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1142402415 = 3572111011399
BaseRepresentation
bin100010000010111…
…1010110101101111
32221121122001111120
41010011322311233
54314423334130
6305205352023
740211155200
oct10405726557
92847561446
101142402415
11536946930
1227a708613
131528a8b7b
14aba195a7
156a45e910
hex4417ad6f

1142402415 has 96 divisors (see below), whose sum is σ = 2344204800. Its totient is φ = 469728000.

The previous prime is 1142402407. The next prime is 1142402441. The reversal of 1142402415 is 5142042411.

It is not a de Polignac number, because 1142402415 - 23 = 1142402407 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 815886 + ... + 817284.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 21142402415 is an apocalyptic number.

1142402415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1142402415 is an abundant number, since it is smaller than the sum of its proper divisors (1201802385).

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

1142402415 is a wasteful number, since it uses less digits than its factorization.

1142402415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1142402415 is about 33799.4440043028. Note that the first 3 decimals coincide. The cubic root of 1142402415 is about 1045.3772330673.

Adding to 1142402415 its reverse (5142042411), we get a palindrome (6284444826).

The spelling of 1142402415 in words is "one billion, one hundred forty-two million, four hundred two thousand, four hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 101 105 147 165 231 245 303 385 505 539 707 735 1111 1155 1399 1515 1617 2121 2695 3333 3535 4197 4949 5555 6995 7777 8085 9793 10605 14847 15389 16665 20985 23331 24745 29379 38885 46167 48965 54439 68551 74235 76945 107723 116655 141299 146895 163317 205653 230835 272195 323169 342755 423897 538615 706495 754061 816585 989093 1028265 1554289 1615845 2119485 2262183 2967279 3770305 4662867 4945465 6923651 7771445 10880023 11310915 14836395 20770953 23314335 32640069 34618255 54400115 76160161 103854765 163200345 228480483 380800805 1142402415