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120073327344 = 2433793518323
BaseRepresentation
bin110111111010011101…
…1011001001011110000
3102110221010011000201000
41233310323121023300
53431402232433334
6131054432042000
711450346304515
oct1576473311360
9373833130630
10120073327344
1146a17299033
121b330393300
13b42744c529
145b50d9330c
1531cb63c299
hex1bf4ed92f0

120073327344 has 80 divisors (see below), whose sum is σ = 349017740800. Its totient is φ = 39517792704.

The previous prime is 120073327343. The next prime is 120073327379. The reversal of 120073327344 is 443723370021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120073327299 and 120073327308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120073327343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725034 + ... + 1793289.

It is an arithmetic number, because the mean of its divisors is an integer number (4362721760).

Almost surely, 2120073327344 is an apocalyptic number.

It is an amenable number.

120073327344 is an abundant number, since it is smaller than the sum of its proper divisors (228944413456).

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

120073327344 is a wasteful number, since it uses less digits than its factorization.

120073327344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518419 (or 3518407 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 120073327344 its reverse (443723370021), we get a palindrome (563796697365).

The spelling of 120073327344 in words is "one hundred twenty billion, seventy-three million, three hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 8532 11376 17064 34128 3518323 7036646 10554969 14073292 21109938 28146584 31664907 42219876 56293168 63329814 84439752 94994721 126659628 168879504 189989442 253319256 277947517 379978884 506638512 555895034 759957768 833842551 1111790068 1519915536 1667685102 2223580136 2501527653 3335370204 4447160272 5003055306 6670740408 7504582959 10006110612 13341480816 15009165918 20012221224 30018331836 40024442448 60036663672 120073327344