Search a number
-
+
153000202243104 = 2533797222187663
BaseRepresentation
bin100010110010011100100010…
…101101001000110000100000
3202001201200021011022002021000
4202302130202231020300200
5130023223403233234404
61301223153402232000
744140620433066506
oct4262344255106040
9661650234262230
10153000202243104
11448290265061a7
12151b056a1b5600
13674ab1b25a098
1429ad36c11a676
1512a4d467c2339
hex8b2722b48c20

153000202243104 has 96 divisors (see below), whose sum is σ = 446810504797440. Its totient is φ = 50936077138176.

The previous prime is 153000202243103. The next prime is 153000202243123. The reversal of 153000202243104 is 401342202000351.

153000202243104 is a `hidden beast` number, since 1 + 5 + 300 + 0 + 20 + 2 + 24 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153000202243103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110405224 + ... + 111782439.

It is an arithmetic number, because the mean of its divisors is an integer number (4654276091640).

Almost surely, 2153000202243104 is an apocalyptic number.

It is an amenable number.

153000202243104 is an abundant number, since it is smaller than the sum of its proper divisors (293810302554336).

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

153000202243104 is a wasteful number, since it uses less digits than its factorization.

153000202243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222188479 (or 222188465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 153000202243104 its reverse (401342202000351), we get a palindrome (554342404243455).

The spelling of 153000202243104 in words is "one hundred fifty-three trillion, two hundred two million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 797 864 1594 2391 3188 4782 6376 7173 9564 12752 14346 19128 21519 25504 28692 38256 43038 57384 76512 86076 114768 172152 229536 344304 688608 222187663 444375326 666562989 888750652 1333125978 1777501304 1999688967 2666251956 3555002608 3999377934 5332503912 5999066901 7110005216 7998755868 10665007824 11998133802 15997511736 21330015648 23996267604 31995023472 47992535208 63990046944 95985070416 177083567411 191970140832 354167134822 531250702233 708334269644 1062501404466 1416668539288 1593752106699 2125002808932 2833337078576 3187504213398 4250005617864 4781256320097 5666674157152 6375008426796 8500011235728 9562512640194 12750016853592 17000022471456 19125025280388 25500033707184 38250050560776 51000067414368 76500101121552 153000202243104