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7454232940 = 22571161731087
BaseRepresentation
bin1101111000100111…
…01001000101101100
3201020111110021020111
412330103221011230
5110231240423230
63231402025404
7352502635360
oct67423510554
921214407214
107454232940
1131857a15a0
1215404a8264
1391a45552b
14509ddb2a0
152d964192a
hex1bc4e916c

7454232940 has 192 divisors, whose sum is σ = 20126711808. Its totient is φ = 2251929600.

The previous prime is 7454232911. The next prime is 7454232949. The reversal of 7454232940 is 492324547.

It is a junction number, because it is equal to n+sod(n) for n = 7454232893 and 7454232902.

It is not an unprimeable number, because it can be changed into a prime (7454232949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6857077 + ... + 6858163.

It is an arithmetic number, because the mean of its divisors is an integer number (104826624).

Almost surely, 27454232940 is an apocalyptic number.

7454232940 is a gapful number since it is divisible by the number (70) 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 7454232940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063355904).

7454232940 is an abundant number, since it is smaller than the sum of its proper divisors (12672478868).

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

7454232940 is a wasteful number, since it uses less digits than its factorization.

7454232940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 7454232940 is about 86337.8997891424. The cubic root of 7454232940 is about 1953.4440944725. Note that the first 3 decimals are identical.

The spelling of 7454232940 in words is "seven billion, four hundred fifty-four million, two hundred thirty-two thousand, nine hundred forty".