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138888455440 = 24574347122719
BaseRepresentation
bin1000000101011001100…
…1011010010100010000
3111021111101010120021011
42001112121122110100
54233420421033230
6143445433340304
713014533251420
oct2012631322420
9437441116234
10138888455440
11539a1a04279
1222b01567694
13101354cb717
146a17b66480
15392d359e2a
hex205665a510

138888455440 has 160 divisors (see below), whose sum is σ = 385666744320. Its totient is φ = 45521505792.

The previous prime is 138888455401. The next prime is 138888455441. The reversal of 138888455440 is 44554888831.

It is not an unprimeable number, because it can be changed into a prime (138888455441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070401 + ... + 1193119.

It is an arithmetic number, because the mean of its divisors is an integer number (2410417152).

Almost surely, 2138888455440 is an apocalyptic number.

138888455440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138888455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192833372160).

138888455440 is an abundant number, since it is smaller than the sum of its proper divisors (246778288880).

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

138888455440 is a wasteful number, since it uses less digits than its factorization.

138888455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122829 (or 122823 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 58.

The spelling of 138888455440 in words is "one hundred thirty-eight billion, eight hundred eighty-eight million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 47 56 70 80 86 94 112 140 172 188 215 235 280 301 329 344 376 430 470 560 602 658 688 752 860 940 1204 1316 1505 1645 1720 1880 2021 2408 2632 3010 3290 3440 3760 4042 4816 5264 6020 6580 8084 10105 12040 13160 14147 16168 20210 24080 26320 28294 32336 40420 56588 70735 80840 113176 122719 141470 161680 226352 245438 282940 490876 565880 613595 859033 981752 1131760 1227190 1718066 1963504 2454380 3436132 4295165 4908760 5276917 5767793 6872264 8590330 9817520 10553834 11535586 13744528 17180660 21107668 23071172 26384585 28838965 34361320 36938419 40374551 42215336 46142344 52769170 57677930 68722640 73876838 80749102 84430672 92284688 105538340 115355860 147753676 161498204 184692095 201872755 211076680 230711720 248015099 295507352 322996408 369384190 403745510 422153360 461423440 496030198 591014704 645992816 738768380 807491020 992060396 1240075495 1477536760 1614982040 1736105693 1984120792 2480150990 2955073520 3229964080 3472211386 3968241584 4960301980 6944422772 8680528465 9920603960 13888845544 17361056930 19841207920 27777691088 34722113860 69444227720 138888455440