Search a number
-
+
241332154042240 = 2753302911416679
BaseRepresentation
bin110110110111110110000101…
…010100001000011110000000
31011122111010110202102002221101
4312313312011110020132000
5223112441222413322430
62213134243330104144
7101555446516040302
oct6667660524103600
91148433422362841
10241332154042240
116a994434493438
122309795611b054
13a4876a8375c71
144384777c09972
151cd790a999dca
hexdb7d85508780

241332154042240 has 64 divisors (see below), whose sum is σ = 576952198812000. Its totient is φ = 96529930491904.

The previous prime is 241332154042229. The next prime is 241332154042261. The reversal of 241332154042240 is 42240451233142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 241332154042240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15430221 + ... + 26846899.

Almost surely, 2241332154042240 is an apocalyptic number.

241332154042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241332154042240 is an abundant number, since it is smaller than the sum of its proper divisors (335620044769760).

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

241332154042240 is a wasteful number, since it uses less digits than its factorization.

241332154042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11449727 (or 11449715 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 241332154042240 in words is "two hundred forty-one trillion, three hundred thirty-two billion, one hundred fifty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 33029 66058 132116 165145 264232 330290 528464 660580 1056928 1321160 2113856 2642320 4227712 5284640 10569280 11416679 21138560 22833358 45666716 57083395 91333432 114166790 182666864 228333580 365333728 456667160 730667456 913334320 1461334912 1826668640 3653337280 7306674560 377081490691 754162981382 1508325962764 1885407453455 3016651925528 3770814906910 6033303851056 7541629813820 12066607702112 15083259627640 24133215404224 30166519255280 48266430808448 60333038510560 120666077021120 241332154042240