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424020013344 = 253271103120113
BaseRepresentation
bin1100010101110011000…
…11111111000100100000
31111112110200110110211200
412022321203333010200
523421343110411334
6522443032241200
742430416434304
oct6127143770440
91445420413750
10424020013344
1115390a2749a4
126a217540200
1330ca5b23ba5
141674632bd04
15b06a53e799
hex62b98ff120

424020013344 has 144 divisors (see below), whose sum is σ = 1224036987264. Its totient is φ = 139207219200.

The previous prime is 424020013337. The next prime is 424020013363. The reversal of 424020013344 is 443310020424.

It is a happy number.

424020013344 is a `hidden beast` number, since 424 + 0 + 200 + 1 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 21071832 + ... + 21091944.

It is an arithmetic number, because the mean of its divisors is an integer number (8500256856).

Almost surely, 2424020013344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424020013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612018493632).

424020013344 is an abundant number, since it is smaller than the sum of its proper divisors (800016973920).

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

424020013344 is a wasteful number, since it uses less digits than its factorization.

424020013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21231 (or 21220 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 424020013344 its reverse (443310020424), we get a palindrome (867330033768).

The spelling of 424020013344 in words is "four hundred twenty-four billion, twenty million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1031 1136 1278 1704 2062 2272 2556 3093 3408 4124 5112 6186 6816 8248 9279 10224 12372 16496 18558 20113 20448 24744 32992 37116 40226 49488 60339 73201 74232 80452 98976 120678 146402 148464 160904 181017 219603 241356 292804 296928 321808 362034 439206 482712 585608 643616 658809 724068 878412 965424 1171216 1317618 1428023 1448136 1756824 1930848 2342432 2635236 2856046 2896272 3513648 4284069 5270472 5712092 5792544 7027296 8568138 10540944 11424184 12852207 17136276 20736503 21081888 22848368 25704414 34272552 41473006 45696736 51408828 62209509 68545104 82946012 102817656 124419018 137090208 165892024 186628527 205635312 248838036 331784048 373257054 411270624 497676072 663568096 746514108 995352144 1472291713 1493028216 1990704288 2944583426 2986056432 4416875139 5889166852 5972112864 8833750278 11778333704 13250625417 17667500556 23556667408 26501250834 35335001112 47113334816 53002501668 70670002224 106005003336 141340004448 212010006672 424020013344