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232142241232 = 241161101214087
BaseRepresentation
bin1101100000110011000…
…0010111110111010000
3211012012101120201101101
43120030300113313100
512300411403204412
6254351125514144
722525462331056
oct3301460276720
9735171521341
10232142241232
118a4a6274830
1238ba7b72954
1318b77471b25
14b342c501d6
15608a1ab457
hex360cc17dd0

232142241232 has 80 divisors (see below), whose sum is σ = 503648014464. Its totient is φ = 102761280000.

The previous prime is 232142241209. The next prime is 232142241251.

232142241232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232142241232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977293 + ... + 1191379.

Almost surely, 2232142241232 is an apocalyptic number.

232142241232 is a gapful number since it is divisible by the number (22) 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 232142241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251824007232).

232142241232 is an abundant number, since it is smaller than the sum of its proper divisors (271505773232).

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

232142241232 is a wasteful number, since it uses less digits than its factorization.

232142241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214268 (or 214262 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 232142 and 241232, that added together give a palindrome (473374).

The spelling of 232142241232 in words is "two hundred thirty-two billion, one hundred forty-two million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 101 122 176 202 244 404 488 671 808 976 1111 1342 1616 2222 2684 4444 5368 6161 8888 10736 12322 17776 24644 49288 67771 98576 135542 214087 271084 428174 542168 856348 1084336 1712696 2354957 3425392 4709914 9419828 13059307 18839656 21622787 26118614 37679312 43245574 52237228 86491148 104474456 143652377 172982296 208948912 237850657 287304754 345964592 475701314 574609508 951402628 1149219016 1318990007 1902805256 2298438032 2637980014 3805610512 5275960028 10551920056 14508890077 21103840112 29017780154 58035560308 116071120616 232142241232