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138660466240 = 2653171366921
BaseRepresentation
bin1000000100100011001…
…1101100111001000000
3111020220111010111212201
42001020303230321000
54232434034404430
6143411051002544
713006064342032
oct2011063547100
9436814114781
10138660466240
115389524464a
1222a59139454
13100ca1c477a
1469d5779c52
1539183228ca
hex2048cece40

138660466240 has 56 divisors (see below), whose sum is σ = 331227071352. Its totient is φ = 55289180160.

The previous prime is 138660466237. The next prime is 138660466247. The reversal of 138660466240 is 42664066831.

It can be written as a sum of positive squares in 4 ways, for example, as 9934507584 + 128725958656 = 99672^2 + 358784^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138660466247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582021 + ... + 784900.

Almost surely, 2138660466240 is an apocalyptic number.

138660466240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138660466240 is an abundant number, since it is smaller than the sum of its proper divisors (192566605112).

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

138660466240 is a wasteful number, since it uses less digits than its factorization.

138660466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367255 (or 1367245 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 138660466240 in words is "one hundred thirty-eight billion, six hundred sixty million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 10144 12680 20288 25360 50720 101440 1366921 2733842 5467684 6834605 10935368 13669210 21870736 27338420 43741472 54676840 87482944 109353680 218707360 433313957 437414720 866627914 1733255828 2166569785 3466511656 4333139570 6933023312 8666279140 13866046624 17332558280 27732093248 34665116560 69330233120 138660466240