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241416207513052 = 22111321031093288383
BaseRepresentation
bin110110111001000100010111…
…010010101011010111011100
31011122210011102120211211112221
4312321010113102223113130
5223120330343110404202
62213241024043435124
7101564513450540125
oct6671042722532734
91148704376754487
10241416207513052
116aa170474850a0
12230b00b3525aa4
13a4925b2201600
14438886d05704c
151cd9bc9c52037
hexdb91174ab5dc

241416207513052 has 144 divisors (see below), whose sum is σ = 504373427970048. Its totient is φ = 100217958946560.

The previous prime is 241416207513037. The next prime is 241416207513053. The reversal of 241416207513052 is 250315702614142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241416207513053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836993253 + ... + 837281635.

It is an arithmetic number, because the mean of its divisors is an integer number (3502593249792).

Almost surely, 2241416207513052 is an apocalyptic number.

241416207513052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

241416207513052 is an abundant number, since it is smaller than the sum of its proper divisors (262957220456996).

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

241416207513052 is a wasteful number, since it uses less digits than its factorization.

241416207513052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289620 (or 289605 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 241416207513052 in words is "two hundred forty-one trillion, four hundred sixteen billion, two hundred seven million, five hundred thirteen thousand, fifty-two".

Divisors: 1 2 4 11 13 22 26 44 52 103 143 169 206 286 338 412 572 676 1093 1133 1339 1859 2186 2266 2678 3718 4372 4532 5356 7436 12023 14209 14729 17407 24046 28418 29458 34814 48092 56836 58916 69628 112579 156299 184717 191477 225158 288383 312598 369434 382954 450316 576766 625196 738868 765908 1153532 1238369 1463527 2031887 2476738 2927054 3172213 3748979 4063774 4953476 5854108 6344426 7497958 8127548 12688852 14995916 16098797 19025851 29703449 32197594 38051702 41238769 48736727 59406898 64395188 76103404 82477538 97473454 118813796 164955076 194946908 209284361 315202619 326737939 386144837 418568722 536103997 630405238 653475878 772289674 837137444 1072207994 1260810476 1306951756 1544579348 2144415988 3467228809 4097634047 4247593207 5019882881 6934457618 8195268094 8495186414 10039765762 13868915236 16390536188 16990372828 20079531524 32465869757 45073974517 53269242611 55218711691 64931739514 90147949034 106538485222 110437423382 129863479028 180295898068 213076970444 220874846764 357124567327 422056306841 585961668721 714249134654 844112613682 1171923337442 1428498269308 1688225227364 2343846674884 4642619375251 5486731988933 9285238750502 10973463977866 18570477501004 21946927955732 60354051878263 120708103756526 241416207513052