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40325078154240 = 2103551173181223
BaseRepresentation
bin10010010101100111010011…
…11101010111110000000000
312021210001002000211021100000
421022303221331113300000
520241141230001413430
6221433030221200000
711331251012545365
oct1112635175276000
9167701060737300
1040325078154240
1111937851388880
12463332b100000
13196683bb94a99
149d5a5c10a46c
1549de33d89e60
hex24ace9f57c00

40325078154240 has 2112 divisors, whose sum is σ = 161846327365632. Its totient is φ = 9545593651200.

The previous prime is 40325078154233. The next prime is 40325078154259. The reversal of 40325078154240 is 4245187052304.

40325078154240 is a `hidden beast` number, since 4 + 0 + 3 + 25 + 0 + 7 + 81 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×403250781542402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180829946769 + ... + 180829946991.

Almost surely, 240325078154240 is an apocalyptic number.

40325078154240 is a gapful number since it is divisible by the number (40) 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 40325078154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80923163682816).

40325078154240 is an abundant number, since it is smaller than the sum of its proper divisors (121521249211392).

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

40325078154240 is a wasteful number, since it uses less digits than its factorization.

40325078154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 40325078154240 in words is "forty trillion, three hundred twenty-five billion, seventy-eight million, one hundred fifty-four thousand, two hundred forty".