Search a number
-
+
138366346944 = 2637234476137
BaseRepresentation
bin1000000011011101000…
…1101110011011000000
3111020010222200201001110
42000313101232123000
54231333241100234
6143321543003320
712665563354260
oct2006721563300
9436128621043
10138366346944
1153754217451
1222996739540
13100812a5597
1469a86977a0
1538ec5c61e9
hex203746e6c0

138366346944 has 112 divisors (see below), whose sum is σ = 436584595968. Its totient is φ = 37814396928.

The previous prime is 138366346933. The next prime is 138366346961. The reversal of 138366346944 is 449643663831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2207157 + ... + 2268980.

Almost surely, 2138366346944 is an apocalyptic number.

138366346944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138366346944 is an abundant number, since it is smaller than the sum of its proper divisors (298218249024).

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

138366346944 is a wasteful number, since it uses less digits than its factorization.

138366346944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476182 (or 4476172 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 57.

The spelling of 138366346944 in words is "one hundred thirty-eight billion, three hundred sixty-six million, three hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 4476137 8952274 13428411 17904548 26856822 31332959 35809096 53713644 62665918 71618192 93998877 102951151 107427288 125331836 143236384 187997754 205902302 214854576 250663672 286472768 308853453 375995508 411804604 429709152 501327344 617706906 720658057 751991016 823609208 859418304 1002654688 1235413812 1441316114 1503982032 1647218416 2005309376 2161974171 2470827624 2882632228 3007964064 3294436832 4323948342 4941655248 5765264456 6015928128 6588873664 8647896684 9883310496 11530528912 17295793368 19766620992 23061057824 34591586736 46122115648 69183173472 138366346944