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34440122420442 = 2333122392258071
BaseRepresentation
bin1111101010010101101110…
…10000110100110011011010
311111221102222100100222012000
413311022313100310303122
514003231332314423232
6201125323540101430
710153134224266134
oct765126720646332
9144842870328160
1034440122420442
11aa78a79288382
123a42887394876
13162a8c70bc0ab
14870ca7406054
153eaceec9727c
hex1f52b7434cda

34440122420442 has 64 divisors (see below), whose sum is σ = 79356703211520. Its totient is φ = 11059897431600.

The previous prime is 34440122420371. The next prime is 34440122420513. The reversal of 34440122420442 is 24402422104443.

34440122420442 is a `hidden beast` number, since 3 + 4 + 4 + 401 + 2 + 2 + 4 + 204 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (34440122420371) and next prime (34440122420513).

It is a super-2 number, since 2×344401224204422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34440122420397 and 34440122420406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45755734 + ... + 46502337.

It is an arithmetic number, because the mean of its divisors is an integer number (1239948487680).

Almost surely, 234440122420442 is an apocalyptic number.

34440122420442 is an abundant number, since it is smaller than the sum of its proper divisors (44916580791078).

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

34440122420442 is a wasteful number, since it uses less digits than its factorization.

34440122420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92258336 (or 92258330 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 34440122420442 its reverse (24402422104443), we get a palindrome (58842544524885).

The spelling of 34440122420442 in words is "thirty-four trillion, four hundred forty billion, one hundred twenty-two million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 223 279 446 558 669 837 1338 1674 2007 4014 6021 6913 12042 13826 20739 41478 62217 124434 186651 373302 92258071 184516142 276774213 553548426 830322639 1660645278 2490967917 2860000201 4981935834 5720000402 8580000603 17160001206 20573549833 25740001809 41147099666 51480003618 61720649499 77220005427 123441298998 154440010854 185161948497 370323896994 555485845491 637780044823 1110971690982 1275560089646 1913340134469 3826680268938 5740020403407 11480040806814 17220061210221 34440122420442