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131412889920 = 26351310529879
BaseRepresentation
bin111101001100011010…
…0011001000101000000
3110120012101112111020010
41322120310121011000
54123113144434140
6140211550144520
712331351063644
oct1723064310500
9416171474203
10131412889920
1150806172254
1221575ab2140
13c513817380
146508db4c24
153641e02880
hex1e98d19140

131412889920 has 112 divisors (see below), whose sum is σ = 449331039360. Its totient is φ = 32347785216.

The previous prime is 131412889841. The next prime is 131412889961. The reversal of 131412889920 is 29988214131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131412889920.

It is a congruent number.

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, 5252460 + ... + 5277419.

It is an arithmetic number, because the mean of its divisors is an integer number (4011884280).

Almost surely, 2131412889920 is an apocalyptic number.

131412889920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412889920 is an abundant number, since it is smaller than the sum of its proper divisors (317918149440).

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

131412889920 is a wasteful number, since it uses less digits than its factorization.

131412889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529912 (or 10529902 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 131412889920 in words is "one hundred thirty-one billion, four hundred twelve million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 10529879 21059758 31589637 42119516 52649395 63179274 84239032 105298790 126358548 136888427 157948185 168478064 210597580 252717096 273776854 315896370 336956128 410665281 421195160 505434192 547553708 631792740 673912256 684442135 821330562 842390320 1010868384 1095107416 1263585480 1368884270 1642661124 1684780640 2021736768 2053326405 2190214832 2527170960 2737768540 3285322248 3369561280 4106652810 4380429664 5054341920 5475537080 6570644496 8213305620 8760859328 10108683840 10951074160 13141288992 16426611240 21902148320 26282577984 32853222480 43804296640 65706444960 131412889920