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253123140140 = 225132115364951
BaseRepresentation
bin1110101110111101010…
…0001001101000101100
3220012100120211210222022
43223233110021220230
513121344010441030
6312141055205312
724200425122413
oct3535724115054
9805316753868
10253123140140
1198392460702
1241082516838
131ab3c129700
14c37351047a
1568b70d3de5
hex3aef509a2c

253123140140 has 72 divisors (see below), whose sum is σ = 576101117088. Its totient is φ = 93378355200.

The previous prime is 253123140139. The next prime is 253123140163. The reversal of 253123140140 is 41041321352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3864665 + ... + 3929615.

It is an arithmetic number, because the mean of its divisors is an integer number (8001404404).

Almost surely, 2253123140140 is an apocalyptic number.

253123140140 is a gapful number since it is divisible by the number (20) 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 253123140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288050558544).

253123140140 is an abundant number, since it is smaller than the sum of its proper divisors (322977976948).

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

253123140140 is a wasteful number, since it uses less digits than its factorization.

253123140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66139 (or 66124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 253123140140 its reverse (41041321352), we get a palindrome (294164461492).

The spelling of 253123140140 in words is "two hundred fifty-three billion, one hundred twenty-three million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1153 1690 2306 3380 4612 5765 11530 14989 23060 29978 59956 64951 74945 129902 149890 194857 259804 299780 324755 389714 649510 779428 844363 974285 1299020 1688726 1948570 3377452 3897140 4221815 8443630 10976719 16887260 21953438 43906876 54883595 74888503 109767190 149777006 219534380 299554012 374442515 748885030 973550539 1497770060 1947101078 3894202156 4867752695 9735505390 12656157007 19471010780 25312314014 50624628028 63280785035 126561570070 253123140140