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642142131132 = 2232911511603159
BaseRepresentation
bin10010101100000101010…
…01110101001110111100
32021101110222201010110210
421112002221311032330
541010101341144012
61210555050232420
764251611025045
oct11260251651674
92241428633423
10642142131132
11228370546447
12a4550125710
134872775c488
14231191478cc
1511a8494023c
hex9582a753bc

642142131132 has 48 divisors (see below), whose sum is σ = 1551345868800. Its totient is φ = 206486750400.

The previous prime is 642142131067. The next prime is 642142131167. The reversal of 642142131132 is 231131241246.

642142131132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 642142131132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401032 + ... + 1202127.

It is an arithmetic number, because the mean of its divisors is an integer number (32319705600).

Almost surely, 2642142131132 is an apocalyptic number.

It is an amenable number.

642142131132 is an abundant number, since it is smaller than the sum of its proper divisors (909203737668).

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

642142131132 is a wasteful number, since it uses less digits than its factorization.

642142131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604346 (or 1604344 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 642142131132 its reverse (231131241246), we get a palindrome (873273372378).

The spelling of 642142131132 in words is "six hundred forty-two billion, one hundred forty-two million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1151 2302 3453 4604 6906 13812 33379 66758 100137 133516 200274 400548 1603159 3206318 4809477 6412636 9618954 19237908 46491611 92983222 139474833 185966444 278949666 557899332 1845236009 3690472018 5535708027 7380944036 11071416054 22142832108 53511844261 107023688522 160535532783 214047377044 321071065566 642142131132