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104414244198 = 2311210111031291
BaseRepresentation
bin110000100111110010…
…0101110110101100110
3100222111210211011220120
41201033210232311212
53202320021303243
6115544531342410
710354324301055
oct1411744566546
9328453734816
10104414244198
1140311134100
12182a0151a06
139b001bc064
1450a740639c
152ab1a38c83
hex184f92ed66

104414244198 has 96 divisors (see below), whose sum is σ = 232201299456. Its totient is φ = 31274760000.

The previous prime is 104414244167. The next prime is 104414244199. The reversal of 104414244198 is 891442414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414244199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80877933 + ... + 80879223.

It is an arithmetic number, because the mean of its divisors is an integer number (2418763536).

Almost surely, 2104414244198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104414244198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116100649728).

104414244198 is an abundant number, since it is smaller than the sum of its proper divisors (127787055258).

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

104414244198 is a wasteful number, since it uses less digits than its factorization.

104414244198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

Adding to 104414244198 its reverse (891442414401), we get a palindrome (995856658599).

The spelling of 104414244198 in words is "one hundred four billion, four hundred fourteen million, two hundred forty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1103 1111 1291 2206 2222 2582 3309 3333 3873 6618 6666 7746 12133 12221 14201 24266 24442 28402 36399 36663 42603 72798 73326 85206 111403 130391 133463 156211 222806 260782 266926 312422 334209 391173 400389 468633 668418 782346 800778 937266 1225433 1423973 1434301 2450866 2847946 2868602 3676299 4271919 4302903 7352598 8543838 8605806 13479763 15663703 15777311 26959526 31327406 31554622 40439289 46991109 47331933 80878578 93982218 94663866 143821273 172300733 287642546 344601466 431463819 516902199 862927638 1033804398 1582034003 3164068006 4746102009 9492204018 17402374033 34804748066 52207122099 104414244198