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5141204224 = 28131981307
BaseRepresentation
bin1001100100111000…
…01000110100000000
3111021022002020100021
410302130020310000
541012122013344
62210053503224
7241255341412
oct46234106400
914238066307
105141204224
1121a9091912
12bb5941b14
1363c19b0a0
1436ab3a9b2
15201549b84
hex132708d00

5141204224 has 72 divisors (see below), whose sum is σ = 11633548640. Its totient is φ = 2247948288.

The previous prime is 5141204219. The next prime is 5141204239. The reversal of 5141204224 is 4224021415.

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 7 ways as a sum of consecutive naturals, for example, 22579 + ... + 103885.

Almost surely, 25141204224 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 5141204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816774320).

5141204224 is an abundant number, since it is smaller than the sum of its proper divisors (6492344416).

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

5141204224 is a wasteful number, since it uses less digits than its factorization.

5141204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81355 (or 81341 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 5141204224 is about 71702.1912078006. The cubic root of 5141204224 is about 1725.9238038839.

Adding to 5141204224 its reverse (4224021415), we get a palindrome (9365225639).

The spelling of 5141204224 in words is "five billion, one hundred forty-one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3328 3952 4864 7904 15808 31616 63232 81307 162614 325228 650456 1056991 1300912 1544833 2113982 2601824 3089666 4227964 5203648 6179332 8455928 10407296 12358664 16911856 20082829 20814592 24717328 33823712 40165658 49434656 67647424 80331316 98869312 135294848 160662632 197738624 270589696 321325264 395477248 642650528 1285301056 2570602112 5141204224