Search a number
-
+
15042414100 = 22527174112343
BaseRepresentation
bin11100000001001100…
…10000011000010100
31102211022221210220011
432000212100120110
5221301324222400
610524351050004
71041523260460
oct160046203024
942738853804
1015042414100
11641a06139a
122ab9810904
13155957965c
14a29b054a0
155d08e18ba
hex380990614

15042414100 has 72 divisors (see below), whose sum is σ = 37329638528. Its totient is φ = 5154019200.

The previous prime is 15042414097. The next prime is 15042414131. The reversal of 15042414100 is 141424051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212529 + ... + 1224871.

Almost surely, 215042414100 is an apocalyptic number.

15042414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15042414100 is an abundant number, since it is smaller than the sum of its proper divisors (22287224428).

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

15042414100 is a wasteful number, since it uses less digits than its factorization.

15042414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 15042414100 its reverse (141424051), we get a palindrome (15183838151).

The spelling of 15042414100 in words is "fifteen billion, forty-two million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1741 3482 6964 8705 12187 12343 17410 24374 24686 34820 43525 48748 49372 60935 61715 86401 87050 121870 123430 172802 174100 243740 246860 304675 308575 345604 432005 609350 617150 864010 1218700 1234300 1728020 2160025 4320050 8640100 21489163 42978326 85956652 107445815 150424141 214891630 300848282 429783260 537229075 601696564 752120705 1074458150 1504241410 2148916300 3008482820 3760603525 7521207050 15042414100