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34709142601 = 72191032831279
BaseRepresentation
bin100000010100110100…
…110111110001001001
310022120221101010121001
4200110310313301021
51032041020030401
623540053215001
72336060562400
oct402464676111
9108527333531
1034709142601
11137a1451621
126888031461
133371ba7403
141973a36637
15d8227a601
hex814d37c49

34709142601 has 48 divisors (see below), whose sum is σ = 43098931200. Its totient is φ = 27790856352.

The previous prime is 34709142593. The next prime is 34709142617. The reversal of 34709142601 is 10624190743.

34709142601 is a nontrivial binomial coefficient, being equal to C(263474, 2).

It is not a de Polignac number, because 34709142601 - 23 = 34709142593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34709142691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27137080 + ... + 27138358.

It is an arithmetic number, because the mean of its divisors is an integer number (897894400).

Almost surely, 234709142601 is an apocalyptic number.

34709142601 is the 263473-rd triangular number and also the 131737-th hexagonal number.

34709142601 is the 87825-th centered nonagonal number.

It is an amenable number.

34709142601 is a deficient number, since it is larger than the sum of its proper divisors (8389788599).

34709142601 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (34709142600) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1691).

34709142601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

It can be divided in two parts, 34709 and 142601, that added together give a triangular number (177310 = T595).

The spelling of 34709142601 in words is "thirty-four billion, seven hundred nine million, one hundred forty-two thousand, six hundred one".

Divisors: 1 7 19 49 103 133 283 721 931 1279 1957 1981 5047 5377 8953 13699 13867 24301 29149 37639 62671 95893 131737 170107 204043 263473 361957 553831 922159 1190749 1428301 2503003 2533699 3876817 6455113 6877183 17521021 17735893 27137719 37281571 48140281 122647147 260970997 336981967 708349849 1826796979 4958448943 34709142601