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2264355400144 = 24141522212509
BaseRepresentation
bin100000111100110110000…
…110010110100111010000
322000110200211011121000011
4200330312012112213100
5244044344440301034
64452121442404304
7322410560221255
oct40746606264720
98013624147004
102264355400144
117a33426566a2
12306a20060694
131356b2759276
147b849a4d42c
153dd7b22d864
hex20f361969d0

2264355400144 has 10 divisors (see below), whose sum is σ = 4387188587810. Its totient is φ = 1132177700064.

The previous prime is 2264355400091. The next prime is 2264355400183. The reversal of 2264355400144 is 4410045534622.

It can be written as a sum of positive squares in only one way, i.e., 1826227904400 + 438127495744 = 1351380^2 + 661912^2 .

It is a super-2 number, since 2×22643554001442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264355400097 and 2264355400106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70761106239 + ... + 70761106270.

It is an arithmetic number, because the mean of its divisors is an integer number (438718858781).

Almost surely, 22264355400144 is an apocalyptic number.

It is an amenable number.

2264355400144 is a deficient number, since it is larger than the sum of its proper divisors (2122833187666).

2264355400144 is a wasteful number, since it uses less digits than its factorization.

2264355400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141522212517 (or 141522212511 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 2264355400144 in words is "two trillion, two hundred sixty-four billion, three hundred fifty-five million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 141522212509 283044425018 566088850036 1132177700072 2264355400144