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1312124040504 = 233253357196289
BaseRepresentation
bin10011000110000000101…
…011111111010100111000
311122102211011212112011100
4103012000223333110320
5132444212223244004
62442440443531400
7163540441215264
oct23060053772470
94572734775140
101312124040504
114665178a5282
1219236b829b60
139696ab6bcc4
14477158550a4
15241e84e8739
hex13180aff538

1312124040504 has 96 divisors (see below), whose sum is σ = 3621771176400. Its totient is φ = 428997703680.

The previous prime is 1312124040499. The next prime is 1312124040509. The reversal of 1312124040504 is 4050404212131.

1312124040504 is a `hidden beast` number, since 1 + 3 + 1 + 212 + 40 + 405 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1312124040499) and next prime (1312124040509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312124040509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13578792 + ... + 13675080.

Almost surely, 21312124040504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312124040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810885588200).

1312124040504 is an abundant number, since it is smaller than the sum of its proper divisors (2309647135896).

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

1312124040504 is a wasteful number, since it uses less digits than its factorization.

1312124040504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99925 (or 99918 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1312124040504 its reverse (4050404212131), we get a palindrome (5362528252635).

It can be divided in two parts, 131212 and 4040504, that added together give a triangular number (4171716 = T2888).

The spelling of 1312124040504 in words is "one trillion, three hundred twelve billion, one hundred twenty-four million, forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3571 3816 7142 10713 14284 21426 28568 32139 42852 64278 85704 96289 128556 189263 192578 257112 288867 378526 385156 567789 577734 757052 770312 866601 1135578 1155468 1514104 1703367 1733202 2271156 2310936 3406734 3466404 4542312 5103317 6813468 6932808 10206634 13626936 15309951 20413268 30619902 40826536 45929853 61239804 91859706 122479608 183719412 343848019 367438824 687696038 1031544057 1375392076 2063088114 2750784152 3094632171 4126176228 6189264342 8252352456 12378528684 18223945007 24757057368 36447890014 54671835021 72895780028 109343670042 145791560056 164015505063 218687340084 328031010126 437374680168 656062020252 1312124040504