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32121444142004 = 227311061327110663
BaseRepresentation
bin1110100110110110110110…
…10001001000101110110100
311012201210001200010020100112
413103123123101020232310
513202234204200021004
6152152215425402152
76523461221151230
oct723333321105664
9135653050106315
1032121444142004
11a26469a8a5248
123729426799358
1314c0068123379
147d0986ca55c0
153aa844920e6e
hex1d36db448bb4

32121444142004 has 96 divisors (see below), whose sum is σ = 66404261855232. Its totient is φ = 13304384784000.

The previous prime is 32121444141847. The next prime is 32121444142019. The reversal of 32121444142004 is 40024144412123.

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, 3012415577 + ... + 3012426239.

It is an arithmetic number, because the mean of its divisors is an integer number (691711060992).

Almost surely, 232121444142004 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 32121444142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33202130927616).

32121444142004 is an abundant number, since it is smaller than the sum of its proper divisors (34282817713228).

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

32121444142004 is a wasteful number, since it uses less digits than its factorization.

32121444142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15037 (or 15035 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 32121444142004 its reverse (40024144412123), we get a palindrome (72145588554127).

The spelling of 32121444142004 in words is "thirty-two trillion, one hundred twenty-one billion, four hundred forty-four million, one hundred forty-two thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1061 2122 3271 4244 6542 7427 10663 13084 14854 21326 22897 29708 32891 42652 45794 65782 74641 91588 101401 131564 149282 202802 230237 298564 330553 405604 460474 661106 709807 920948 1322212 1419614 2313871 2839228 3470531 4627742 6941062 9255484 11313443 13882124 22626886 24293717 34878673 45253772 48587434 69757346 79194101 97174868 107586461 139514692 158388202 215172922 244150711 316776404 350716733 430345844 488301422 701433466 753105227 976602844 1081238863 1402866932 1506210454 2162477726 2455017131 3012420908 4324955452 4910034262 7568672041 9820068524 15137344082 30274688164 37006272053 74012544106 148025088212 259043904371 518087808742 1036175617484 1147194433643 2294388867286 4588777734572 8030361035501 16060722071002 32121444142004