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241416145264360 = 235114433797326189
BaseRepresentation
bin110110111001000100010011…
…100101001101111011101000
31011122210011021020201021101211
4312321010103211031323220
5223120330231141424420
62213241013541322504
7101564512063456063
oct6671042345157350
91148704236637354
10241416145264360
116aa170153287a0
12230b0096706434
13a4925a2347c71
144388864a918da
151cd9bc4557e5a
hexdb911394dee8

241416145264360 has 128 divisors (see below), whose sum is σ = 594062760182400. Its totient is φ = 87566186306560.

The previous prime is 241416145264277. The next prime is 241416145264387. The reversal of 241416145264360 is 63462541614142.

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, 739948146 + ... + 740274334.

It is an arithmetic number, because the mean of its divisors is an integer number (4641115313925).

Almost surely, 2241416145264360 is an apocalyptic number.

241416145264360 is a gapful number since it is divisible by the number (20) 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 241416145264360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297031380091200).

241416145264360 is an abundant number, since it is smaller than the sum of its proper divisors (352646614918040).

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

241416145264360 is a wasteful number, since it uses less digits than its factorization.

241416145264360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330451 (or 330447 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 241416145264360 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-five million, two hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 443 886 1772 2215 3544 3797 4430 4873 7594 8860 9746 15188 17720 18985 19492 24365 30376 37970 38984 41767 48730 75940 83534 97460 151880 167068 194920 208835 326189 334136 417670 652378 835340 1304756 1630945 1670680 1682071 2609512 3261890 3364142 3588079 6523780 6728284 7176158 8410355 13047560 13456568 14352316 16820710 17940395 18502781 28704632 33641420 35880790 37005562 67282840 71761580 74011124 92513905 143523160 144501727 148022248 185027810 289003454 370055620 578006908 722508635 740111240 1156013816 1238539633 1445017270 1589518997 2477079266 2890034540 3179037994 4954158532 5780069080 6192698165 6358075988 7947594985 9908317064 12385396330 12716151976 13623935963 15895189970 24770792660 27247871926 31790379940 49541585320 54495743852 63580759880 68119679815 108991487704 136239359630 272478719260 544957438520 548673057419 1097346114838 2194692229676 2743365287095 4389384459352 5486730574190 6035403631609 10973461148380 12070807263218 21946922296760 24141614526436 30177018158045 48283229052872 60354036316090 120708072632180 241416145264360