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240312320012412 = 22332711278206907
BaseRepresentation
bin110110101001000000010010…
…011110000011000001111100
31011111212122002202202120111000
4312221000102132003001330
5222444234112410344122
62211033542235330300
7101421664212600354
oct6651002236030174
91144778082676430
10240312320012412
116a63097879935a
1222b521798b0990
13a41247bc037cb
14434b26d561b64
151cbb11cd4e0ac
hexda901278307c

240312320012412 has 48 divisors (see below), whose sum is σ = 623034314622720. Its totient is φ = 80103801461616.

The previous prime is 240312320012309. The next prime is 240312320012431. The reversal of 240312320012412 is 214210023213042.

240312320012412 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 1 + 232 + 0 + 0 + 12 + 412 = 666.

It is a super-2 number, since 2×2403123200124122 (a number of 30 digits) contains 22 as substring.

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, 25178263 + ... + 33385169.

It is an arithmetic number, because the mean of its divisors is an integer number (12979881554640).

Almost surely, 2240312320012412 is an apocalyptic number.

It is an amenable number.

240312320012412 is an abundant number, since it is smaller than the sum of its proper divisors (382721994610308).

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

240312320012412 is a wasteful number, since it uses less digits than its factorization.

240312320012412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478047 (or 8478039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 240312320012412 its reverse (214210023213042), we get a palindrome (454522343225454).

The spelling of 240312320012412 in words is "two hundred forty trillion, three hundred twelve billion, three hundred twenty million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271127 542254 813381 1084508 1626762 2440143 3253524 4880286 7320429 8206907 9760572 14640858 16413814 24620721 29281716 32827628 49241442 73862163 98482884 147724326 221586489 295448652 443172978 886345956 2225114074189 4450228148378 6675342222567 8900456296756 13350684445134 20026026667701 26701368890268 40052053335402 60078080003103 80104106670804 120156160006206 240312320012412