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1348013481480 = 233351248160631
BaseRepresentation
bin10011100111011011110…
…111010101111000001000
311202212110101012000202000
4103213123313111320020
5134041212422401410
62511134023111000
7166251013352061
oct23473367257010
94685411160660
101348013481480
1147a7645164a6
12199306ba2460
139a16a430203
144935c12d568
15250e91bbdc0
hex139dbdd5e08

1348013481480 has 64 divisors (see below), whose sum is σ = 4493378275200. Its totient is φ = 359470261440.

The previous prime is 1348013481461. The next prime is 1348013481491. The reversal of 1348013481480 is 841843108431.

1348013481480 is a `hidden beast` number, since 1 + 3 + 4 + 80 + 13 + 4 + 81 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624079236 + ... + 624081395.

It is an arithmetic number, because the mean of its divisors is an integer number (70209035550).

Almost surely, 21348013481480 is an apocalyptic number.

1348013481480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348013481480 is an abundant number, since it is smaller than the sum of its proper divisors (3145364793720).

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

1348013481480 is a wasteful number, since it uses less digits than its factorization.

1348013481480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248160651 (or 1248160641 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1348013481480 in words is "one trillion, three hundred forty-eight billion, thirteen million, four hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1248160631 2496321262 3744481893 4992642524 6240803155 7488963786 9985285048 11233445679 12481606310 14977927572 18722409465 22466891358 24963212620 29955855144 33700337037 37444818930 44933782716 49926425240 56167228395 67400674074 74889637860 89867565432 112334456790 134801348148 149779275720 168501685185 224668913580 269602696296 337003370370 449337827160 674006740740 1348013481480