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1003520414142 = 233234119707011
BaseRepresentation
bin11101001101001100111…
…10100101000110111110
310112221021001200222211000
432212212132211012332
5112420202211223032
62045002205111130
7132334112531061
oct16464636450676
93487231628730
101003520414142
11357655126174
121425a4b584a6
1373829731c2c
14367dbbda8d8
151b185856e7c
hexe9a67a51be

1003520414142 has 64 divisors (see below), whose sum is σ = 2383760171520. Its totient is φ = 312159038400.

The previous prime is 1003520414137. The next prime is 1003520414167. The reversal of 1003520414142 is 2414140253001.

1003520414142 is a `hidden beast` number, since 10 + 0 + 35 + 204 + 1 + 414 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9802584 + ... + 9904427.

It is an arithmetic number, because the mean of its divisors is an integer number (37246252680).

Almost surely, 21003520414142 is an apocalyptic number.

1003520414142 is an abundant number, since it is smaller than the sum of its proper divisors (1380239757378).

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

1003520414142 is a wasteful number, since it uses less digits than its factorization.

1003520414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707086 (or 19707080 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1003520414142 its reverse (2414140253001), we get a palindrome (3417660667143).

The spelling of 1003520414142 in words is "one trillion, three billion, five hundred twenty million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 207 246 369 414 621 738 943 1107 1242 1886 2214 2829 5658 8487 16974 25461 50922 19707011 39414022 59121033 118242066 177363099 354726198 453261253 532089297 807987451 906522506 1064178594 1359783759 1615974902 2423962353 2719567518 4079351277 4847924706 7271887059 8158702554 12238053831 14543774118 18583711373 21815661177 24476107662 37167422746 43631322354 55751134119 111502268238 167253402357 334506804714 501760207071 1003520414142