Search a number
-
+
104100244144 = 24132371040503
BaseRepresentation
bin110000011110011011…
…0111010101010110000
3100221200220222022210221
41200330312322222300
53201144130303034
6115453433302424
710343462322031
oct1407466725260
9327626868727
10104100244144
114016a968226
1218212b64a14
139a8012bb00
14507782aa88
152a941b1bb4
hex183cdbaab0

104100244144 has 60 divisors (see below), whose sum is σ = 224305609296. Its totient is φ = 46747673856.

The previous prime is 104100244109. The next prime is 104100244153. The reversal of 104100244144 is 441442001401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420204 + ... + 620299.

Almost surely, 2104100244144 is an apocalyptic number.

It is an amenable number.

104100244144 is an abundant number, since it is smaller than the sum of its proper divisors (120205365152).

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

104100244144 is a wasteful number, since it uses less digits than its factorization.

104100244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040574 (or 1040555 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104100244144 its reverse (441442001401), we get a palindrome (545542245545).

The spelling of 104100244144 in words is "one hundred four billion, one hundred million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 169 208 296 338 481 592 676 962 1352 1924 2704 3848 6253 7696 12506 25012 50024 100048 1040503 2081006 4162012 8324024 13526539 16648048 27053078 38498611 54106156 76997222 108212312 153994444 175845007 216424624 307988888 351690014 500481943 615977776 703380028 1000963886 1406760056 2001927772 2813520112 4003855544 6506265259 8007711088 13012530518 26025061036 52050122072 104100244144