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13400442510152 = 23232937660710273
BaseRepresentation
bin1100001100000000100010…
…0111011001101101001000
31202110001212212201202002012
43003000020213121231020
53224023101240311102
644300024525155052
72552102312645435
oct303001047315510
952401785652065
1013400442510152
1142a71064a2565
1216051190bba88
1376286bba0289
14344828c96b8c
15183899d3e752
hexc30089d9b48

13400442510152 has 128 divisors (see below), whose sum is σ = 27862298956800. Its totient is φ = 6019172425728.

The previous prime is 13400442510151. The next prime is 13400442510163. The reversal of 13400442510152 is 25101524400431.

It is not an unprimeable number, because it can be changed into a prime (13400442510151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304428088 + ... + 1304438360.

It is an arithmetic number, because the mean of its divisors is an integer number (217674210600).

Almost surely, 213400442510152 is an apocalyptic number.

It is an amenable number.

13400442510152 is an abundant number, since it is smaller than the sum of its proper divisors (14461856446648).

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

13400442510152 is a wasteful number, since it uses less digits than its factorization.

13400442510152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16975 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 13400442510152 its reverse (25101524400431), we get a palindrome (38501966910583).

The spelling of 13400442510152 in words is "thirteen trillion, four hundred billion, four hundred forty-two million, five hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 4 8 23 29 37 46 58 74 92 116 148 184 232 296 667 851 1073 1334 1702 2146 2668 3404 4292 5336 6607 6808 8584 10273 13214 20546 24679 26428 41092 49358 52856 82184 98716 151961 191603 197432 236279 244459 297917 303922 380101 383206 472558 488918 595834 607844 760202 766412 945116 977836 1191668 1215688 1520404 1532824 1890232 1955672 2383336 3040808 4406869 5622557 6852091 7089311 8742323 8813738 11022929 11245114 13704182 14178622 17484646 17627476 22045858 22490228 27408364 28357244 34969292 35254952 44091716 44980456 54816728 56714488 67873711 69938584 88183432 135747422 163054153 253527367 271494844 326108306 507054734 542989688 652216612 1014109468 1304433224 1561095353 1968337619 2028218936 2511327307 3122190706 3936675238 5022654614 6244381412 7873350476 10045309228 12488762824 15746700952 20090618456 45271765237 57760528061 72828491903 90543530474 115521056122 145656983806 181087060948 231042112244 291313967612 362174121896 462084224488 582627935224 1675055313769 3350110627538 6700221255076 13400442510152