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4291314417 = 3313373991
BaseRepresentation
bin1111111111001000…
…0100001011110001
3102002001212100201000
43333302010023301
532242034030132
61545453432213
7211225366515
oct37762041361
912061770630
104291314417
111902376045
129b919b669
1353509b000
142c9d06145
151a1b1a87c
hexffc842f1

4291314417 has 64 divisors (see below), whose sum is σ = 6988441600. Its totient is φ = 2602005120.

The previous prime is 4291314409. The next prime is 4291314421. The reversal of 4291314417 is 7144131924.

It is not a de Polignac number, because 4291314417 - 23 = 4291314409 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4291314457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4329792 + ... + 4330782.

It is an arithmetic number, because the mean of its divisors is an integer number (109194400).

Almost surely, 24291314417 is an apocalyptic number.

It is an amenable number.

4291314417 is a deficient number, since it is larger than the sum of its proper divisors (2697127183).

4291314417 is an equidigital number, since it uses as much as digits as its factorization.

4291314417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1080 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4291314417 is about 65508.1248166974. The cubic root of 4291314417 is about 1625.0377164579.

The spelling of 4291314417 in words is "four billion, two hundred ninety-one million, three hundred fourteen thousand, four hundred seventeen".

Divisors: 1 3 9 13 27 39 73 117 169 219 351 507 657 949 991 1521 1971 2197 2847 2973 4563 6591 8541 8919 12337 12883 19773 25623 26757 37011 38649 59319 72343 111033 115947 160381 167479 217029 333099 347841 481143 502437 651087 940459 1443429 1507311 1953261 2177227 2821377 4330287 4521933 6531681 8464131 12225967 19595043 25392393 36677901 58785129 110033703 158937571 330101109 476812713 1430438139 4291314417