Search a number
-
+
442254432102 = 23719836966221
BaseRepresentation
bin1100110111110000110…
…10110001011101100110
31120021112110201220221120
412123320122301131212
524221214113311402
6535100251154410
743644322435110
oct6337032613546
91507473656846
10442254432102
1116061710866a
1271866145a06
133292079caa2
1417595d3a3b0
15b7862a03bc
hex66f86b1766

442254432102 has 64 divisors (see below), whose sum is σ = 1064214028800. Its totient is φ = 119691855360.

The previous prime is 442254432097. The next prime is 442254432107. The reversal of 442254432102 is 201234452244.

It is an interprime number because it is at equal distance from previous prime (442254432097) and next prime (442254432107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442254432107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6645352 + ... + 6711572.

It is an arithmetic number, because the mean of its divisors is an integer number (16628344200).

Almost surely, 2442254432102 is an apocalyptic number.

442254432102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442254432102 is an abundant number, since it is smaller than the sum of its proper divisors (621959596698).

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

442254432102 is a wasteful number, since it uses less digits than its factorization.

442254432102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74621.

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 442254432102 its reverse (201234452244), we get a palindrome (643488884346).

The spelling of 442254432102 in words is "four hundred forty-two billion, two hundred fifty-four million, four hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 8369 16738 25107 50214 58583 66221 117166 132442 159011 175749 198663 318022 351498 397326 463547 477033 927094 954066 1113077 1258199 1390641 2226154 2516398 2781282 3339231 3774597 6678462 7549194 8807393 17614786 26422179 52844358 554203549 1108407098 1662610647 3325221294 3879424843 7758849686 10529867431 11638274529 21059734862 23276549058 31589602293 63179204586 73709072017 147418144034 221127216051 442254432102