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10144322320 = 2451111527639
BaseRepresentation
bin10010111001010011…
…00001001100010000
3222011222022222010111
421130221201030100
5131233421303240
64354340011104
7506246213506
oct113451411420
928158288114
1010144322320
114336229560
121b71390a94
13c5887bcb2
146c33b0676
153e58ba1ea
hex25ca61310

10144322320 has 40 divisors (see below), whose sum is σ = 25729692480. Its totient is φ = 3688844160.

The previous prime is 10144322317. The next prime is 10144322323. The reversal of 10144322320 is 2322344101.

It is an interprime number because it is at equal distance from previous prime (10144322317) and next prime (10144322323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10144322291 and 10144322300.

It is not an unprimeable number, because it can be changed into a prime (10144322323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762940 + ... + 5764699.

It is an arithmetic number, because the mean of its divisors is an integer number (643242312).

Almost surely, 210144322320 is an apocalyptic number.

10144322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144322320 is an abundant number, since it is smaller than the sum of its proper divisors (15585370160).

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

10144322320 is a wasteful number, since it uses less digits than its factorization.

10144322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527663 (or 11527657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10144322320 its reverse (2322344101), we get a palindrome (12466666421).

The spelling of 10144322320 in words is "ten billion, one hundred forty-four million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11527639 23055278 46110556 57638195 92221112 115276390 126804029 184442224 230552780 253608058 461105560 507216116 634020145 922211120 1014432232 1268040290 2028864464 2536080580 5072161160 10144322320