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241042040200024 = 237292411597338557
BaseRepresentation
bin110110110011100111111001…
…001011101001101101011000
31011121110101122020000221011021
4312303213321023221231120
5223043213044242400044
62212353103511412224
7101525466314053240
oct6663477113515530
91147411566027137
10241042040200024
116a89239a815878
122304b68b684074
13a46622278567b
1443746d5a74b20
151cd00cb1ace84
hexdb39f92e9b58

241042040200024 has 128 divisors (see below), whose sum is σ = 536594288630400. Its totient is φ = 99318874152960.

The previous prime is 241042040200007. The next prime is 241042040200141. The reversal of 241042040200024 is 420002040240142.

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, 6251557354 + ... + 6251595910.

It is an arithmetic number, because the mean of its divisors is an integer number (4192142879925).

Almost surely, 2241042040200024 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 241042040200024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268297144315200).

241042040200024 is an abundant number, since it is smaller than the sum of its proper divisors (295552248430376).

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

241042040200024 is a wasteful number, since it uses less digits than its factorization.

241042040200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54813 (or 54809 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 241042040200024 its reverse (420002040240142), we get a palindrome (661044080440166).

The spelling of 241042040200024 in words is "two hundred forty-one trillion, forty-two billion, forty million, two hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 241 406 482 812 964 1624 1687 1928 3374 6748 6989 13496 13978 15973 27956 31946 38557 48923 55912 63892 77114 97846 111811 127784 154228 195692 223622 269899 308456 391384 447244 463217 539798 894488 926434 1079596 1118153 1852868 2159192 2236306 3242519 3705736 3849493 4472612 6485038 7698986 7827071 8945224 9292237 12970076 15397972 15654142 18584474 25940152 26946451 30795944 31308284 37168948 53892902 62616568 65045659 74337896 107785804 111635297 130091318 215571608 223270594 260182636 269474873 446541188 520365272 538949746 615870961 781447079 893082376 1077899492 1231741922 1562894158 1886324111 2155798984 2463483844 3125788316 3772648222 4311096727 4926967688 6251576632 7545296444 8622193454 15090592888 17244386908 17860257869 34488773816 35720515738 71441031476 125021805083 142882062952 148424901601 250043610166 296849803202 500087220332 593699606404 1000174440664 1038974311207 1187399212808 2077948622414 4155897244828 4304322146429 8311794489656 8608644292858 17217288585716 30130255025003 34434577171432 60260510050006 120521020100012 241042040200024