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35143420512 = 2533722074483
BaseRepresentation
bin100000101110101101…
…100000101001100000
310100201012112201220010
4200232231200221200
51033433203424022
624051125244520
72352613100634
oct405655405140
9110635481803
1035143420512
11139a45a9a92
126989563740
133410b5aba5
1419b55a0dc4
15daa46050c
hex82eb60a60

35143420512 has 96 divisors (see below), whose sum is σ = 94808835072. Its totient is φ = 11390160384.

The previous prime is 35143420483. The next prime is 35143420517. The reversal of 35143420512 is 21502434153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 35143420512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35143420517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7837023 + ... + 7841505.

It is an arithmetic number, because the mean of its divisors is an integer number (987592032).

Almost surely, 235143420512 is an apocalyptic number.

35143420512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35143420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47404417536).

35143420512 is an abundant number, since it is smaller than the sum of its proper divisors (59665414560).

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

35143420512 is a wasteful number, since it uses less digits than its factorization.

35143420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 35143420512 its reverse (21502434153), we get a palindrome (56645854665).

The spelling of 35143420512 in words is "thirty-five billion, one hundred forty-three million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 2207 3552 4414 4483 6621 8828 8966 13242 13449 17656 17932 26484 26898 35312 35864 52968 53796 70624 71728 81659 105936 107592 143456 163318 165871 211872 215184 244977 326636 331742 430368 489954 497613 653272 663484 979908 995226 1306544 1326968 1959816 1990452 2613088 2653936 3919632 3980904 5307872 7839264 7961808 9893981 15923616 19787962 29681943 39575924 59363886 79151848 118727772 158303696 237455544 316607392 366077297 474911088 732154594 949822176 1098231891 1464309188 2196463782 2928618376 4392927564 5857236752 8785855128 11714473504 17571710256 35143420512