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138225868280 = 23523491305999
BaseRepresentation
bin1000000010111011100…
…1110101110111111000
3111012210012100122112222
42000232321311313320
54231041310241110
6143300004023212
712662236331423
oct2005671656770
9435705318488
10138225868280
1153691998785
1222957691b08
131005b15b406
146993b6a9ba
1538e00c7c55
hex202ee75df8

138225868280 has 64 divisors (see below), whose sum is σ = 325192320000. Its totient is φ = 52778535040.

The previous prime is 138225868271. The next prime is 138225868283. The reversal of 138225868280 is 82868522831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138225868283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298721 + ... + 604719.

It is an arithmetic number, because the mean of its divisors is an integer number (5081130000).

Almost surely, 2138225868280 is an apocalyptic number.

138225868280 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 138225868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596160000).

138225868280 is an abundant number, since it is smaller than the sum of its proper divisors (186966451720).

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

138225868280 is a wasteful number, since it uses less digits than its factorization.

138225868280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306524 (or 306520 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The spelling of 138225868280 in words is "one hundred thirty-eight billion, two hundred twenty-five million, eight hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 491 920 982 1964 2455 3928 4910 9820 11293 19640 22586 45172 56465 90344 112930 225860 305999 451720 611998 1223996 1529995 2447992 3059990 6119980 7037977 12239960 14075954 28151908 35189885 56303816 70379770 140759540 150245509 281519080 300491018 600982036 751227545 1201964072 1502455090 3004910180 3455646707 6009820360 6911293414 13822586828 17278233535 27645173656 34556467070 69112934140 138225868280