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40149493488 = 243213971271741
BaseRepresentation
bin100101011001000110…
…001010011011110000
310211122002100121000100
4211121012022123300
51124211232242423
630235554552400
72620641030606
oct453106123360
9124562317010
1040149493488
1116033384785
127945b98700
133a2b034a50
141d2c3a3876
15109ebb6343
hex95918a6f0

40149493488 has 240 divisors, whose sum is σ = 123286998016. Its totient is φ = 12123095040.

The previous prime is 40149493469. The next prime is 40149493507. The reversal of 40149493488 is 88439494104.

40149493488 is a `hidden beast` number, since 4 + 0 + 149 + 493 + 4 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40149493469) and next prime (40149493507).

It is a super-2 number, since 2×401494934882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 23060298 + ... + 23062038.

Almost surely, 240149493488 is an apocalyptic number.

40149493488 is a gapful number since it is divisible by the number (48) 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 40149493488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61643499008).

40149493488 is an abundant number, since it is smaller than the sum of its proper divisors (83137504528).

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

40149493488 is a wasteful number, since it uses less digits than its factorization.

40149493488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 40149493488 in words is "forty billion, one hundred forty-nine million, four hundred ninety-three thousand, four hundred eighty-eight".