Search a number
-
+
106030264440 = 2335883585537
BaseRepresentation
bin110001010111111100…
…1010111000001111000
3101010200102122111221010
41202233321113001320
53214122221430230
6120413140313520
710442346243252
oct1425771270170
9333612574833
10106030264440
1140a70358021
12186713a28a0
139cc9c43959
1451bbcaacd2
152b5884e9b0
hex18afe57078

106030264440 has 32 divisors (see below), whose sum is σ = 318090793680. Its totient is φ = 28274737152.

The previous prime is 106030264399. The next prime is 106030264463. The reversal of 106030264440 is 44462030601.

It is a super-2 number, since 2×1060302644402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106030264398 and 106030264407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441792649 + ... + 441792888.

Almost surely, 2106030264440 is an apocalyptic number.

106030264440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106030264440 is an abundant number, since it is smaller than the sum of its proper divisors (212060529240).

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

106030264440 is a wasteful number, since it uses less digits than its factorization.

106030264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883585551 (or 883585547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 106030264440 in words is "one hundred six billion, thirty million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 883585537 1767171074 2650756611 3534342148 4417927685 5301513222 7068684296 8835855370 10603026444 13253783055 17671710740 21206052888 26507566110 35343421480 53015132220 106030264440