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138148834304 = 2101329335419
BaseRepresentation
bin1000000010101001001…
…1111110110000000000
3111012120211101220210202
42000222103332300000
54230412100144204
6143244212544332
712660312500525
oct2005223766000
9435524356722
10138148834304
1153652462a38
12229359220a8
13100481c9090
14698783714c
1538d845ce1e
hex202a4fec00

138148834304 has 88 divisors (see below), whose sum is σ = 298429509840. Its totient is φ = 63541592064.

The previous prime is 138148834273. The next prime is 138148834333. The reversal of 138148834304 is 403438841831.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3882707 + ... + 3918125.

It is an arithmetic number, because the mean of its divisors is an integer number (3391244430).

Almost surely, 2138148834304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138148834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149214754920).

138148834304 is an abundant number, since it is smaller than the sum of its proper divisors (160280675536).

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

138148834304 is a wasteful number, since it uses less digits than its factorization.

138148834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35745 (or 35727 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 138148834304 in words is "one hundred thirty-eight billion, one hundred forty-eight million, eight hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 293 416 512 586 832 1024 1172 1664 2344 3328 3809 4688 6656 7618 9376 13312 15236 18752 30472 35419 37504 60944 70838 75008 121888 141676 150016 243776 283352 300032 460447 487552 566704 920894 975104 1133408 1841788 1950208 2266816 3683576 3900416 4533632 7367152 9067264 10377767 14734304 18134528 20755534 29468608 36269056 41511068 58937216 83022136 117874432 134910971 166044272 235748864 269821942 332088544 471497728 539643884 664177088 1079287768 1328354176 2158575536 2656708352 4317151072 5313416704 8634302144 10626833408 17268604288 34537208576 69074417152 138148834304