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130318429413888 = 2932199731415957
BaseRepresentation
bin11101101000011000011111…
…101100010110001000000000
3122002102022122102010112122200
4131220120133230112020000
5114040114120412221023
61141055243205233200
736310124111105562
oct3550303754261000
9562368572115580
10130318429413888
11385838100119a1
1212748702402800
135793c8a583c11
142427634b8b332
15100ed34b84743
hex76861fb16200

130318429413888 has 120 divisors (see below), whose sum is σ = 376126907378508. Its totient is φ = 43437270884352.

The previous prime is 130318429413871. The next prime is 130318429413911. The reversal of 130318429413888 is 888314924813031.

130318429413888 is a `hidden beast` number, since 1 + 30 + 3 + 184 + 2 + 9 + 41 + 388 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130035524569344 + 282904844544 = 11403312^2 + 531888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91327606 + ... + 92743562.

Almost surely, 2130318429413888 is an apocalyptic number.

130318429413888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130318429413888 is an abundant number, since it is smaller than the sum of its proper divisors (245808477964620).

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

130318429413888 is a wasteful number, since it uses less digits than its factorization.

130318429413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435954 (or 1435935 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 130318429413888 in words is "one hundred thirty trillion, three hundred eighteen billion, four hundred twenty-nine million, four hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 19973 39946 59919 79892 119838 159784 179757 239676 319568 359514 479352 639136 719028 958704 1278272 1415957 1438056 1917408 2556544 2831914 2876112 3834816 4247871 5113088 5663828 5752224 7669632 8495742 10226176 11327656 11504448 12743613 15339264 16991484 22655312 23008896 25487226 30678528 33982968 45310624 46017792 50974452 67965936 90621248 92035584 101948904 135931872 181242496 203897808 271863744 362484992 407795616 543727488 724969984 815591232 1087454976 1631182464 2174909952 3262364928 6524729856 28280909161 56561818322 84842727483 113123636644 169685454966 226247273288 254528182449 339370909932 452494546576 509056364898 678741819864 904989093152 1018112729796 1357483639728 1809978186304 2036225459592 2714967279456 3619956372608 4072450919184 5429934558912 7239912745216 8144901838368 10859869117824 14479825490432 16289803676736 21719738235648 32579607353472 43439476471296 65159214706944 130318429413888