Search a number
-
+
5408490138912 = 253274165433727
BaseRepresentation
bin100111010110100001100…
…1000100010110100100000
3201011001020222101020111100
41032231003020202310200
51202103041433421122
615300343121514400
71065515266436550
oct116550310426440
921131228336440
105408490138912
1117a5800758993
127342504a2a00
13303031657233
14149ab535d160
1595a49681aac
hex4eb43222d20

5408490138912 has 144 divisors (see below), whose sum is σ = 18006315005952. Its totient is φ = 1507593047040.

The previous prime is 5408490138827. The next prime is 5408490139033. The reversal of 5408490138912 is 2198310948045.

It is a happy number.

5408490138912 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 490 + 138 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32634208 + ... + 32799519.

It is an arithmetic number, because the mean of its divisors is an integer number (125043854208).

Almost surely, 25408490138912 is an apocalyptic number.

It is an amenable number.

5408490138912 is an abundant number, since it is smaller than the sum of its proper divisors (12597824867040).

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

5408490138912 is a wasteful number, since it uses less digits than its factorization.

5408490138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65433791 (or 65433780 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5408490138912 in words is "five trillion, four hundred eight billion, four hundred ninety million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 65433727 130867454 196301181 261734908 392602362 458036089 523469816 588903543 785204724 916072178 1046939632 1177807086 1374108267 1570409448 1832144356 2093879264 2355614172 2682782807 2748216534 3140818896 3664288712 4122324801 4711228344 5365565614 5496433068 6281637792 7328577424 8048348421 8244649602 9422456688 10731131228 10992866136 14657154848 16096696842 16489299204 18779479649 18844913376 21462262456 21985732272 24145045263 32193393684 32978598408 37558959298 42924524912 43971464544 48290090526 56338438947 64386787368 65957196816 75117918596 85849049824 96580181052 112676877894 128773574736 131914393632 150235837192 169015316841 193160362104 225353755788 257547149472 300471674384 338030633682 386320724208 450707511576 600943348768 676061267364 772641448416 901415023152 1352122534728 1802830046304 2704245069456 5408490138912