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123230132640 = 2532585576481
BaseRepresentation
bin111001011000100010…
…1101001100110100000
3102210002010020100110200
41302301011221212200
54004333403221030
6132340001225200
711621520562506
oct1626105514640
9383063210420
10123230132640
114829721962a
121ba71632200
13b80b476364
145d70336676
153313856d60
hex1cb11699a0

123230132640 has 72 divisors (see below), whose sum is σ = 420522832548. Its totient is φ = 32861368320.

The previous prime is 123230132633. The next prime is 123230132687. The reversal of 123230132640 is 46231032321.

123230132640 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 0 + 13 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100081118736 + 23149013904 = 316356^2 + 152148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42786801 + ... + 42789680.

Almost surely, 2123230132640 is an apocalyptic number.

123230132640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123230132640 is an abundant number, since it is smaller than the sum of its proper divisors (297292699908).

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

123230132640 is a wasteful number, since it uses less digits than its factorization.

123230132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85576502 (or 85576491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123230132640 its reverse (46231032321), we get a palindrome (169461164961).

The spelling of 123230132640 in words is "one hundred twenty-three billion, two hundred thirty million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 85576481 171152962 256729443 342305924 427882405 513458886 684611848 770188329 855764810 1026917772 1283647215 1369223696 1540376658 1711529620 2053835544 2567294430 2738447392 3080753316 3423059240 3850941645 4107671088 5134588860 6161506632 6846118480 7701883290 8215342176 10269177720 12323013264 13692236960 15403766580 20538355440 24646026528 30807533160 41076710880 61615066320 123230132640