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139136460100 = 225211233912
BaseRepresentation
bin1000000110010100101…
…1011110010101000100
3111022010122210111200221
42001211023132111010
54234422413210400
6143530213114124
713023634253161
oct2014513362504
9438118714627
10139136460100
11540099a4900
1222b70628944
13101749c2b41
146a3ca83068
153944ee7c1a
hex20652de544

139136460100 has 81 divisors (see below), whose sum is σ = 331967101053. Its totient is φ = 50580156000.

The previous prime is 139136460097. The next prime is 139136460131. The reversal of 139136460100 is 1064631931.

It is a happy number.

The square root of 139136460100 is 373010.

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., 50089125636 + 89047334464 = 223806^2 + 298408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41029405 + ... + 41032795.

Almost surely, 2139136460100 is an apocalyptic number.

139136460100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139136460100 is the 373010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139136460100

139136460100 is an abundant number, since it is smaller than the sum of its proper divisors (192830640953).

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

139136460100 is an equidigital number, since it uses as much as digits as its factorization.

139136460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 139136460100 in words is "one hundred thirty-nine billion, one hundred thirty-six million, four hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3391 6050 6782 12100 13564 16955 33910 37301 67820 74602 84775 149204 169550 186505 339100 373010 410311 746020 820622 932525 1641244 1865050 2051555 3730100 4103110 8206220 10257775 11498881 20515550 22997762 41031100 45995524 57494405 114988810 126487691 229977620 252975382 287472025 505950764 574944050 632438455 1149888100 1264876910 1391364601 2529753820 2782729202 3162192275 5565458404 6324384550 6956823005 12648769100 13913646010 27827292020 34784115025 69568230050 139136460100