Search a number
-
+
4197999414 = 2371748712073
BaseRepresentation
bin1111101000111000…
…0110001100110110
3101211120021110120210
43322032012030312
532044141440124
61532321410250
7206013256230
oct37216061466
911746243523
104197999414
111864730104
12991a99986
1351b95822b
142bb775250
15198836a29
hexfa386336

4197999414 has 64 divisors (see below), whose sum is σ = 10181569536. Its totient is φ = 1126462464.

The previous prime is 4197999413. The next prime is 4197999419. The reversal of 4197999414 is 4149997914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197999413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341682 + ... + 353754.

It is an arithmetic number, because the mean of its divisors is an integer number (159087024).

Almost surely, 24197999414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197999414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090784768).

4197999414 is an abundant number, since it is smaller than the sum of its proper divisors (5983570122).

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

4197999414 is a wasteful number, since it uses less digits than its factorization.

4197999414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589.

The product of its digits is 2939328, while the sum is 57.

The square root of 4197999414 is about 64791.9702895351. The cubic root of 4197999414 is about 1613.1724305169.

The spelling of 4197999414 in words is "four billion, one hundred ninety-seven million, nine hundred ninety-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 487 714 974 1461 2922 3409 6818 8279 10227 12073 16558 20454 24146 24837 36219 49674 57953 72438 84511 115906 169022 173859 205241 253533 347718 410482 507066 615723 1231446 1436687 2873374 4310061 5879551 8620122 11759102 17638653 35277306 41156857 82313714 99952367 123470571 199904734 246941142 299857101 599714202 699666569 1399333138 2098999707 4197999414