Search a number
-
+
1349964143190 = 234513213771983
BaseRepresentation
bin10011101001010000001…
…000100001101001010110
311210001111022200220120000
4103221100020201221112
5134104211310040230
62512055344352130
7166350240613335
oct23512010415126
94701438626500
101349964143190
11480575624513
12199770315646
139a3bb5c1400
14494a5223d1c
15251b0585b60
hex13a50221a56

1349964143190 has 240 divisors, whose sum is σ = 3959351212608. Its totient is φ = 329868744192.

The previous prime is 1349964143183. The next prime is 1349964143197. The reversal of 1349964143190 is 913414699431.

1349964143190 is a `hidden beast` number, since 1 + 3 + 499 + 6 + 4 + 143 + 1 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1349964143183) and next prime (1349964143197).

It is a super-2 number, since 2×13499641431902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349964143197) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18717939 + ... + 18789921.

Almost surely, 21349964143190 is an apocalyptic number.

1349964143190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349964143190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979675606304).

1349964143190 is an abundant number, since it is smaller than the sum of its proper divisors (2609387069418).

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

1349964143190 is a wasteful number, since it uses less digits than its factorization.

1349964143190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72165 (or 72143 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1349964143190 in words is "one trillion, three hundred forty-nine billion, nine hundred sixty-four million, one hundred forty-three thousand, one hundred ninety".