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131402314032 = 24311534695623
BaseRepresentation
bin111101001100000110…
…0000011000100110000
3110120011122122011211120
41322120030003010300
54123102443022112
6140210531342240
712331162145313
oct1723014030460
9416148564746
10131402314032
11508001a9450
1221572451980
13c511583652
14650782097a
153641013e8c
hex1e98303130

131402314032 has 80 divisors (see below), whose sum is σ = 377302779648. Its totient is φ = 39067575040.

The previous prime is 131402314031. The next prime is 131402314037. The reversal of 131402314032 is 230413204131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131402313993 and 131402314011.

It is not an unprimeable number, because it can be changed into a prime (131402314031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319828 + ... + 2375795.

Almost surely, 2131402314032 is an apocalyptic number.

131402314032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131402314032 is an abundant number, since it is smaller than the sum of its proper divisors (245900465616).

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

131402314032 is a wasteful number, since it uses less digits than its factorization.

131402314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695698 (or 4695692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131402314032 its reverse (230413204131), we get a palindrome (361815518163).

The spelling of 131402314032 in words is "one hundred thirty-one billion, four hundred two million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 27984 4695623 9391246 14086869 18782492 28173738 37564984 51651853 56347476 75129968 103303706 112694952 154955559 206607412 225389904 248868019 309911118 413214824 497736038 619822236 746604057 826429648 995472076 1239644472 1493208114 1990944152 2479288944 2737548209 2986416228 3981888304 5475096418 5972832456 8212644627 10950192836 11945664912 16425289254 21900385672 32850578508 43800771344 65701157016 131402314032