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131413101040432 = 24194159077178469
BaseRepresentation
bin11101111000010011111111…
…001101001101001100110000
3122020021222011221220220010101
4131320103333031031030300
5114211033012331243212
61143254202321242144
736452166102313621
oct3570237715151460
9566258157826111
10131413101040432
1138965a8a672062
12128a48a5793354
135843282479c93
1424645dc715a48
15102d552968157
hex7784ff34d330

131413101040432 has 80 divisors (see below), whose sum is σ = 274556663186400. Its totient is φ = 60728691271680.

The previous prime is 131413101040379. The next prime is 131413101040477. The reversal of 131413101040432 is 234040101314131.

It is a self number, because there is not a number n which added to its sum of digits gives 131413101040432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736246494 + ... + 736424962.

It is an arithmetic number, because the mean of its divisors is an integer number (3431958289830).

Almost surely, 2131413101040432 is an apocalyptic number.

It is an amenable number.

131413101040432 is an abundant number, since it is smaller than the sum of its proper divisors (143143562145968).

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

131413101040432 is a wasteful number, since it uses less digits than its factorization.

131413101040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237614 (or 237608 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131413101040432 its reverse (234040101314131), we get a palindrome (365453202354563).

The spelling of 131413101040432 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464 59077 118154 178469 236308 356938 472616 713876 945232 1122463 1427752 2244926 2422157 2855504 3390911 4489852 4844314 6781822 7317229 8979704 9688628 13563644 14634458 17959408 19377256 27127288 29268916 38754512 46020983 54254576 58537832 92041966 117075664 139027351 184083932 278054702 368167864 556109404 736335728 1112218808 2224437616 10543413113 21086826226 42173652452 84347304904 168694609808 200324849147 400649698294 432279937633 801299396588 864559875266 1602598793176 1729119750532 3205197586352 3458239501064 6916479002128 8213318815027 16426637630054 32853275260108 65706550520216 131413101040432