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138224086224 = 24372213185893
BaseRepresentation
bin1000000010111011001…
…1000010110011010000
3111012210002000010000220
42000232303002303100
54231040331224344
6143255501513040
712662215230060
oct2005663026320
9435702003026
10138224086224
1153690990904
1222956b72780
131005a986243
1469938253a0
1538ded74c19
hex202ecc2cd0

138224086224 has 80 divisors (see below), whose sum is σ = 408276761472. Its totient is φ = 39474537984.

The previous prime is 138224086207. The next prime is 138224086243. The reversal of 138224086224 is 422680422831.

It is a Cunningham number, because it is equal to 3717852-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 650622 + ... + 836514.

Almost surely, 2138224086224 is an apocalyptic number.

138224086224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138224086224 is an abundant number, since it is smaller than the sum of its proper divisors (270052675248).

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

138224086224 is a wasteful number, since it uses less digits than its factorization.

138224086224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188124 (or 188118 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 138224086224 in words is "one hundred thirty-eight billion, two hundred twenty-four million, eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2213 4426 6639 8852 13278 15491 17704 26556 30982 35408 46473 53112 61964 92946 106224 123928 185892 185893 247856 371784 371786 557679 743568 743572 1115358 1301251 1487144 2230716 2602502 2974288 3903753 4461432 5205004 7807506 8922864 10410008 15615012 20820016 31230024 62460048 411381209 822762418 1234143627 1645524836 2468287254 2879668463 3291049672 4936574508 5759336926 6582099344 8639005389 9873149016 11518673852 17278010778 19746298032 23037347704 34556021556 46074695408 69112043112 138224086224