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138977941440 = 26351311136053
BaseRepresentation
bin1000000101101110111…
…0110001011111000000
3111021201121111220222110
42001123232301133000
54234111323111230
6143502351335320
713020001003512
oct2013356613700
9437647456873
10138977941440
1153a38474448
1222b27521540
131014ac00710
146a259bbbb2
1539361344b0
hex205bbb17c0

138977941440 has 112 divisors (see below), whose sum is σ = 475197696288. Its totient is φ = 34209951744.

The previous prime is 138977941409. The next prime is 138977941489. The reversal of 138977941440 is 44149779831.

It is a happy number.

It is a congruent number.

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, 5555547 + ... + 5580506.

It is an arithmetic number, because the mean of its divisors is an integer number (4242836574).

Almost surely, 2138977941440 is an apocalyptic number.

138977941440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138977941440 is an abundant number, since it is smaller than the sum of its proper divisors (336219754848).

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

138977941440 is a wasteful number, since it uses less digits than its factorization.

138977941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136086 (or 11136076 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 138977941440 in words is "one hundred thirty-eight billion, nine hundred seventy-seven million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 11136053 22272106 33408159 44544212 55680265 66816318 89088424 111360530 133632636 144768689 167040795 178176848 222721060 267265272 289537378 334081590 356353696 434306067 445442120 534530544 579074756 668163180 712707392 723843445 868612134 890884240 1069061088 1158149512 1336326360 1447686890 1737224268 1781768480 2138122176 2171530335 2316299024 2672652720 2895373780 3474448536 3563536960 4343060670 4632598048 5345305440 5790747560 6948897072 8686121340 9265196096 10690610880 11581495120 13897794144 17372242680 23162990240 27795588288 34744485360 46325980480 69488970720 138977941440