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138896411080 = 2357717619181
BaseRepresentation
bin1000000101011011011…
…1110000100111001000
3111021111221002202100111
42001112313300213020
54233424440123310
6143450320044104
713014661004620
oct2012667604710
9437457082314
10138896411080
11539a6448489
1222b04163634
13101370558bb
146a18c37880
15392ddcc28a
hex2056df09c8

138896411080 has 128 divisors (see below), whose sum is σ = 362708098560. Its totient is φ = 46884096000.

The previous prime is 138896411041. The next prime is 138896411107. The reversal of 138896411080 is 80114698831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15124090 + ... + 15133270.

It is an arithmetic number, because the mean of its divisors is an integer number (2833657020).

Almost surely, 2138896411080 is an apocalyptic number.

138896411080 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 138896411080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181354049280).

138896411080 is an abundant number, since it is smaller than the sum of its proper divisors (223811687480).

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

138896411080 is a wasteful number, since it uses less digits than its factorization.

138896411080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 138896411080 in words is "one hundred thirty-eight billion, eight hundred ninety-six million, four hundred eleven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 761 994 1420 1522 1988 2485 2840 3044 3805 3976 4970 5327 6088 7610 9181 9940 10654 15220 18362 19880 21308 26635 30440 36724 42616 45905 53270 54031 64267 73448 91810 106540 108062 128534 183620 213080 216124 257068 270155 321335 367240 378217 432248 514136 540310 642670 651851 756434 1080620 1285340 1303702 1512868 1891085 2161240 2570680 2607404 3025736 3259255 3782170 4562957 5214808 6518510 6986741 7564340 9125914 13037020 13973482 15128680 18251828 22814785 26074040 27946964 34933705 36503656 45629570 48907187 55893928 69867410 91259140 97814374 139734820 182518280 195628748 244535935 279469640 391257496 489071870 496058611 978143740 992117222 1956287480 1984234444 2480293055 3472410277 3968468888 4960586110 6944820554 9921172220 13889641108 17362051385 19842344440 27779282216 34724102770 69448205540 138896411080