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123488015040 = 26325133797919
BaseRepresentation
bin111001100000001110…
…1011001001011000000
3102210202002111010121200
41303000131121023000
54010400412440130
6132421332421200
711631101544315
oct1630035311300
9383662433550
10123488015040
1148409846485
121bb23a77800
13b84ca187b0
145d966a4d0c
15332b2e6760
hex1cc07592c0

123488015040 has 672 divisors, whose sum is σ = 475142478720. Its totient is φ = 29238755328.

The previous prime is 123488015039. The next prime is 123488015071. The reversal of 123488015040 is 40510884321.

123488015040 is a `hidden beast` number, since 1 + 23 + 488 + 0 + 150 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123488014986 and 123488015004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134371701 + ... + 134372619.

It is an arithmetic number, because the mean of its divisors is an integer number (707057260).

Almost surely, 2123488015040 is an apocalyptic number.

123488015040 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 123488015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237571239360).

123488015040 is an abundant number, since it is smaller than the sum of its proper divisors (351654463680).

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

123488015040 is a wasteful number, since it uses less digits than its factorization.

123488015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 123488015040 its reverse (40510884321), we get a palindrome (163998899361).

The spelling of 123488015040 in words is "one hundred twenty-three billion, four hundred eighty-eight million, fifteen thousand, forty".