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40163143680 = 212345113171
BaseRepresentation
bin100101011001111010…
…001111000000000000
310211200001001002120000
4211121322033000000
51124223231044210
630241203320000
72621165042232
oct453172170000
9124601032500
1040163143680
1116040058330
12794a680000
133a30b03b9a
141d30118252
1510a0eb0ac0
hex959e8f000

40163143680 has 1040 divisors, whose sum is σ = 164413421568. Its totient is φ = 9289728000.

The previous prime is 40163143663. The next prime is 40163143687. The reversal of 40163143680 is 8634136104.

It is a happy number.

It is a super-2 number, since 2×401631436802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40163143687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 565678045 + ... + 565678115.

Almost surely, 240163143680 is an apocalyptic number.

40163143680 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 40163143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82206710784).

40163143680 is an abundant number, since it is smaller than the sum of its proper divisors (124250277888).

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

40163143680 is a wasteful number, since it uses less digits than its factorization.

40163143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 40163143680 its reverse (8634136104), we get a palindrome (48797279784).

The spelling of 40163143680 in words is "forty billion, one hundred sixty-three million, one hundred forty-three thousand, six hundred eighty".