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5700142338 = 2311599715091
BaseRepresentation
bin1010100111100000…
…10100010100000010
3112201020211020021220
411103300110110002
543133214023323
62341341455510
7261153260532
oct52360242402
915636736256
105700142338
112465644340
121130b71596
136cac1a9b7
143c10754c2
152356560e3
hex153c14502

5700142338 has 64 divisors (see below), whose sum is σ = 12778698240. Its totient is φ = 1680422400.

The previous prime is 5700142309. The next prime is 5700142339. The reversal of 5700142338 is 8332410075.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5700142299 and 5700142308.

It is not an unprimeable number, because it can be changed into a prime (5700142339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370173 + ... + 385263.

It is an arithmetic number, because the mean of its divisors is an integer number (199667160).

Almost surely, 25700142338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5700142338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389349120).

5700142338 is an abundant number, since it is smaller than the sum of its proper divisors (7078555902).

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

5700142338 is a wasteful number, since it uses less digits than its factorization.

5700142338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5700142338 is about 75499.2870032559. The cubic root of 5700142338 is about 1786.3308566279.

The spelling of 5700142338 in words is "five billion, seven hundred million, one hundred forty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 59 66 97 118 177 194 291 354 582 649 1067 1298 1947 2134 3201 3894 5723 6402 11446 15091 17169 30182 34338 45273 62953 90546 125906 166001 188859 332002 377718 498003 890369 996006 1463827 1780738 2671107 2927654 4391481 5342214 8782962 9794059 16102097 19588118 29382177 32204194 48306291 58764354 86365793 96612582 172731586 259097379 518194758 950023723 1900047446 2850071169 5700142338