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131352414225432 = 233173714461601697
BaseRepresentation
bin11101110111011011011101…
…111111011000010000011000
3122020002011112120222021022120
4131313123131333120100120
5114204034221020203212
61143210244400221240
736444620163021051
oct3567333577302030
9566064476867276
10131352414225432
11389422785307a4
1212894b8990a820
13583a630648baa
1424616c295b728
15102bb9ec9988c
hex7776ddfd8418

131352414225432 has 128 divisors (see below), whose sum is σ = 357120085775040. Its totient is φ = 40092015329280.

The previous prime is 131352414225421. The next prime is 131352414225433. The reversal of 131352414225432 is 234522414253131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352414225433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218002408 + ... + 218604104.

Almost surely, 2131352414225432 is an apocalyptic number.

131352414225432 is a gapful number since it is divisible by the number (12) 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 131352414225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560042887520).

131352414225432 is an abundant number, since it is smaller than the sum of its proper divisors (225767671549608).

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

131352414225432 is a wasteful number, since it uses less digits than its factorization.

131352414225432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616221 (or 616217 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

Adding to 131352414225432 its reverse (234522414253131), we get a palindrome (365874828478563).

The spelling of 131352414225432 in words is "one hundred thirty-one trillion, three hundred fifty-two billion, four hundred fourteen million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 3774 5032 7548 14461 15096 28922 43383 57844 86766 115688 173532 245837 347064 491674 535057 601697 737511 983348 1070114 1203394 1475022 1605171 1805091 1966696 2140228 2406788 2950044 3210342 3610182 4280456 4813576 5900088 6420684 7220364 9095969 10228849 12841368 14440728 18191938 20457698 22262789 27287907 30686547 36383876 40915396 44525578 54575814 61373094 66788367 72767752 81830792 89051156 109151628 122746188 133576734 178102312 218303256 245492376 267153468 378467413 534306936 756934826 1135402239 1513869652 2270804478 3027739304 4541608956 8701140317 9083217912 17402280634 26103420951 34804561268 52206841902 69609122536 104413683804 147919385389 208827367608 295838770778 321942191729 443758156167 591677541556 643884383458 887516312334 965826575187 1183355083112 1287768766916 1775032624668 1931653150374 2575537533832 3550065249336 3863306300748 5473017259393 7726612601496 10946034518786 16419051778179 21892069037572 32838103556358 43784138075144 65676207112716 131352414225432