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131525215552240 = 24541223401448421
BaseRepresentation
bin11101111001111100011001…
…110000001000001011110000
3122020200200120102011012101121
4131321330121300020023300
5114214402120140132430
61143421503324312024
736463245311041546
oct3571743160101360
9566620512135347
10131525215552240
11389a9592362194
12129025746a2614
135850a0ba760b3
142469bd6681d96
1510314154e2a7a
hex779f19c082f0

131525215552240 has 160 divisors (see below), whose sum is σ = 315444687247872. Its totient is φ = 50969210880000.

The previous prime is 131525215552219. The next prime is 131525215552243. The reversal of 131525215552240 is 42255512525131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131525215552243) 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 31 ways as a sum of consecutive naturals, for example, 293083230 + ... + 293531650.

Almost surely, 2131525215552240 is an apocalyptic number.

131525215552240 is a gapful number since it is divisible by the number (10) 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 131525215552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157722343623936).

131525215552240 is an abundant number, since it is smaller than the sum of its proper divisors (183919471695632).

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

131525215552240 is a wasteful number, since it uses less digits than its factorization.

131525215552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449099 (or 449093 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 43.

The spelling of 131525215552240 in words is "one hundred thirty-one trillion, five hundred twenty-five billion, two hundred fifteen million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 223 328 401 410 446 656 802 820 892 1115 1604 1640 1784 2005 2230 3208 3280 3568 4010 4460 6416 8020 8920 9143 16040 16441 17840 18286 32080 32882 36572 45715 65764 73144 82205 89423 91430 131528 146288 164410 178846 182860 263056 328820 357692 365720 447115 448421 657640 715384 731440 894230 896842 1315280 1430768 1788460 1793684 2242105 3576920 3587368 3666343 4484210 7153840 7174736 7332686 8968420 14665372 17936840 18331715 18385261 29330744 35873680 36663430 36770522 58661488 73326860 73541044 91926305 99997883 146653720 147082088 179816821 183852610 199995766 293307440 294164176 359633642 367705220 399991532 499989415 719267284 735410440 799983064 899084105 999978830 1438534568 1470820880 1599966128 1798168210 1999957660 2877069136 3596336420 3999915320 4099913203 7192672840 7372489661 7999830640 8199826406 14385345680 14744979322 16399652812 20499566015 29489958644 32799305624 36862448305 40099151083 40999132030 58979917288 65598611248 73724896610 80198302166 81998264060 117959834576 147449793220 160396604332 163996528120 200495755415 294899586440 320793208664 327993056240 400991510830 589799172880 641586417328 801983021660 1603966043320 1644065194403 3207932086640 3288130388806 6576260777612 8220325972015 13152521555224 16440651944030 26305043110448 32881303888060 65762607776120 131525215552240