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138950630640 = 24325457422291
BaseRepresentation
bin1000000101101000011…
…0100101110011110000
3111021122201010101121100
42001122012211303300
54234032330140030
6143455534124400
713016216605263
oct2013206456360
9437581111540
10138950630640
1153a24010438
1222b1a350700
131014535a793
146a2210ccda
153933a3c360
hex205a1a5cf0

138950630640 has 120 divisors (see below), whose sum is σ = 467664741648. Its totient is φ = 36972334080.

The previous prime is 138950630639. The next prime is 138950630657. The reversal of 138950630640 is 46036059831.

138950630640 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 5 + 0 + 630 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117895 + ... + 540185.

Almost surely, 2138950630640 is an apocalyptic number.

138950630640 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 138950630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233832370824).

138950630640 is an abundant number, since it is smaller than the sum of its proper divisors (328714111008).

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

138950630640 is a wasteful number, since it uses less digits than its factorization.

138950630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422767 (or 422758 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 138950630640 in words is "one hundred thirty-eight billion, nine hundred fifty million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 457 720 914 1371 1828 2285 2742 3656 4113 4570 5484 6855 7312 8226 9140 10968 13710 16452 18280 20565 21936 27420 32904 36560 41130 54840 65808 82260 109680 164520 329040 422291 844582 1266873 1689164 2111455 2533746 3378328 3800619 4222910 5067492 6334365 6756656 7601238 8445820 10134984 12668730 15202476 16891640 19003095 20269968 25337460 30404952 33783280 38006190 50674920 60809904 76012380 101349840 152024760 192986987 304049520 385973974 578960961 771947948 964934935 1157921922 1543895896 1736882883 1929869870 2315843844 2894804805 3087791792 3473765766 3859739740 4631687688 5789609610 6947531532 7719479480 8684414415 9263375376 11579219220 13895063064 15438958960 17368828830 23158438440 27790126128 34737657660 46316876880 69475315320 138950630640