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1157048144 = 24716761861
BaseRepresentation
bin100010011110111…
…0010011101010000
32222122012010122222
41010331302131100
54332201020034
6310451320212
740446514130
oct10475623520
92878163588
101157048144
1154413a43a
122835b0068
13155936195
14ad94cac0
156b8a412e
hex44f72750

1157048144 has 40 divisors (see below), whose sum is σ = 2577418368. Its totient is φ = 492900480.

The previous prime is 1157048059. The next prime is 1157048147. The reversal of 1157048144 is 4418407511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157048147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12227 + ... + 49634.

Almost surely, 21157048144 is an apocalyptic number.

1157048144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1157048144 is an abundant number, since it is smaller than the sum of its proper divisors (1420370224).

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

1157048144 is a wasteful number, since it uses less digits than its factorization.

1157048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62043 (or 62037 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 1157048144 is about 34015.4103899982. The cubic root of 1157048144 is about 1049.8255625565.

The spelling of 1157048144 in words is "one billion, one hundred fifty-seven million, forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 4676 9352 18704 61861 123722 247444 433027 494888 866054 989776 1732108 3464216 6928432 10330787 20661574 41323148 72315509 82646296 144631018 165292592 289262036 578524072 1157048144