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542241142245 = 325117741141511
BaseRepresentation
bin1111110010000000001…
…01110011010111100101
31220211121201101001221100
413321000011303113211
532341002213022440
61053034021310313
754114145442505
oct7710005632745
91824551331840
10542241142245
11199a65a96910
128910b565399
133c1966083ba
141c35d2dba05
15e189262230
hex7e401735e5

542241142245 has 48 divisors (see below), whose sum is σ = 1025468406144. Its totient is φ = 262868976000.

The previous prime is 542241142229. The next prime is 542241142279.

542241142245 is a `hidden beast` number, since 5 + 4 + 224 + 1 + 1 + 422 + 4 + 5 = 666.

542241142245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542241142245 - 24 = 542241142229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3761040 + ... + 3902550.

It is an arithmetic number, because the mean of its divisors is an integer number (21363925128).

Almost surely, 2542241142245 is an apocalyptic number.

542241142245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542241142245 is a deficient number, since it is larger than the sum of its proper divisors (483227263899).

542241142245 is a wasteful number, since it uses less digits than its factorization.

542241142245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149274 (or 149271 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 542241 and 142245, that added together give a palindrome (684486).

The spelling of 542241142245 in words is "five hundred forty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 7741 23223 38705 69669 85151 116115 141511 255453 348345 424533 425755 707555 766359 1273599 1277265 1556621 2122665 3831795 4669863 6367995 7783105 14009589 23349315 70047945 1095436651 3286309953 5477183255 9858929859 12049803161 16431549765 36149409483 49294649295 60249015805 108448228449 180747047415 542241142245