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138494133904 = 2472132912
BaseRepresentation
bin1000000011111011100…
…1001100011010010000
3111020110220010221210211
42000332321030122100
54232113444241104
6143342345533504
713002004500100
oct2007671143220
9436426127724
10138494133904
115380a367705
1222a114a4294
13100a18c7979
1469bb63d200
153908918e04
hex203ee4c690

138494133904 has 45 divisors (see below), whose sum is σ = 312165240291. Its totient is φ = 59350163040.

The previous prime is 138494133901. The next prime is 138494133929. The reversal of 138494133904 is 409331494831.

The square root of 138494133904 is 372148.

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

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138494133901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10413499 + ... + 10426789.

Almost surely, 2138494133904 is an apocalyptic number.

138494133904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138494133904 is the 372148-th square number.

It is an amenable number.

138494133904 is an abundant number, since it is smaller than the sum of its proper divisors (173671106387).

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

138494133904 is an frugal number, since it uses more digits than its factorization.

138494133904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26604 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 138494133904 by its sum of digits (49), we get a square (6786212561296 = 26050362).

138494133904 divided by its sum of digits (49) gives a square (2826410896 = 531642).

The spelling of 138494133904 in words is "one hundred thirty-eight billion, four hundred ninety-four million, one hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 13291 26582 53164 93037 106328 186074 212656 372148 651259 744296 1302518 1488592 2605036 5210072 10420144 176650681 353301362 706602724 1236554767 1413205448 2473109534 2826410896 4946219068 8655883369 9892438136 17311766738 19784876272 34623533476 69247066952 138494133904