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44024145021396 = 223219199359390017
BaseRepresentation
bin10100000001010001010111…
…00001101000100111010100
312202212200000100201212220100
422000220223201220213110
521232242422111141041
6233344225113534100
712162432232253211
oct1200505341504724
9182780010655810
1044024145021396
1113033598180681
124b30211114330
131b745c77372b7
14ac2acc404b08
155152807b26b6
hex280a2b8689d4

44024145021396 has 144 divisors (see below), whose sum is σ = 117762987888000. Its totient is φ = 13828497002496.

The previous prime is 44024145021343. The next prime is 44024145021401. The reversal of 44024145021396 is 69312054142044.

44024145021396 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 4 + 1 + 4 + 502 + 139 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489019780 + ... + 489109796.

It is an arithmetic number, because the mean of its divisors is an integer number (817798527000).

Almost surely, 244024145021396 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 44024145021396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58881493944000).

44024145021396 is an abundant number, since it is smaller than the sum of its proper divisors (73738842866604).

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

44024145021396 is a wasteful number, since it uses less digits than its factorization.

44024145021396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93838 (or 93833 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 44024145021396 in words is "forty-four trillion, twenty-four billion, one hundred forty-five million, twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 199 228 342 398 597 684 796 1194 1791 2388 3582 3593 3781 7164 7186 7562 10779 11343 14372 15124 21558 22686 32337 34029 43116 45372 64674 68058 68267 90017 129348 136116 136534 180034 204801 270051 273068 360068 409602 540102 614403 715007 810153 819204 1080204 1228806 1430014 1620306 1710323 2145021 2457612 2860028 3240612 3420646 4290042 5130969 6435063 6841292 8580084 10261938 12870126 13585133 15392907 17913383 20523876 25740252 27170266 30785814 35826766 40755399 53740149 54340532 61571628 71653532 81510798 107480298 122266197 161220447 163021596 214960596 244532394 322440894 323431081 340354277 489064788 644881788 646862162 680708554 970293243 1021062831 1293724324 1361417108 1940586486 2042125662 2910879729 3063188493 3881172972 4084251324 5821759458 6126376986 6145190539 11643518916 12252753972 12290381078 18435571617 24580762156 36871143234 55306714851 64362785119 73742286468 110613429702 128725570238 193088355357 221226859404 257451140476 386176710714 579265066071 772353421428 1158530132142 1222892917261 2317060264284 2445785834522 3668678751783 4891571669044 7337357503566 11006036255349 14674715007132 22012072510698 44024145021396