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1361641872432 = 243107973327239
BaseRepresentation
bin10011110100001000001…
…011100001110000110000
311211011122011102000112110
4103310020023201300300
5134302120304404212
62521310222525320
7200242516643232
oct23641013416060
94734564360473
101361641872432
11485518380316
1219ba8b136840
139b52ca5b27a
1449c92112252
1525645898a3c
hex13d082e1c30

1361641872432 has 80 divisors (see below), whose sum is σ = 3550944510720. Its totient is φ = 449576046336.

The previous prime is 1361641872421. The next prime is 1361641872467. The reversal of 1361641872432 is 2342781461631.

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

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, 49975069 + ... + 50002307.

It is an arithmetic number, because the mean of its divisors is an integer number (44386806384).

Almost surely, 21361641872432 is an apocalyptic number.

1361641872432 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 1361641872432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775472255360).

1361641872432 is an abundant number, since it is smaller than the sum of its proper divisors (2189302638288).

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

1361641872432 is a wasteful number, since it uses less digits than its factorization.

1361641872432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37090 (or 37084 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 1361641872432 in words is "one trillion, three hundred sixty-one billion, six hundred forty-one million, eight hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 9733 19466 27239 29199 38932 54478 58398 77864 81717 108956 116796 155728 163434 217912 233592 326868 435824 467184 653736 1041431 1307472 2082862 2914573 3124293 4165724 5829146 6248586 8331448 8743719 11658292 12497172 16662896 17487438 23316584 24994344 34974876 46633168 49988688 69949752 139899504 265117187 530234374 795351561 1060468748 1590703122 2120937496 3181406244 4241874992 6362812488 12725624976 28367539009 56735078018 85102617027 113470156036 170205234054 226940312072 340410468108 453880624144 680820936216 1361641872432