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41144733744114 = 237111337185151487
BaseRepresentation
bin10010101101011110000010…
…01111010011101111110010
312101200101202020102102200210
421112233001033103233302
520343103403314302424
6223301344005124550
711444415600241230
oct1126570117235762
9171611666372623
1041144733744114
1112123424615120
1247461600b9756
1319c5c1606c2c0
14a235b6b03950
154b5407a65729
hex256bc13d3bf2

41144733744114 has 128 divisors (see below), whose sum is σ = 113472681541632. Its totient is φ = 9598253034240.

The previous prime is 41144733744097. The next prime is 41144733744209.

41144733744114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×411447337441142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92353522 + ... + 92797965.

It is an arithmetic number, because the mean of its divisors is an integer number (886505324544).

Almost surely, 241144733744114 is an apocalyptic number.

41144733744114 is an abundant number, since it is smaller than the sum of its proper divisors (72327947797518).

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

41144733744114 is a wasteful number, since it uses less digits than its factorization.

41144733744114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185151560.

The product of its digits is 1806336, while the sum is 48.

It can be divided in two parts, 4114473 and 3744114, that added together give a palindrome (7858587).

The spelling of 41144733744114 in words is "forty-one trillion, one hundred forty-four billion, seven hundred thirty-three million, seven hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 185151487 370302974 555454461 1110908922 1296060409 2036666357 2406969331 2592120818 3888181227 4073332714 4813938662 6109999071 6850605019 7220907993 7776362454 12219998142 13701210038 14256664499 14441815986 16848785317 20551815057 26476662641 28513328998 33697570634 41103630114 42769993497 47954235133 50546355951 52953325282 75356655209 79429987923 85539986994 89057865247 95908470266 101092711902 143862705399 150713310418 158859975846 178115730494 185336638487 226069965627 267173595741 287725410798 370673276974 452139931254 527496586463 534347191482 556009915461 623405056729 979636517717 1054993172926 1112019830922 1246810113458 1582489759389 1870215170187 1959273035434 2938909553151 3164979518778 3740430340374 5877819106302 6857455624019 13714911248038 20572366872057 41144733744114