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10244223535040 = 265117274003151
BaseRepresentation
bin1001010100010010101101…
…0011100000011111000000
31100021100010112220021200222
42111010223103200133000
52320320132211110130
633442044211002212
72105056260214325
oct225045323403700
940240115807628
1010244223535040
11329a607134690
121195495899368
135940455560c1
14275b746bcb4c
1512b720a7bce5
hex9512b4e07c0

10244223535040 has 112 divisors (see below), whose sum is σ = 26648310334464. Its totient is φ = 3720047232000.

The previous prime is 10244223535027. The next prime is 10244223535043. The reversal of 10244223535040 is 4053532244201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244223535043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557465 + ... + 4560615.

It is an arithmetic number, because the mean of its divisors is an integer number (237931342272).

Almost surely, 210244223535040 is an apocalyptic number.

10244223535040 is a gapful number since it is divisible by the number (10) 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 10244223535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324155167232).

10244223535040 is an abundant number, since it is smaller than the sum of its proper divisors (16404086799424).

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

10244223535040 is a wasteful number, since it uses less digits than its factorization.

10244223535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003906 (or 4003896 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 10244223535040 its reverse (4053532244201), we get a palindrome (14297755779241).

The spelling of 10244223535040 in words is "ten trillion, two hundred forty-four billion, two hundred twenty-three million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 727 880 1454 1760 2908 3520 3635 5816 7270 7997 11632 14540 15994 23264 29080 31988 39985 46528 58160 63976 79970 116320 127952 159940 232640 255904 319880 511808 639760 1279520 2559040 4003151 8006302 16012604 20015755 32025208 40031510 44034661 64050416 80063020 88069322 128100832 160126040 176138644 220173305 256201664 320252080 352277288 440346610 640504160 704554576 880693220 1281008320 1409109152 1761386440 2818218304 2910290777 3522772880 5820581554 7045545760 11641163108 14091091520 14551453885 23282326216 29102907770 32013198547 46564652432 58205815540 64026397094 93129304864 116411631080 128052794188 160065992735 186258609728 232823262160 256105588376 320131985470 465646524320 512211176752 640263970940 931293048640 1024422353504 1280527941880 2048844707008 2561055883760 5122111767520 10244223535040