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5142226432 = 2973121493
BaseRepresentation
bin1001100101000000…
…00010011000000000
3111021101000011112211
410302200002120000
541012402221212
62210131431504
7241300126540
oct46240023000
914241004484
105142226432
1121a971a912
12bb6155594
1363c468445
1436ad25320
1520169c9a7
hex132802600

5142226432 has 120 divisors (see below), whose sum is σ = 12141307728. Its totient is φ = 2131292160.

The previous prime is 5142226421. The next prime is 5142226457. The reversal of 5142226432 is 2346222415.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 5142226394 and 5142226403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3443478 + ... + 3444970.

Almost surely, 25142226432 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 5142226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070653864).

5142226432 is an abundant number, since it is smaller than the sum of its proper divisors (6999081296).

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

5142226432 is an equidigital number, since it uses as much as digits as its factorization.

5142226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1533 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 5142226432 is about 71709.3190038784. The cubic root of 5142226432 is about 1726.0381828069.

Adding to 5142226432 its reverse (2346222415), we get a palindrome (7488448847).

The spelling of 5142226432 in words is "five billion, one hundred forty-two million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 961 992 1493 1736 1792 1922 1984 2986 3472 3584 3844 3968 5972 6727 6944 7688 7936 10451 11944 13454 13888 15376 15872 20902 23888 26908 27776 30752 41804 46283 47776 53816 55552 61504 83608 92566 95552 107632 111104 123008 167216 185132 191104 215264 246016 323981 334432 370264 382208 430528 492032 647962 668864 740528 764416 861056 1295924 1337728 1434773 1481056 1722112 2591848 2675456 2869546 2962112 3444224 5183696 5350912 5739092 5924224 10043411 10367392 11478184 11848448 20086822 20734784 22956368 23696896 40173644 41469568 45912736 80347288 82939136 91825472 160694576 165878272 183650944 321389152 367301888 642778304 734603776 1285556608 2571113216 5142226432