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44950190240 = 2552956317207
BaseRepresentation
bin101001110111001111…
…010111100010100000
311022000122201020220202
4221313033113202200
51214024222041430
632352210324332
73150623212214
oct516717274240
9138018636822
1044950190240
111807723525a
1288658896a8
1343147c1507
142265bc4944
15128139ed45
hexa773d78a0

44950190240 has 96 divisors (see below), whose sum is σ = 110058238080. Its totient is φ = 17328231424.

The previous prime is 44950190237. The next prime is 44950190261. The reversal of 44950190240 is 4209105944.

It is a super-2 number, since 2×449501902402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44950190194 and 44950190203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603717 + ... + 2620923.

It is an arithmetic number, because the mean of its divisors is an integer number (1146439980).

Almost surely, 244950190240 is an apocalyptic number.

44950190240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44950190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029119040).

44950190240 is an abundant number, since it is smaller than the sum of its proper divisors (65108047840).

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

44950190240 is a wasteful number, since it uses less digits than its factorization.

44950190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 44950190240 in words is "forty-four billion, nine hundred fifty million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 563 580 928 1126 1160 2252 2320 2815 4504 4640 5630 9008 11260 16327 17207 18016 22520 32654 34414 45040 65308 68828 81635 86035 90080 130616 137656 163270 172070 261232 275312 326540 344140 499003 522464 550624 653080 688280 998006 1306160 1376560 1996012 2495015 2612320 2753120 3992024 4990030 7984048 9687541 9980060 15968096 19375082 19960120 38750164 39920240 48437705 77500328 79840480 96875410 155000656 193750820 280938689 310001312 387501640 561877378 775003280 1123754756 1404693445 1550006560 2247509512 2809386890 4495019024 5618773780 8990038048 11237547560 22475095120 44950190240