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13385142140 = 2251275779133
BaseRepresentation
bin11000111011101000…
…10000111101111100
31021112211111200011012
430131310100331330
5204403044022030
610052110014352
7652460555006
oct143564207574
937484450135
1013385142140
115749622447
1227167a73b8
131354110566
1490d983376
1553517d095
hex31dd10f7c

13385142140 has 48 divisors (see below), whose sum is σ = 28382333952. Its totient is φ = 5302112256.

The previous prime is 13385142139. The next prime is 13385142161. The reversal of 13385142140 is 4124158331.

It is a junction number, because it is equal to n+sod(n) for n = 13385142097 and 13385142106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461014 + ... + 1470146.

It is an arithmetic number, because the mean of its divisors is an integer number (591298624).

Almost surely, 213385142140 is an apocalyptic number.

13385142140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13385142140 is an abundant number, since it is smaller than the sum of its proper divisors (14997191812).

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

13385142140 is a wasteful number, since it uses less digits than its factorization.

13385142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 13385142140 in words is "thirteen billion, three hundred eighty-five million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 127 254 508 577 635 1154 1270 2308 2540 2885 5770 9133 11540 18266 36532 45665 73279 91330 146558 182660 293116 366395 732790 1159891 1465580 2319782 4639564 5269741 5799455 10539482 11598910 21078964 23197820 26348705 52697410 105394820 669257107 1338514214 2677028428 3346285535 6692571070 13385142140