Search a number
-
+
42243943112 = 237414832
BaseRepresentation
bin100111010101111011…
…110110101011001000
311001001001102122202122
4213111323312223020
51143003422134422
631223454150412
73023562410000
oct472573665310
9131031378678
1042243943112
1116a08671788
12822b4b2408
133ca2c2b457
14208a607000
1511739d3d42
hex9d5ef6ac8

42243943112 has 60 divisors (see below), whose sum is σ = 92465477595. Its totient is φ = 18092338992.

The previous prime is 42243943109. The next prime is 42243943123. The reversal of 42243943112 is 21134934224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21121971556 + 21121971556 = 145334^2 + 145334^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145334.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28484723 + ... + 28486205.

Almost surely, 242243943112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42243943112

42243943112 is an abundant number, since it is smaller than the sum of its proper divisors (50221534483).

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

42243943112 is an frugal number, since it uses more digits than its factorization.

42243943112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1492 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The spelling of 42243943112 in words is "forty-two billion, two hundred forty-three million, nine hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1483 2401 2744 2966 4802 5932 9604 10381 11864 19208 20762 41524 72667 83048 145334 290668 508669 581336 1017338 2034676 2199289 3560683 4069352 4398578 7121366 8797156 14242732 15395023 17594312 28485464 30790046 61580092 107765161 123160184 215530322 431060644 754356127 862121288 1508712254 3017424508 5280492889 6034849016 10560985778 21121971556 42243943112