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423540890720640 = 273757311223317
BaseRepresentation
bin110000001001101010100110…
…0010101101101100110000000
32001112122010001220022110000000
41200103111030111231212000
5421003243221011030030
64100443555450000000
7155132551051332000
oct14023251425554600
92045563056273000
10423540890720640
11112a5375713a500
123b60508b416000
1315243971c59824
1476836ba5b2000
1533e740d11a860
hex181354c56d980

423540890720640 has 6144 divisors, whose sum is σ = 2037582812160000. Its totient is φ = 83916481904640.

The previous prime is 423540890720611. The next prime is 423540890720641. The reversal of 423540890720640 is 46027098045324.

It is a happy number.

423540890720640 is a `hidden beast` number, since 4 + 2 + 3 + 540 + 8 + 90 + 7 + 2 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×4235408907206402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423540890720641) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1336091137762 + ... + 1336091138078.

It is an arithmetic number, because the mean of its divisors is an integer number (331637827500).

Almost surely, 2423540890720640 is an apocalyptic number.

423540890720640 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 423540890720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018791406080000).

423540890720640 is an abundant number, since it is smaller than the sum of its proper divisors (1614041921439360).

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

423540890720640 is an equidigital number, since it uses as much as digits as its factorization.

423540890720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 423540890720640 in words is "four hundred twenty-three trillion, five hundred forty billion, eight hundred ninety million, seven hundred twenty thousand, six hundred forty".