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139292421961 = 721123721312
BaseRepresentation
bin1000000110111001111…
…0011010111101001001
3111022112112021012011011
42001232132122331021
54240232330000321
6143553504003521
713030540023400
oct2015636327511
9438475235134
10139292421961
1154089a39300
1222bb49005a1
131019b0cb574
146a55680637
153953a53ae1
hex206e79af49

139292421961 has 81 divisors (see below), whose sum is σ = 184455213831. Its totient is φ = 104799895200.

The previous prime is 139292421949. The next prime is 139292421979. The reversal of 139292421961 is 169124292931.

It is a happy number.

The square root of 139292421961 is 373219.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 124640772025 + 14651649936 = 353045^2 + 121044^2 .

It is not a de Polignac number, because 139292421961 - 27 = 139292421833 is a prime.

It is a super-2 number, since 2×1392924219612 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (139292421941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1063300866 + ... + 1063300996.

Almost surely, 2139292421961 is an apocalyptic number.

139292421961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

139292421961 is the 373219-th square number.

139292421961 is the 186610-th centered octagonal number.

It is an amenable number.

139292421961 is a deficient number, since it is larger than the sum of its proper divisors (45162791870).

139292421961 is an equidigital number, since it uses as much as digits as its factorization.

139292421961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

Multiplying 139292421961 by its sum of digits (49), we get a square (6825328676089 = 26125332).

139292421961 divided by its sum of digits (49) gives a square (2842702489 = 533172).

The spelling of 139292421961 in words is "one hundred thirty-nine billion, two hundred ninety-two million, four hundred twenty-one thousand, nine hundred sixty-one".

Divisors: 1 7 11 37 49 77 121 131 259 407 539 847 917 1369 1441 1813 2849 4477 4847 5929 6419 9583 10087 15059 15851 17161 19943 31339 33929 53317 67081 70609 105413 110957 120127 165649 179339 188771 219373 237503 373219 586487 634957 737891 776699 840889 1159543 1255373 1321397 1972729 2076481 2612533 4105409 4444699 6984527 8116801 8787611 9249779 13809103 14535367 21700019 23493409 28737863 31112893 48891689 76829797 96663721 101747569 151900133 164453863 258427499 342241823 537808579 1063300931 1151177041 1808992493 2842702489 3764660053 12662947451 19898917423 139292421961