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139149142729 = 1922926772
BaseRepresentation
bin1000000110010111101…
…1110110101011001001
3111022011112122211222221
42001211323312223021
54234434140031404
6143531345014041
713024150124602
oct2014573665311
9438145584887
10139149142729
1154016077513
1222b74924321
131017751375c
146a40624da9
1539461a0954
hex2065ef6ac9

139149142729 has 27 divisors (see below), whose sum is σ = 152321931957. Its totient is φ = 127091791008.

The previous prime is 139149142711. The next prime is 139149142789. The reversal of 139149142729 is 927241941931.

The square root of 139149142729 is 373027.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62282689225 + 76866453504 = 249565^2 + 277248^2 .

It is not a de Polignac number, because 139149142729 - 25 = 139149142697 is a prime.

It is a super-2 number, since 2×1391491427292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139149142789) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205537539 + ... + 205538215.

Almost surely, 2139149142729 is an apocalyptic number.

139149142729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

139149142729 is the 373027-th square number.

139149142729 is the 186514-th centered octagonal number.

It is an amenable number.

139149142729 is a deficient number, since it is larger than the sum of its proper divisors (13172789228).

139149142729 is an frugal number, since it uses more digits than its factorization.

139149142729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The spelling of 139149142729 in words is "one hundred thirty-nine billion, one hundred forty-nine million, one hundred forty-two thousand, seven hundred twenty-nine".

Divisors: 1 19 29 361 551 677 841 10469 12863 15979 19633 244397 303601 373027 458329 569357 7087513 8708251 10817783 13291541 165456769 205537877 252539279 385454689 4798246301 7323639091 139149142729