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7242031104 = 21337114389
BaseRepresentation
bin1101011111010100…
…01010000000000000
3200200201011022001020
412233222022000000
5104312424443404
63154341505440
7344315151210
oct65752120000
920621138036
107242031104
113086a35180
1214a1412280
138b54b8409
144c9b60240
152c5bc6ed9
hex1afa8a000

7242031104 has 448 divisors, whose sum is σ = 24912645120. Its totient is φ = 1816657920.

The previous prime is 7242031087. The next prime is 7242031129. The reversal of 7242031104 is 4011302427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×72420311042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81371092 + ... + 81371180.

Almost surely, 27242031104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456322560).

7242031104 is an abundant number, since it is smaller than the sum of its proper divisors (17670614016).

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

7242031104 is a wasteful number, since it uses less digits than its factorization.

7242031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7242031104 is about 85100.1239952093. The cubic root of 7242031104 is about 1934.7289427955.

The spelling of 7242031104 in words is "seven billion, two hundred forty-two million, thirty-one thousand, one hundred four".