Search a number
-
+
44250051780 = 223251155740123
BaseRepresentation
bin101001001101100000…
…100011010011000100
311020012212021112111200
4221031200203103010
51211111003124110
632154520102500
73124362143214
oct511540432304
9136185245450
1044250051780
1117848000930
1286ab304a30
1342327340bc
1421dac12244
15123eba16c0
hexa4d8234c4

44250051780 has 144 divisors (see below), whose sum is σ = 146693985984. Its totient is φ = 10707759360.

The previous prime is 44250051779. The next prime is 44250051787. The reversal of 44250051780 is 8715005244.

44250051780 is a `hidden beast` number, since 44 + 25 + 0 + 0 + 517 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (44250051787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082799 + ... + 1122921.

It is an arithmetic number, because the mean of its divisors is an integer number (1018708236).

Almost surely, 244250051780 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 44250051780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73346992992).

44250051780 is an abundant number, since it is smaller than the sum of its proper divisors (102443934204).

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

44250051780 is a wasteful number, since it uses less digits than its factorization.

44250051780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40706 (or 40701 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 44250051780 in words is "forty-four billion, two hundred fifty million, fifty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 557 660 990 1114 1671 1980 2228 2785 3342 5013 5570 6127 6684 8355 10026 11140 12254 16710 18381 20052 24508 25065 30635 33420 36762 40123 50130 55143 61270 73524 80246 91905 100260 110286 120369 122540 160492 183810 200615 220572 240738 275715 361107 367620 401230 441353 481476 551430 601845 722214 802460 882706 1102860 1203690 1324059 1444428 1765412 1805535 2206765 2407380 2648118 3611070 3972177 4413530 5296236 6620295 7222140 7944354 8827060 13240590 15888708 19860885 22348511 26481180 39721770 44697022 67045533 79443540 89394044 111742555 134091066 201136599 223485110 245833621 268182132 335227665 402273198 446970220 491667242 670455330 737500863 804546396 983334484 1005682995 1229168105 1340910660 1475001726 2011365990 2212502589 2458336210 2950003452 3687504315 4022731980 4425005178 4916672420 7375008630 8850010356 11062512945 14750017260 22125025890 44250051780