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13140346608 = 243343707383
BaseRepresentation
bin11000011110011100…
…11100011011110000
31020220202212202211000
430033032130123300
5203402412042413
610011523122000
7643426050264
oct141716343360
936822782730
1013140346608
115633423994
122668813300
1313154a0a2c
148c92600a4
1551d926073
hex30f39c6f0

13140346608 has 80 divisors (see below), whose sum is σ = 38594871040. Its totient is φ = 4278246336.

The previous prime is 13140346603. The next prime is 13140346633. The reversal of 13140346608 is 80664304131.

It is a happy number.

13140346608 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 46 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140346603) 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, 335116 + ... + 372267.

It is an arithmetic number, because the mean of its divisors is an integer number (482435888).

Almost surely, 213140346608 is an apocalyptic number.

13140346608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13140346608 is an abundant number, since it is smaller than the sum of its proper divisors (25454524432).

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

13140346608 is a wasteful number, since it uses less digits than its factorization.

13140346608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707443 (or 707431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13140346608 in words is "thirteen billion, one hundred forty million, three hundred forty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 707383 1414766 2122149 2829532 4244298 5659064 6366447 8488596 11318128 12732894 16977192 19099341 25465788 30417469 33954384 38198682 50931576 60834938 76397364 91252407 101863152 121669876 152794728 182504814 243339752 273757221 305589456 365009628 486679504 547514442 730019256 821271663 1095028884 1460038512 1642543326 2190057768 3285086652 4380115536 6570173304 13140346608