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244354145850 = 2345263299533
BaseRepresentation
bin1110001110010010100…
…1000101111000111010
3212100201110102202020000
43203210221011320322
513000414130131400
6304131005213430
723440215653403
oct3434451057072
9770643382200
10244354145850
11946a25aa491
123b435861276
131a07249b3a9
14bb80a6c9aa
156552338600
hex38e4a45e3a

244354145850 has 120 divisors (see below), whose sum is σ = 679121025660. Its totient is φ = 65143975680.

The previous prime is 244354145821. The next prime is 244354145863. The reversal of 244354145850 is 58541453442.

244354145850 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 54 + 14 + 585 + 0 = 666.

244354145850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 78127517169 + 166226628681 = 279513^2 + 407709^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 244354145796 and 244354145805.

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 59 ways as a sum of consecutive naturals, for example, 25627684 + ... + 25637216.

Almost surely, 2244354145850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244354145850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339560512830).

244354145850 is an abundant number, since it is smaller than the sum of its proper divisors (434766879810).

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

244354145850 is a wasteful number, since it uses less digits than its factorization.

244354145850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 244354145850 in words is "two hundred forty-four billion, three hundred fifty-four million, one hundred forty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 6329 9533 12658 18987 19066 28599 31645 37974 47665 56961 57198 63290 85797 94935 95330 113922 142995 158225 170883 171594 189870 238325 257391 284805 285990 316450 341766 428985 474675 476650 512649 514782 569610 714975 772173 854415 857970 949350 1025298 1286955 1424025 1429950 1544346 1708830 2144925 2563245 2573910 2848050 3860865 4272075 4289850 5126490 6434775 7721730 8544150 12816225 12869550 19304325 25632450 38608650 60334357 120668714 181003071 301671785 362006142 543009213 603343570 905015355 1086018426 1508358925 1629027639 1810030710 2715046065 3016717850 3258055278 4525076775 4887082917 5430092130 8145138195 9050153550 9774165834 13575230325 16290276390 24435414585 27150460650 40725690975 48870829170 81451381950 122177072925 244354145850