Search a number
-
+
1387250353152 = 2103231139181193
BaseRepresentation
bin10100001011111110100…
…100001000010000000000
311220121201212021121222100
4110023332210020100000
5140212042042300102
62541143301310400
7202140233304666
oct24137644102000
94817655247870
101387250353152
11495369727974
121a4a37405400
13a0a8136c541
144b20120cc36
1526143bb1a1c
hex142fe908400

1387250353152 has 528 divisors, whose sum is σ = 4209323722240. Its totient is φ = 439536844800.

The previous prime is 1387250353141. The next prime is 1387250353163. The reversal of 1387250353152 is 2513530527831.

1387250353152 is a `hidden beast` number, since 1 + 3 + 87 + 2 + 503 + 53 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1387250353141) and next prime (1387250353163).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1387250353098 and 1387250353107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7187825568 + ... + 7187825760.

Almost surely, 21387250353152 is an apocalyptic number.

1387250353152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387250353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104661861120).

1387250353152 is an abundant number, since it is smaller than the sum of its proper divisors (2822073369088).

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

1387250353152 is a wasteful number, since it uses less digits than its factorization.

1387250353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1387250353152 in words is "one trillion, three hundred eighty-seven billion, two hundred fifty million, three hundred fifty-three thousand, one hundred fifty-two".