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44981100400 = 24521372633121
BaseRepresentation
bin101001111001000101…
…010001111101110000
311022002210212122200111
4221321011101331300
51214110130203100
632355233031104
73151450021255
oct517105217560
9138083778614
1044981100400
1118092727545
1288740b5494
13431b024852
142269d4d42c
151283e586ba
hexa79151f70

44981100400 has 120 divisors (see below), whose sum is σ = 109304816544. Its totient is φ = 17787494400.

The previous prime is 44981100397. The next prime is 44981100413. The reversal of 44981100400 is 400118944.

44981100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14410840 + ... + 14413960.

Almost surely, 244981100400 is an apocalyptic number.

44981100400 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 44981100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652408272).

44981100400 is an abundant number, since it is smaller than the sum of its proper divisors (64323716144).

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

44981100400 is a wasteful number, since it uses less digits than its factorization.

44981100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 44981100400 in words is "forty-four billion, nine hundred eighty-one million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 263 274 400 526 548 685 1052 1096 1315 1370 2104 2192 2630 2740 3121 3425 4208 5260 5480 6242 6575 6850 10520 10960 12484 13150 13700 15605 21040 24968 26300 27400 31210 36031 49936 52600 54800 62420 72062 78025 105200 124840 144124 156050 180155 249680 288248 312100 360310 427577 576496 624200 720620 820823 855154 900775 1248400 1441240 1641646 1710308 1801550 2137885 2882480 3283292 3420616 3603100 4104115 4275770 6566584 6841232 7206200 8208230 8551540 10689425 13133168 14412400 16416460 17103080 20520575 21378850 32832920 34206160 41041150 42757700 65665840 82082300 85515400 112452751 164164600 171030800 224905502 328329200 449811004 562263755 899622008 1124527510 1799244016 2249055020 2811318775 4498110040 5622637550 8996220080 11245275100 22490550200 44981100400