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5351140144 = 24731283599
BaseRepresentation
bin1001111101111001…
…11110101100110000
3111210221010002021201
410332330332230300
541424342441034
62242553300544
7246414640450
oct47674765460
914727102251
105351140144
1122a6640879
121054104754
13673823a1c
1438a987d60
15214bb8014
hex13ef3eb30

5351140144 has 120 divisors (see below), whose sum is σ = 12411705600. Its totient is φ = 2188967040.

The previous prime is 5351140139. The next prime is 5351140153. The reversal of 5351140144 is 4410411535.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8933157 + ... + 8933755.

It is an arithmetic number, because the mean of its divisors is an integer number (103430880).

Almost surely, 25351140144 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 5351140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205852800).

5351140144 is an abundant number, since it is smaller than the sum of its proper divisors (7060565456).

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

5351140144 is a wasteful number, since it uses less digits than its factorization.

5351140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5351140144 is about 73151.4876403754. The cubic root of 5351140144 is about 1749.1032296802.

Adding to 5351140144 its reverse (4410411535), we get a palindrome (9761551679).

The spelling of 5351140144 in words is "five billion, three hundred fifty-one million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 166 217 248 332 434 496 581 599 664 868 961 1162 1198 1328 1736 1922 2324 2396 2573 3472 3844 4193 4648 4792 5146 6727 7688 8386 9296 9584 10292 13454 15376 16772 18011 18569 20584 26908 33544 36022 37138 41168 49717 53816 67088 72044 74276 79763 99434 107632 129983 144088 148552 159526 198868 259966 288176 297104 319052 348019 397736 519932 558341 575639 638104 696038 795472 1039864 1116682 1151278 1276208 1392076 1541227 2079728 2233364 2302556 2784152 3082454 4029473 4466728 4605112 5568304 6164908 8058946 8933456 9210224 10788589 12329816 16117892 21577178 24659632 32235784 43154356 47778037 64471568 86308712 95556074 172617424 191112148 334446259 382224296 668892518 764448592 1337785036 2675570072 5351140144