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1330141313412 = 2232196101318743
BaseRepresentation
bin10011010110110010100…
…110011011100110000100
311201011022211112211011100
4103112302212123212010
5133243112134012122
62455020344340100
7165046066420602
oct23266246334604
94634284484140
101330141313412
1147312310506a
12195959774630
139857c839632
144854469a872
1524900164aac
hex135b299b984

1330141313412 has 72 divisors (see below), whose sum is σ = 3539856116160. Its totient is φ = 419974459200.

The previous prime is 1330141313411. The next prime is 1330141313461. The reversal of 1330141313412 is 2143131410331.

1330141313412 is a `hidden beast` number, since 1 + 3 + 301 + 4 + 1 + 313 + 41 + 2 = 666.

It is a super-2 number, since 2×13301413134122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330141313411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4013713 + ... + 4332455.

It is an arithmetic number, because the mean of its divisors is an integer number (49164668280).

Almost surely, 21330141313412 is an apocalyptic number.

1330141313412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330141313412 is an abundant number, since it is smaller than the sum of its proper divisors (2209714802748).

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

1330141313412 is a wasteful number, since it uses less digits than its factorization.

1330141313412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324873 (or 324868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1330141313412 its reverse (2143131410331), we get a palindrome (3473272723743).

The spelling of 1330141313412 in words is "one trillion, three hundred thirty billion, one hundred forty-one million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 6101 12202 18303 24404 36606 54909 73212 109818 115919 219636 231838 318743 347757 463676 637486 695514 956229 1043271 1274972 1391028 1912458 2086542 2868687 3824916 4173084 5737374 6056117 11474748 12112234 18168351 24224468 36336702 54505053 72673404 109010106 218020212 1944651043 3889302086 5833953129 7778604172 11667906258 17501859387 23335812516 35003718774 36948369817 70007437548 73896739634 110845109451 147793479268 221690218902 332535328353 443380437804 665070656706 1330141313412