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34014421419 = 31137151184489
BaseRepresentation
bin11111101011011010…
…101110000110101011
310020210112010122021220
4133223122232012223
51024130142441134
623343115033123
72312623545246
oct375332560653
9106715118256
1034014421419
1113475288290
12671343b7a3
133290c959a4
14190967425d
15d4129c149
hex7eb6ae1ab

34014421419 has 32 divisors (see below), whose sum is σ = 51149483520. Its totient is φ = 19924704000.

The previous prime is 34014421417. The next prime is 34014421421. The reversal of 34014421419 is 91412441043.

It is an interprime number because it is at equal distance from previous prime (34014421417) and next prime (34014421421).

It is not a de Polignac number, because 34014421419 - 21 = 34014421417 is a prime.

It is a super-3 number, since 3×340144214193 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34014421419.

It is not an unprimeable number, because it can be changed into a prime (34014421411) 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, 92127 + ... + 276615.

It is an arithmetic number, because the mean of its divisors is an integer number (1598421360).

Almost surely, 234014421419 is an apocalyptic number.

34014421419 is a deficient number, since it is larger than the sum of its proper divisors (17135062101).

34014421419 is a wasteful number, since it uses less digits than its factorization.

34014421419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184691.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 34014421419 in words is "thirty-four billion, fourteen million, four hundred twenty-one thousand, four hundred nineteen".

Divisors: 1 3 11 33 37 111 151 407 453 1221 1661 4983 5587 16761 61457 184371 184489 553467 2029379 6088137 6826093 20478279 27857839 75087023 83573517 225261069 306436229 919308687 1030740043 3092220129 11338140473 34014421419