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23920147440 = 2432574746061
BaseRepresentation
bin10110010001110000…
…000111101111110000
32021202000222101120200
4112101300013233300
5342442024204230
614553323435200
71504522620120
oct262160075760
967660871520
1023920147440
11a1653328a2
124776985b00
1323428bb0c7
14122cbb0c80
1594eebb160
hex591c07bf0

23920147440 has 120 divisors (see below), whose sum is σ = 91807823328. Its totient is φ = 5467461120.

The previous prime is 23920147421. The next prime is 23920147487. The reversal of 23920147440 is 4474102932.

23920147440 is a `hidden beast` number, since 2 + 3 + 9 + 201 + 4 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23920147395 and 23920147404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2367991 + ... + 2378070.

Almost surely, 223920147440 is an apocalyptic number.

23920147440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23920147440 is an abundant number, since it is smaller than the sum of its proper divisors (67887675888).

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

23920147440 is a wasteful number, since it uses less digits than its factorization.

23920147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746087 (or 4746078 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23920147440 in words is "twenty-three billion, nine hundred twenty million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4746061 9492122 14238183 18984244 23730305 28476366 33222427 37968488 42714549 47460610 56952732 66444854 71190915 75936976 85429098 94921220 99667281 113905464 132889708 142381830 166112135 170858196 189842440 199334562 213572745 227810928 265779416 284763660 299001843 332224270 341716392 379684880 398669124 427145490 498336405 531558832 569527320 598003686 664448540 683432784 797338248 854290980 996672810 1139054640 1196007372 1328897080 1495009215 1594676496 1708581960 1993345620 2392014744 2657794160 2990018430 3417163920 3986691240 4784029488 5980036860 7973382480 11960073720 23920147440