring.

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, 211664144 + ... + 211773024.

It is an arithmetic number, because the mean of its divisors is an integer number (430849340460).

Almost surely, 223052131144504 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 23052131144504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27574357789440).

23052131144504 is an abundant number, since it is smaller than the sum of its proper divisors (32096584434376).

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

23052131144504 is a wasteful number, since it uses less digits than its factorization.

23052131144504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116941 (or 116937 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 23052131144504 its reverse (40544113125032), we get a palindrome (63596244269536).

The spelling of 23052131144504 in words is "twenty-three trillion, fifty-two billion, one hundred thirty-one million, one hundred forty-four thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1204 1892 2408 3311 3784 6622 7993 13244 15986 26488 31972 55951 63944 87923 108881 111902 175846 217762 223804 343699 351692 435524 447608 615461 687398 703384 762167 871048 1197691 1230922 1374796 1524334 2395382 2405893 2461844 2749592 3048668 3780689 4681883 4790764 4811786 4923688 6097336 7561378 8383837 9363766 9581528 9623572 15122756 16767674 18727532 19247144 26464823 30245512 32773181 33535348 37455064 51500713 52929646 65546362 67070696 103001426 105859292 131092724 206002852 211718584 262185448 360504991 412005704 721009982 870285833 1442019964 1740571666 2884039928 3481143332 6092000831 6962286664 9573144163 12184001662 19146288326 24368003324 37422290819 38292576652 48736006648 67012009141 74844581638 76585153304 134024018282 149689163276 261956035733 268048036564 299378326552 411645199009 523912071466 536096073128 823290398018 1047824142932 1646580796036 2095648285864 2881516393063 3293161592072 5763032786126 11526065572252 23052131144504