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23231012141412 = 223219791741246937
BaseRepresentation
bin1010100100000111001000…
…01110011111100101100100
310001020212022011211110222100
411102003210032133211210
511021104103102011122
6121224102445332100
74615246065051315
oct522034416374544
9101225264743870
1023231012141412
1174472427a4849
1227323aab67030
13cc68a10c652a
145a455bc6c60c
152a445a456aac
hex1520e439f964

23231012141412 has 144 divisors (see below), whose sum is σ = 62632169017600. Its totient is φ = 7239057246720.

The previous prime is 23231012141387. The next prime is 23231012141413. The reversal of 23231012141412 is 21414121013232.

23231012141412 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 101 + 2 + 141 + 412 = 666.

It is a super-2 number, since 2×232310121414122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23231012141413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93953208 + ... + 94200144.

Almost surely, 223231012141412 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 23231012141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31316084508800).

23231012141412 is an abundant number, since it is smaller than the sum of its proper divisors (39401156876188).

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

23231012141412 is a wasteful number, since it uses less digits than its factorization.

23231012141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248786 (or 248781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23231012141412 its reverse (21414121013232), we get a palindrome (44645133154644).

The spelling of 23231012141412 in words is "twenty-three trillion, two hundred thirty-one billion, twelve million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 474 684 711 948 1422 1501 1741 2844 3002 3482 4503 5223 6004 6964 9006 10446 13509 15669 18012 20892 27018 31338 33079 54036 62676 66158 99237 132316 137539 198474 246937 275078 297711 396948 412617 493874 550156 595422 740811 825234 987748 1190844 1237851 1481622 1650468 2222433 2475702 2613241 2963244 4444866 4691803 4951404 5226482 7839723 8889732 9383606 10452964 14075409 15679446 18767212 19508023 23519169 28150818 31358892 39016046 42226227 47038338 56301636 58524069 78032092 84452454 94076676 117048138 168904908 175572207 234096276 351144414 370652437 429917317 702288828 741304874 859834634 1111957311 1289751951 1482609748 1719669268 2223914622 2579503902 3335871933 3869255853 4447829244 5159007804 6671743866 7738511706 8168429023 13343487732 15477023412 16336858046 24505287069 32673716092 33963468043 49010574138 67926936086 73515861207 98021148276 101890404129 135853872172 147031722414 203780808258 294063444828 305671212387 407561616516 611342424774 645305892817 1222684849548 1290611785634 1935917678451 2581223571268 3871835356902 5807753035353 7743670713804 11615506070706 23231012141412