Search a number
-
+
104015115404004 = 22374175146398669
BaseRepresentation
bin10111101001100111101000…
…000000010100001011100100
3111122021202012020022022102210
4113221213220000110023210
5102113140424020412004
61005115515004203420
730623562345024540
oct2751475000241344
9448252166268383
10104015115404004
1130162620a82572
12b7ba9ab839570
1346067776656cc
141b98503816a20
15c05a12788089
hex5e99e80142e4

104015115404004 has 192 divisors, whose sum is σ = 284611357900800. Its totient is φ = 28945572480000.

The previous prime is 104015115403993. The next prime is 104015115404021. The reversal of 104015115404004 is 400404511510401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11998509382 + ... + 11998518050.

It is an arithmetic number, because the mean of its divisors is an integer number (1482350822400).

Almost surely, 2104015115404004 is an apocalyptic number.

104015115404004 is a gapful number since it is divisible by the number (14) 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 104015115404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142305678950400).

104015115404004 is an abundant number, since it is smaller than the sum of its proper divisors (180596242496796).

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

104015115404004 is a wasteful number, since it uses less digits than its factorization.

104015115404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 104015115404004 its reverse (400404511510401), we get a palindrome (504419626914405).

The spelling of 104015115404004 in words is "one hundred four trillion, fifteen billion, one hundred fifteen million, four hundred four thousand, four".