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104554231344 = 24325940130689
BaseRepresentation
bin110000101011111101…
…0101111011000110000
3100222212120020021011200
41201113322233120300
53203111340400334
6120010452011200
710360644205623
oct1412772573060
9328776207150
10104554231344
1140383157562
121831b000b00
139b231c35a4
1450bbc45dba
152abde8b799
hex1857eaf630

104554231344 has 120 divisors (see below), whose sum is σ = 298317848400. Its totient is φ = 34174156800.

The previous prime is 104554231337. The next prime is 104554231349. The reversal of 104554231344 is 443132455401.

104554231344 is a `hidden beast` number, since 1 + 0 + 45 + 542 + 31 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104554231299 and 104554231308.

It is not an unprimeable number, because it can be changed into a prime (104554231349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391552 + ... + 3422240.

It is an arithmetic number, because the mean of its divisors is an integer number (2485982070).

Almost surely, 2104554231344 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 104554231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149158924200).

104554231344 is an abundant number, since it is smaller than the sum of its proper divisors (193763617056).

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

104554231344 is a wasteful number, since it uses less digits than its factorization.

104554231344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31163 (or 31154 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 104554231344 its reverse (443132455401), we get a palindrome (547686686745).

The spelling of 104554231344 in words is "one hundred four billion, five hundred fifty-four million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 401 472 531 708 802 944 1062 1203 1416 1604 2124 2406 2832 3208 3609 4248 4812 6416 7218 8496 9624 14436 19248 23659 28872 30689 47318 57744 61378 70977 92067 94636 122756 141954 184134 189272 212931 245512 276201 283908 368268 378544 425862 491024 552402 567816 736536 851724 1104804 1135632 1473072 1703448 1810651 2209608 3406896 3621302 4419216 5431953 7242604 10863906 12306289 14485208 16295859 21727812 24612578 28970416 32591718 36918867 43455624 49225156 65183436 73837734 86911248 98450312 110756601 130366872 147675468 196900624 221513202 260733744 295350936 443026404 590701872 726071051 886052808 1452142102 1772105616 2178213153 2904284204 4356426306 5808568408 6534639459 8712852612 11617136816 13069278918 17425705224 26138557836 34851410448 52277115672 104554231344