Search a number
-
+
241410981372 = 2231131107551363
BaseRepresentation
bin1110000011010100110…
…1110011110111111100
3212002010100100111120020
43200311031303313330
512423402202400442
6302522551052140
723304250325061
oct3406515636774
9762110314506
10241410981372
1193422229450
123a954071050
13199c37c6652
14b981c1cc68
15642dc6e9ec
hex3835373dfc

241410981372 has 96 divisors (see below), whose sum is σ = 640252698624. Its totient is φ = 70133246400.

The previous prime is 241410981359. The next prime is 241410981433. The reversal of 241410981372 is 273189014142.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162163 + ... + 713525.

It is an arithmetic number, because the mean of its divisors is an integer number (6669298944).

Almost surely, 2241410981372 is an apocalyptic number.

241410981372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241410981372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320126349312).

241410981372 is an abundant number, since it is smaller than the sum of its proper divisors (398841717252).

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

241410981372 is a wasteful number, since it uses less digits than its factorization.

241410981372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551519 (or 551517 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 241410981372 in words is "two hundred forty-one billion, four hundred ten million, nine hundred eighty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 107 124 132 186 214 321 341 372 428 642 682 1023 1177 1284 1364 2046 2354 3317 3531 4092 4708 6634 7062 9951 13268 14124 19902 36487 39804 72974 109461 145948 218922 437844 551363 1102726 1654089 2205452 3308178 6064993 6616356 12129986 17092253 18194979 24259972 34184506 36389958 51276759 58995841 68369012 72779916 102553518 117991682 176987523 188014783 205107036 235983364 353975046 376029566 564044349 648954251 707950092 752059132 1128088698 1297908502 1828871071 1946862753 2256177396 2595817004 3657742142 3893725506 5486613213 7315484284 7787451012 10973226426 20117581781 21946452852 40235163562 60352745343 80470327124 120705490686 241410981372