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2144445214401 = 327231817152833
BaseRepresentation
bin11111001101001010111…
…001010010111011000001
321121000012002000000111200
4133031022321102323001
5240113310433330101
64321051115131413
7310634231366100
oct37151271227301
97530162000450
102144445214401
117574aa466336
122a7736443b69
131272b305a439
1475b12606037
153abae0b9986
hex1f34ae52ec1

2144445214401 has 36 divisors (see below), whose sum is σ = 3603388309092. Its totient is φ = 1225350733824.

The previous prime is 2144445214399. The next prime is 2144445214411. The reversal of 2144445214401 is 1044125444412.

2144445214401 is a `hidden beast` number, since 21 + 4 + 44 + 452 + 144 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1445708045376 + 698737169025 = 1202376^2 + 835905^2 .

It is not a de Polignac number, because 2144445214401 - 21 = 2144445214399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2144445214411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13954881 + ... + 14107713.

It is an arithmetic number, because the mean of its divisors is an integer number (100094119697).

Almost surely, 22144445214401 is an apocalyptic number.

2144445214401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2144445214401 is a deficient number, since it is larger than the sum of its proper divisors (1458943094691).

2144445214401 is a wasteful number, since it uses less digits than its factorization.

2144445214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184670 (or 184660 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 2144445214401 in words is "two trillion, one hundred forty-four billion, four hundred forty-five million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 31817 95451 152833 222719 286353 458499 668157 1069831 1375497 1559033 2004471 3209493 4677099 7488817 9628479 14031297 22466451 67399353 4862687561 14588062683 34038812927 43764188049 102116438781 238271690489 306349316343 714815071467 2144445214401