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503135541543114 = 2346671346554269
BaseRepresentation
bin111001001100110010101111…
…1001110100100000011001010
32102222110021202222011201120000
41302121211133032210003022
51011421333042113334424
64542025135450543430
7210656225516343504
oct16231453716440312
92388407688151500
10503135541543114
11136350648536a77
124851b056a37b76
131879862a1960bc
148c35c667aad74
153d27a9b72e3c9
hex1c9995f3a40ca

503135541543114 has 40 divisors (see below), whose sum is σ = 1127413229467140. Its totient is φ = 167709329648064.

The previous prime is 503135541543101. The next prime is 503135541543119. The reversal of 503135541543114 is 411345145531305.

503135541543114 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 3 + 55 + 41 + 543 + 1 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 426698552562489 + 76436988980625 = 20656683^2 + 8742825^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 503135541543114.

It is not an unprimeable number, because it can be changed into a prime (503135541543119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12469629 + ... + 34084640.

Almost surely, 2503135541543114 is an apocalyptic number.

503135541543114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

503135541543114 is an abundant number, since it is smaller than the sum of its proper divisors (624277687924026).

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

503135541543114 is a wasteful number, since it uses less digits than its factorization.

503135541543114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46620996 (or 46620987 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 503135541543114 in words is "five hundred three trillion, one hundred thirty-five billion, five hundred forty-one million, five hundred forty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 66713 133426 200139 400278 600417 1200834 1801251 3602502 5403753 10807506 46554269 93108538 139662807 279325614 418988421 837976842 1256965263 2513930526 3770895789 7541791578 3105774947797 6211549895594 9317324843391 18634649686782 27951974530173 55903949060346 83855923590519 167711847181038 251567770771557 503135541543114