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23040288015840 = 2532516000200011
BaseRepresentation
bin1010011110100011111000…
…01011101100010111100000
310000120122000021202001001200
411033101330023230113200
511004443002213001330
6121000321233401200
74565414546534064
oct517217413542740
9100518007661050
1023040288015840
117383370a20377
122701441a09200
13cb18c7759264
14599227a95aa4
1529e4e6504a60
hex14f47c2ec5e0

23040288015840 has 72 divisors (see below), whose sum is σ = 78624982858968. Its totient is φ = 6144076803840.

The previous prime is 23040288015821. The next prime is 23040288015841. The reversal of 23040288015840 is 4851088204032.

23040288015840 is a `hidden beast` number, since 2 + 3 + 0 + 40 + 28 + 8 + 0 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040288015841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8000098566 + ... + 8000101445.

It is an arithmetic number, because the mean of its divisors is an integer number (1092013650819).

Almost surely, 223040288015840 is an apocalyptic number.

23040288015840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040288015840 is an abundant number, since it is smaller than the sum of its proper divisors (55584694843128).

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

23040288015840 is a wasteful number, since it uses less digits than its factorization.

23040288015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000200032 (or 16000200021 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 23040288015840 in words is "twenty-three trillion, forty billion, two hundred eighty-eight million, fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16000200011 32000400022 48000600033 64000800044 80001000055 96001200066 128001600088 144001800099 160002000110 192002400132 240003000165 256003200176 288003600198 320004000220 384004800264 480006000330 512006400352 576007200396 640008000440 720009000495 768009600528 960012000660 1152014400792 1280016000880 1440018000990 1536019201056 1920024001320 2304028801584 2560032001760 2880036001980 3840048002640 4608057603168 5760072003960 7680096005280 11520144007920 23040288015840