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44048065428976 = 247191131511213109
BaseRepresentation
bin10100000001111101111010…
…10010101111110111110000
312202221221202102012111022211
422000332331102233313300
521233140414222211401
6233403222451141504
712164240060335630
oct1200767522576760
9182857672174284
1044048065428976
1113042752670964
124b34987ba4894
131b7693a3b691b
14ac3d1b2426c0
15515bd07d0951
hex280fbd4afdf0

44048065428976 has 160 divisors (see below), whose sum is σ = 104263019596800. Its totient is φ = 17608505241600.

The previous prime is 44048065428889. The next prime is 44048065429007. The reversal of 44048065428976 is 67982456084044.

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, 35703510 + ... + 36916618.

It is an arithmetic number, because the mean of its divisors is an integer number (651643872480).

Almost surely, 244048065428976 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 44048065428976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52131509798400).

44048065428976 is an abundant number, since it is smaller than the sum of its proper divisors (60214954167824).

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

44048065428976 is a wasteful number, since it uses less digits than its factorization.

44048065428976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213407 (or 1213401 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 67.

It can be divided in two parts, 440480 and 65428976, that added together give a square (65869456 = 81162).

The spelling of 44048065428976 in words is "forty-four trillion, forty-eight billion, sixty-five million, four hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 113 133 151 152 226 266 302 304 452 532 604 791 904 1057 1064 1208 1582 1808 2114 2128 2147 2416 2869 3164 4228 4294 5738 6328 8456 8588 11476 12656 15029 16912 17063 17176 20083 22952 30058 34126 34352 40166 45904 60116 68252 80332 119441 120232 136504 160664 238882 240464 273008 321328 324197 477764 648394 955528 1213109 1296788 1911056 2269379 2426218 2593576 4538758 4852436 5187152 8491763 9077516 9704872 16983526 18155032 19409744 23049071 33967052 36310064 46098142 67934104 92196284 135868208 137081317 161343497 183179459 184392568 274162634 322686994 366358918 368785136 548325268 645373988 732717836 959569219 1096650536 1282256213 1290747976 1465435672 1919138438 2193301072 2564512426 2581495952 2604545023 2930871344 3480409721 3838276876 5129024852 5209090046 6960819442 7676553752 10258049704 10418180092 13921638884 15353107504 18231815161 20516099408 20699278867 20836360184 24362868047 27843277768 36463630322 41398557734 41672720368 48725736094 55686555536 72927260644 82797115468 97451472188 144894952069 145854521288 165594230936 194902944376 289789904138 291709042576 331188461872 389805888752 393286298473 579579808276 786572596946 1159159616552 1573145193892 2318319233104 2753004089311 3146290387784 5506008178622 6292580775568 11012016357244 22024032714488 44048065428976