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138173244120 = 2334542646063
BaseRepresentation
bin1000000010101111000…
…1000110001011011000
3111012122112100001210000
42000223301012023120
54230434322302440
6143250444053000
712661030124262
oct2005361061330
9435575301700
10138173244120
115366521543a
1222941b34160
1310050294762
14698ab8cb32
1538da680730
hex202bc462d8

138173244120 has 80 divisors (see below), whose sum is σ = 464415636960. Its totient is φ = 36846197568.

The previous prime is 138173244047. The next prime is 138173244149. The reversal of 138173244120 is 21442371831.

It is a super-2 number, since 2×1381732441202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21319792 + ... + 21326271.

It is an arithmetic number, because the mean of its divisors is an integer number (5805195462).

Almost surely, 2138173244120 is an apocalyptic number.

138173244120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138173244120 is an abundant number, since it is smaller than the sum of its proper divisors (326242392840).

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

138173244120 is a wasteful number, since it uses less digits than its factorization.

138173244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42646086 (or 42646073 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 138173244120 in words is "one hundred thirty-eight billion, one hundred seventy-three million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 42646063 85292126 127938189 170584252 213230315 255876378 341168504 383814567 426460630 511752756 639690945 767629134 852921260 1023505512 1151443701 1279381890 1535258268 1705842520 1919072835 2302887402 2558763780 3070516536 3454331103 3838145670 4605774804 5117527560 5757218505 6908662206 7676291340 9211549608 11514437010 13817324412 15352582680 17271655515 23028874020 27634648824 34543311030 46057748040 69086622060 138173244120