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214431140424 = 233192916215301
BaseRepresentation
bin1100011110110100010…
…1111000101001001000
3202111111002000120112210
43013231011320221020
512003123332443144
6242301443305120
721330542422464
oct3075505705110
9674432016483
10214431140424
1182a37874636
123568467b1a0
13172b4053717
14a5429474a4
1558a036cab9
hex31ed178a48

214431140424 has 64 divisors (see below), whose sum is σ = 583750872000. Its totient is φ = 65380089600.

The previous prime is 214431140423. The next prime is 214431140467. The reversal of 214431140424 is 424041134412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214431140391 and 214431140400.

It is not an unprimeable number, because it can be changed into a prime (214431140423) 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, 8094427 + ... + 8120874.

It is an arithmetic number, because the mean of its divisors is an integer number (9121107375).

Almost surely, 2214431140424 is an apocalyptic number.

214431140424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214431140424 is an abundant number, since it is smaller than the sum of its proper divisors (369319731576).

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

214431140424 is a wasteful number, since it uses less digits than its factorization.

214431140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16215358 (or 16215354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 214431140424 its reverse (424041134412), we get a palindrome (638472274836).

The spelling of 214431140424 in words is "two hundred fourteen billion, four hundred thirty-one million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6612 13224 16215301 32430602 48645903 64861204 97291806 129722408 194583612 308090719 389167224 470243729 616181438 924272157 940487458 1232362876 1410731187 1848544314 1880974916 2464725752 2821462374 3697088628 3761949832 5642924748 7394177256 8934630851 11285849496 17869261702 26803892553 35738523404 53607785106 71477046808 107215570212 214431140424