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41444340702457 = 71121947307178481
BaseRepresentation
bin10010110110001100000110…
…01101001001110011111001
312102202001002100202212122111
421123012003031021303321
520413011002204434312
6224051133422052321
711505153253332550
oct1133060315116371
9172661070685574
1041444340702457
111222949a969400
124794235a1a0a1
131a18252624884
14a33cb9972d97
154bd0e09878a7
hex25b183349cf9

41444340702457 has 96 divisors (see below), whose sum is σ = 56151065456640. Its totient is φ = 29845939622400.

The previous prime is 41444340702433. The next prime is 41444340702487. The reversal of 41444340702457 is 75420704344414.

41444340702457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41444340702457 - 227 = 41444206484729 is a prime.

It is a super-2 number, since 2×414443407024572 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41444340702457.

It is not an unprimeable number, because it can be changed into a prime (41444340702487) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 232116657 + ... + 232295137.

It is an arithmetic number, because the mean of its divisors is an integer number (584906931840).

Almost surely, 241444340702457 is an apocalyptic number.

41444340702457 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

41444340702457 is a deficient number, since it is larger than the sum of its proper divisors (14706724754183).

41444340702457 is a wasteful number, since it uses less digits than its factorization.

41444340702457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178883 (or 178872 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 49.

The spelling of 41444340702457 in words is "forty-one trillion, four hundred forty-four billion, three hundred forty million, seven hundred two thousand, four hundred fifty-seven".

Divisors: 1 7 11 19 47 77 121 133 209 307 329 517 847 893 1463 2149 2299 3377 3619 5687 5833 6251 9823 14429 16093 23639 37147 39809 40831 64163 68761 101003 108053 158719 178481 260029 274151 449141 705793 756371 1111033 1249367 1745909 1919057 1963291 3015661 3391139 4940551 8388607 12221363 13743037 21109627 21596201 23737973 33172271 37302529 54793667 58720249 92274677 151173407 159383533 232205897 261117703 383555669 410327819 602730337 645922739 1015021447 1041079673 1115684731 1753218863 2575302349 2872294733 4219112359 6630033707 7105150129 7287557711 11451876403 12272532041 18027116443 19285407493 28328325839 46410235949 48930744631 80163134821 125970640433 134997852451 198298280873 311611584229 342515212417 538238190941 881794483031 2181281089603 3767667336587 5920620100351 41444340702457