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104023520144 = 24293173157631
BaseRepresentation
bin110000011100001001…
…0001111001110010000
3100221111120121100021022
41200320102033032100
53201020010121034
6115442053015012
710341541221635
oct1407022171620
9327446540238
10104023520144
1140130624365
12181b1324468
139a6a2778ab
14506b57818c
152a8c5a8b2e
hex183848f390

104023520144 has 160 divisors (see below), whose sum is σ = 219906877440. Its totient is φ = 47551795200.

The previous prime is 104023520141. The next prime is 104023520171. The reversal of 104023520144 is 441025320401.

It is not an unprimeable number, because it can be changed into a prime (104023520141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164854709 + ... + 164855339.

It is an arithmetic number, because the mean of its divisors is an integer number (1374417984).

Almost surely, 2104023520144 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 104023520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109953438720).

104023520144 is an abundant number, since it is smaller than the sum of its proper divisors (115883357296).

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

104023520144 is a wasteful number, since it uses less digits than its factorization.

104023520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 104023520144 its reverse (441025320401), we get a palindrome (545048840545).

The spelling of 104023520144 in words is "one hundred four billion, twenty-three million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 31 58 62 73 116 124 146 157 232 248 292 314 464 496 584 628 631 899 1168 1256 1262 1798 2117 2263 2512 2524 3596 4234 4526 4553 4867 5048 7192 8468 9052 9106 9734 10096 11461 14384 16936 18104 18212 18299 19468 19561 22922 33872 36208 36424 36598 38936 39122 45844 46063 65627 72848 73196 77872 78244 91688 92126 99067 131254 141143 146392 156488 183376 184252 198134 262508 282286 292784 312976 332369 355291 368504 396268 525016 564572 567269 664738 710582 737008 792536 1050032 1129144 1134538 1329476 1335827 1421164 1427953 1585072 2258288 2269076 2658952 2671654 2842328 2855906 2872943 3071077 4538152 5317904 5343308 5684656 5711812 5745886 6142154 7231891 9076304 10303439 10686616 11423624 11491772 12284308 14463782 20606878 21373232 22847248 22983544 24568616 28927564 41213756 41410637 45967088 49137232 57855128 82427512 82821274 89061233 115710256 164855024 165642548 178122466 209724839 224188621 331285096 356244932 419449678 448377242 662570192 712489864 838899356 896754484 1424979728 1677798712 1793508968 3355597424 3587017936 6501470009 13002940018 26005880036 52011760072 104023520144