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1142570064 = 243372113049
BaseRepresentation
bin100010000011010…
…0011110001010000
32221121221120110210
41010012203301100
54314444220224
6305213124120
740212454026
oct10406436120
92847846423
101142570064
11536a50889
1227a789640
1315293727c
14aba60716
156a494429
hex441a3c50

1142570064 has 80 divisors (see below), whose sum is σ = 3046779200. Its totient is φ = 368686080.

The previous prime is 1142570059. The next prime is 1142570123. The reversal of 1142570064 is 4600752411.

It is a super-2 number, since 2×11425700642 = 2610932702297928192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373212 + ... + 376260.

It is an arithmetic number, because the mean of its divisors is an integer number (38084740).

Almost surely, 21142570064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142570064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523389600).

1142570064 is an abundant number, since it is smaller than the sum of its proper divisors (1904209136).

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

1142570064 is a wasteful number, since it uses less digits than its factorization.

1142570064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1142570064 is about 33801.9239689104. The cubic root of 1142570064 is about 1045.4283673766.

The spelling of 1142570064 in words is "one billion, one hundred forty-two million, five hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 211 222 296 422 444 592 633 844 888 1266 1688 1776 2532 3049 3376 5064 6098 7807 9147 10128 12196 15614 18294 23421 24392 31228 36588 46842 48784 62456 73176 93684 112813 124912 146352 187368 225626 338439 374736 451252 643339 676878 902504 1286678 1353756 1805008 1930017 2573356 2707512 3860034 5146712 5415024 7720068 10293424 15440136 23803543 30880272 47607086 71410629 95214172 142821258 190428344 285642516 380856688 571285032 1142570064