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1023041433114 = 232397160789087
BaseRepresentation
bin11101110001100100000…
…01010110111000011010
310121210122111221111121200
432320302001112320122
5113230142101324424
62101551224215030
7133624630462611
oct16706201267032
93553574844550
101023041433114
113649622446a8
1214633260a476
137561ab0392c
143773063c878
151b92950c8c9
hexee32056e1a

1023041433114 has 48 divisors (see below), whose sum is σ = 2223580889088. Its totient is φ = 339939347616.

The previous prime is 1023041433079. The next prime is 1023041433133. The reversal of 1023041433114 is 4113341403201.

1023041433114 is a `hidden beast` number, since 1 + 0 + 2 + 304 + 1 + 43 + 311 + 4 = 666.

It is a super-2 number, since 2×10230414331142 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11439079 + ... + 11528165.

It is an arithmetic number, because the mean of its divisors is an integer number (46324601856).

Almost surely, 21023041433114 is an apocalyptic number.

1023041433114 is an abundant number, since it is smaller than the sum of its proper divisors (1200539455974).

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

1023041433114 is a wasteful number, since it uses less digits than its factorization.

1023041433114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91099 (or 91096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1023041433114 its reverse (4113341403201), we get a palindrome (5136382836315).

The spelling of 1023041433114 in words is "one trillion, twenty-three billion, forty-one million, four hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 397 794 1191 1607 2382 3214 3573 4821 7146 9642 14463 28926 89087 178174 267261 534522 637979 801783 1275958 1603566 1913937 3827874 5741811 11483622 35367539 70735078 106102617 143162809 212205234 286325618 318307851 429488427 636615702 858976854 1288465281 2576930562 56835635173 113671270346 170506905519 341013811038 511520716557 1023041433114