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240420432312 = 23337115676867
BaseRepresentation
bin1101111111101000101…
…1001010100110111000
3211222120022110101201000
43133322023022212320
512414340112313222
6302240404125000
723240561645664
oct3377213124670
9758508411630
10240420432312
1192a64080265
123a718396760
1319896518148
14b8ca4518a4
1563c1d089ac
hex37fa2ca9b8

240420432312 has 64 divisors (see below), whose sum is σ = 677240697600. Its totient is φ = 79011404640.

The previous prime is 240420432299. The next prime is 240420432331. The reversal of 240420432312 is 213234024042.

240420432312 is a `hidden beast` number, since 2 + 4 + 0 + 420 + 4 + 3 + 231 + 2 = 666.

240420432312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7823098 + ... + 7853769.

It is an arithmetic number, because the mean of its divisors is an integer number (10581885900).

Almost surely, 2240420432312 is an apocalyptic number.

It is an amenable number.

240420432312 is an abundant number, since it is smaller than the sum of its proper divisors (436820265288).

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

240420432312 is a wasteful number, since it uses less digits than its factorization.

240420432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676953 (or 15676943 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240420432312 its reverse (213234024042), we get a palindrome (453654456354).

The spelling of 240420432312 in words is "two hundred forty billion, four hundred twenty million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 15336 15676867 31353734 47030601 62707468 94061202 125414936 141091803 188122404 282183606 376244808 423275409 564367212 846550818 1113057557 1128734424 1693101636 2226115114 3339172671 3386203272 4452230228 6678345342 8904460456 10017518013 13356690684 20035036026 26713381368 30052554039 40070072052 60105108078 80140144104 120210216156 240420432312