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34055771440 = 2451171363533
BaseRepresentation
bin11111101101111000…
…011101010100110000
310020220101221102212011
4133231320131110300
51024221234141230
623351153212304
72313635165245
oct375570352460
9106811842764
1034055771440
1113496660159
126725261094
133299712b62
141910d595cc
15d44c18e2a
hex7ede1d530

34055771440 has 40 divisors (see below), whose sum is σ = 79247503728. Its totient is φ = 13610638080.

The previous prime is 34055771429. The next prime is 34055771447. The reversal of 34055771440 is 4417755043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34055771393 and 34055771402.

It is not an unprimeable number, because it can be changed into a prime (34055771447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88087 + ... + 275446.

Almost surely, 234055771440 is an apocalyptic number.

It is an amenable number.

34055771440 is an abundant number, since it is smaller than the sum of its proper divisors (45191732288).

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

34055771440 is a wasteful number, since it uses less digits than its factorization.

34055771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364717 (or 364711 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 34055771440 in words is "thirty-four billion, fifty-five million, seven hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1171 2342 4684 5855 9368 11710 18736 23420 46840 93680 363533 727066 1454132 1817665 2908264 3635330 5816528 7270660 14541320 29082640 425697143 851394286 1702788572 2128485715 3405577144 4256971430 6811154288 8513942860 17027885720 34055771440