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20344057440 = 253576054779
BaseRepresentation
bin10010111100100110…
…011010111001100000
31221111210221012022220
4102330212122321200
5313131034314230
613202415431040
71320100430550
oct227446327140
957453835286
1020344057440
11869a765513
123b39225480
131bc2a60015
14dadc87160
157e107dd10
hex4bc99ae60

20344057440 has 96 divisors (see below), whose sum is σ = 73238618880. Its totient is φ = 4650069504.

The previous prime is 20344057439. The next prime is 20344057441. The reversal of 20344057440 is 4475044302.

It is an interprime number because it is at equal distance from previous prime (20344057439) and next prime (20344057441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344057441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024030 + ... + 3030749.

It is an arithmetic number, because the mean of its divisors is an integer number (762902280).

Almost surely, 220344057440 is an apocalyptic number.

20344057440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20344057440 is an abundant number, since it is smaller than the sum of its proper divisors (52894561440).

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

20344057440 is a wasteful number, since it uses less digits than its factorization.

20344057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054804 (or 6054796 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The spelling of 20344057440 in words is "twenty billion, three hundred forty-four million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6054779 12109558 18164337 24219116 30273895 36328674 42383453 48438232 60547790 72657348 84766906 90821685 96876464 121095580 127150359 145314696 169533812 181643370 193752928 211917265 242191160 254300718 290629392 339067624 363286740 423834530 484382320 508601436 581258784 635751795 678135248 726573480 847669060 968764640 1017202872 1271503590 1356270496 1453146960 1695338120 2034405744 2543007180 2906293920 3390676240 4068811488 5086014360 6781352480 10172028720 20344057440