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100614141424 = 24232418871279
BaseRepresentation
bin101110110110100010…
…0011111010111110000
3100121200222020221220101
41131231010133113300
53122024210011144
6114115502122144
710161212043166
oct1355504372760
9317628227811
10100614141424
11397410726a5
12175bb580354
139645b19c34
144c26849236
15293d0ec6d4
hex176d11f5f0

100614141424 has 80 divisors (see below), whose sum is σ = 204649758720. Its totient is φ = 47828689920.

The previous prime is 100614141421. The next prime is 100614141443. The reversal of 100614141424 is 424141416001.

It is a junction number, because it is equal to n+sod(n) for n = 100614141392 and 100614141401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100614141421) 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, 78665617 + ... + 78666895.

It is an arithmetic number, because the mean of its divisors is an integer number (2558121984).

Almost surely, 2100614141424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100614141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102324879360).

100614141424 is an abundant number, since it is smaller than the sum of its proper divisors (104035617296).

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

100614141424 is a wasteful number, since it uses less digits than its factorization.

100614141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 100614141424 its reverse (424141416001), we get a palindrome (524755557425).

The spelling of 100614141424 in words is "one hundred billion, six hundred fourteen million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 241 368 482 887 964 1279 1774 1928 2558 3548 3856 5116 5543 7096 10232 11086 14192 20401 20464 22172 29417 40802 44344 58834 81604 88688 117668 163208 213767 235336 308239 326416 427534 470672 616478 855068 1134473 1232956 1710136 2268946 2465912 3420272 4537892 4916641 4931824 7089497 9075784 9833282 14178994 18151568 19666564 26092879 28357988 39333128 52185758 56715976 78666256 104371516 113431952 208743032 273407993 417486064 546815986 1093631972 2187263944 4374527888 6288383839 12576767678 25153535356 50307070712 100614141424