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57444010540400 = 24521122957010729
BaseRepresentation
bin11010000111110101110011…
…10101111011110101110000
321112101121000212021201011202
431003322321311323311300
530012130313144243100
6322101225241430332
715046123063126631
oct1503727165736560
9245347025251152
1057444010540400
111733796042a170
12653904aa9b3a8
132608c405b1403
14102843aaa9888
156993b58977d5
hex343eb9d7bd70

57444010540400 has 120 divisors (see below), whose sum is σ = 151212979822800. Its totient is φ = 20797513574400.

The previous prime is 57444010540393. The next prime is 57444010540463. The reversal of 57444010540400 is 404501044475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27497765 + ... + 29512964.

It is an arithmetic number, because the mean of its divisors is an integer number (1260108165190).

Almost surely, 257444010540400 is an apocalyptic number.

57444010540400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57444010540400 is an abundant number, since it is smaller than the sum of its proper divisors (93768969282400).

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

57444010540400 is a wasteful number, since it uses less digits than its factorization.

57444010540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57010987 (or 57010976 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 38.

Adding to 57444010540400 its reverse (404501044475), we get a palindrome (57848511584875).

The spelling of 57444010540400 in words is "fifty-seven trillion, four hundred forty-four billion, ten million, five hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 229 275 400 440 458 550 880 916 1100 1145 1832 2200 2290 2519 3664 4400 4580 5038 5725 9160 10076 11450 12595 18320 20152 22900 25190 40304 45800 50380 62975 91600 100760 125950 201520 251900 503800 1007600 57010729 114021458 228042916 285053645 456085832 570107290 627118019 912171664 1140214580 1254236038 1425268225 2280429160 2508472076 2850536450 3135590095 4560858320 5016944152 5701072900 6271180190 10033888304 11402145800 12542360380 13055456941 15677950475 22804291600 25084720760 26110913882 31355900950 50169441520 52221827764 62711801900 65277284705 104443655528 125423603800 130554569410 143610026351 208887311056 250847207600 261109138820 287220052702 326386423525 522218277640 574440105404 652772847050 718050131755 1044436555280 1148880210808 1305545694100 1436100263510 2297760421616 2611091388200 2872200527020 3590250658775 5222182776400 5744401054040 7180501317550 11488802108080 14361002635100 28722005270200 57444010540400