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1330314351432 = 2331125391984667
BaseRepresentation
bin10011010110111100111…
…010100001001101001000
311201011202220011001200220
4103112330322201031020
5133243440433221212
62455045445230040
7165053300261613
oct23267472411510
94634686131626
101330314351432
114732018520a0
121959a7702320
13985a96436b1
144855d66117a
152491044538c
hex135bcea1348

1330314351432 has 64 divisors (see below), whose sum is σ = 3629560838400. Its totient is φ = 402966584640.

The previous prime is 1330314351403. The next prime is 1330314351449. The reversal of 1330314351432 is 2341534130331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1330314351393 and 1330314351402.

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, 322038 + ... + 1662629.

It is an arithmetic number, because the mean of its divisors is an integer number (56711888100).

Almost surely, 21330314351432 is an apocalyptic number.

1330314351432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330314351432 is an abundant number, since it is smaller than the sum of its proper divisors (2299246486968).

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

1330314351432 is a wasteful number, since it uses less digits than its factorization.

1330314351432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987226 (or 1987222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 1330314351432 its reverse (2341534130331), we get a palindrome (3671848481763).

The spelling of 1330314351432 in words is "one trillion, three hundred thirty billion, three hundred fourteen million, three hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2539 5078 7617 10156 15234 20312 27929 30468 55858 60936 83787 111716 167574 223432 335148 670296 1984667 3969334 5954001 7938668 11908002 15877336 21831337 23816004 43662674 47632008 65494011 87325348 130988022 174650696 261976044 523952088 5039069513 10078139026 15117208539 20156278052 30234417078 40312556104 55429764643 60468834156 110859529286 120937668312 166289293929 221719058572 332578587858 443438117144 665157175716 1330314351432