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455131314441400 = 235229711105224173
BaseRepresentation
bin110011101111100001000010…
…0010100101100110010111000
32012200111010110211211021221111
41213133002010110230302320
5434123332412444111100
64251552234525050104
7164603103153431632
oct14737020424546270
92180433424737844
10455131314441400
11122023119831683
12430675b83b6934
13166c591132ca8c
14805668a4a3a52
1537940239176ba
hex19df08452ccb8

455131314441400 has 96 divisors (see below), whose sum is σ = 1110087160365600. Its totient is φ = 173299150169600.

The previous prime is 455131314441299. The next prime is 455131314441409. The reversal of 455131314441400 is 4144413131554.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455131314441409) 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 23 ways as a sum of consecutive naturals, for example, 552200287 + ... + 553023886.

It is an arithmetic number, because the mean of its divisors is an integer number (11563407920475).

Almost surely, 2455131314441400 is an apocalyptic number.

455131314441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455131314441400 is an abundant number, since it is smaller than the sum of its proper divisors (654955845924200).

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

455131314441400 is a wasteful number, since it uses less digits than its factorization.

455131314441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105224289 (or 1105224280 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 455131314441400 its reverse (4144413131554), we get a palindrome (459275727572954).

The spelling of 455131314441400 in words is "four hundred fifty-five trillion, one hundred thirty-one billion, three hundred fourteen million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 71 100 116 142 145 200 232 284 290 355 568 580 710 725 1160 1420 1450 1775 2059 2840 2900 3550 4118 5800 7100 8236 10295 14200 16472 20590 41180 51475 82360 102950 205900 411800 1105224173 2210448346 4420896692 5526120865 8841793384 11052241730 22104483460 27630604325 32051501017 44208966920 55261208650 64103002034 78470916283 110522417300 128206004068 156941832566 160257505085 221044834600 256412008136 313883665132 320515010170 392354581415 627767330264 641030020340 784709162830 801287525425 1282060040680 1569418325660 1602575050850 1961772907075 2275656572207 3138836651320 3205150101700 3923545814150 4551313144414 6410300203400 7847091628300 9102626288828 11378282861035 15694183256600 18205252577656 22756565722070 45513131444140 56891414305175 91026262888280 113782828610350 227565657220700 455131314441400