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2342125025040 = 243519513623909
BaseRepresentation
bin100010000101010001100…
…001111011011100010000
322021220102201102212112210
4202011101201323130100
5301333133001300130
64551542443352120
7331133020143453
oct42052141733420
98256381385483
102342125025040
11823320576969
12319b04b22640
1313cb27785aa8
14815064c149a
1540dcd9d05b0
hex2215187b710

2342125025040 has 80 divisors (see below), whose sum is σ = 7642723780800. Its totient is φ = 591694742016.

The previous prime is 2342125025033. The next prime is 2342125025041. The reversal of 2342125025040 is 405205212432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2342125024989 and 2342125025007.

It is not an unprimeable number, because it can be changed into a prime (2342125025041) 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, 256807395 + ... + 256816514.

It is an arithmetic number, because the mean of its divisors is an integer number (95534047260).

Almost surely, 22342125025040 is an apocalyptic number.

2342125025040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342125025040 is an abundant number, since it is smaller than the sum of its proper divisors (5300598755760).

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

2342125025040 is a wasteful number, since it uses less digits than its factorization.

2342125025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513623944 (or 513623938 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2342125025040 in words is "two trillion, three hundred forty-two billion, one hundred twenty-five million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 513623909 1027247818 1540871727 2054495636 2568119545 3081743454 4108991272 5136239090 6163486908 7704358635 8217982544 9758854271 10272478180 12326973816 15408717270 19517708542 20544956360 24653947632 29276562813 30817434540 39035417084 41089912720 48794271355 58553125626 61634869080 78070834168 97588542710 117106251252 123269738160 146382814065 156141668336 195177085420 234212502504 292765628130 390354170840 468425005008 585531256260 780708341680 1171062512520 2342125025040