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34724016140 = 225112101142067
BaseRepresentation
bin100000010101101101…
…100111000000001100
310022121222100210020212
4200111231213000030
51032103322004030
623541344101552
72336331160442
oct402555470014
9108558323225
1034724016140
11137a9890300
1268910048b8
133374cb4318
1419759c8b92
15d83717595
hex815b6700c

34724016140 has 72 divisors (see below), whose sum is σ = 80946368496. Its totient is φ = 12501808000.

The previous prime is 34724015981. The next prime is 34724016149. The reversal of 34724016140 is 4161042743.

It is a junction number, because it is equal to n+sod(n) for n = 34724016097 and 34724016106.

It is not an unprimeable number, because it can be changed into a prime (34724016149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173387 + ... + 315453.

It is an arithmetic number, because the mean of its divisors is an integer number (1124255118).

Almost surely, 234724016140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34724016140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473184248).

34724016140 is an abundant number, since it is smaller than the sum of its proper divisors (46222352356).

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

34724016140 is a wasteful number, since it uses less digits than its factorization.

34724016140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142199 (or 142186 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 34724016140 its reverse (4161042743), we get a palindrome (38885058883).

The spelling of 34724016140 in words is "thirty-four billion, seven hundred twenty-four million, sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 142067 244420 284134 568268 710335 1420670 1562737 2841340 3125474 6250948 7813685 14348767 15627370 17190107 28697534 31254740 34380214 57395068 68760428 71743835 85950535 143487670 157836437 171901070 286975340 315672874 343802140 631345748 789182185 1578364370 1736200807 3156728740 3472401614 6944803228 8681004035 17362008070 34724016140