Search a number
-
+
44105241334512 = 24347732331149403
BaseRepresentation
bin10100000011101000011010…
…01111100001001011110000
312210011102100002202102202210
422001310031033201023300
521240110013240201022
6233445400153212120
712201332665454031
oct1201641517411360
9183142302672683
1044105241334512
1113064a22a03a56
124b43a84101040
131b7c14ca2b8a7
14ac69c29dca88
1551742a139a0c
hex281d0d3e12f0

44105241334512 has 160 divisors (see below), whose sum is σ = 118463130160128. Its totient is φ = 14130913701888.

The previous prime is 44105241334487. The next prime is 44105241334537. The reversal of 44105241334512 is 21543314250144.

It is an interprime number because it is at equal distance from previous prime (44105241334487) and next prime (44105241334537).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37797603 + ... + 38947005.

Almost surely, 244105241334512 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 44105241334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59231565080064).

44105241334512 is an abundant number, since it is smaller than the sum of its proper divisors (74357888825616).

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

44105241334512 is a wasteful number, since it uses less digits than its factorization.

44105241334512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149767 (or 1149761 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 44105241334512 its reverse (21543314250144), we get a palindrome (65648555584656).

The spelling of 44105241334512 in words is "forty-four trillion, one hundred five billion, two hundred forty-one million, three hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 233 282 292 376 438 466 564 584 699 752 876 932 1128 1168 1398 1752 1864 2256 2796 3431 3504 3728 5592 6862 10293 10951 11184 13724 17009 20586 21902 27448 32853 34018 41172 43804 51027 54896 65706 68036 82344 87608 102054 131412 136072 164688 175216 204108 262824 272144 408216 525648 799423 816432 1149403 1598846 2298806 2398269 3197692 3448209 4597612 4796538 6395384 6896418 9195224 9593076 12790768 13792836 18390448 19186152 27585672 38372304 54021941 55171344 83906419 108043882 162065823 167812838 216087764 251719257 267810899 324131646 335625676 432175528 503438514 535621798 648263292 671251352 803432697 864351056 1006877028 1071243596 1296526584 1342502704 1606865394 2013754056 2142487192 2593053168 3213730788 3943601693 4027508112 4284974384 6427461576 7887203386 11830805079 12587112253 12854923152 15774406772 19550195627 23661610158 25174224506 31548813544 37761336759 39100391254 47323220316 50348449012 58650586881 63097627088 75522673518 78200782508 94646440632 100696898024 117301173762 151045347036 156401565016 189292881264 201393796048 234602347524 302090694072 312803130032 469204695048 604181388144 918859194469 938409390096 1837718388938 2756577583407 3675436777876 5513155166814 7350873555752 11026310333628 14701747111504 22052620667256 44105241334512