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4440018186240 = 21235713337127
BaseRepresentation
bin100000010011100010110…
…1101001111000000000000
3120201110110111112120020220
41000213011231033000000
51040221124123424430
613235414410503040
7635531534611050
oct100470555170000
916643414476226
104440018186240
11146200157365a
125b8609134a80
132628cc1b6000
14114c80285560
157a765c7e110
hex409c5b4f000

4440018186240 has 1664 divisors, whose sum is σ = 18205754327040. Its totient is φ = 904299282432.

The previous prime is 4440018186179. The next prime is 4440018186283. The reversal of 4440018186240 is 426818100444.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×44400181862402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4440018186192 and 4440018186201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34960773057 + ... + 34960773183.

Almost surely, 24440018186240 is an apocalyptic number.

4440018186240 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 4440018186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102877163520).

4440018186240 is an abundant number, since it is smaller than the sum of its proper divisors (13765736140800).

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

4440018186240 is a wasteful number, since it uses less digits than its factorization.

4440018186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 4440018186240 in words is "four trillion, four hundred forty billion, eighteen million, one hundred eighty-six thousand, two hundred forty".