Search a number
-
+
132341322024234 = 23367199223824269
BaseRepresentation
bin11110000101110100011101…
…011111010000010100101010
3122100120201002021110111022000
4132011310131133100110222
5114321240011414233414
61145244433010311430
736606226221433101
oct3605643537202452
9570521067414260
10132341322024234
1139193704173764
1212a14774b88576
1358ac96b87726b
1424974d5b73038
15104777c80cb09
hex785d1d7d052a

132341322024234 has 128 divisors (see below), whose sum is σ = 301326735360000. Its totient is φ = 43043050759104.

The previous prime is 132341322024227. The next prime is 132341322024253. The reversal of 132341322024234 is 432420223143231.

132341322024234 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 1 + 3 + 220 + 2 + 423 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160143852 + ... + 160968120.

It is an arithmetic number, because the mean of its divisors is an integer number (2354115120000).

Almost surely, 2132341322024234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132341322024234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663367680000).

132341322024234 is an abundant number, since it is smaller than the sum of its proper divisors (168985413335766).

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

132341322024234 is a wasteful number, since it uses less digits than its factorization.

132341322024234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824769 (or 824763 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132341322024234 its reverse (432420223143231), we get a palindrome (564761545167465).

The spelling of 132341322024234 in words is "one hundred thirty-two trillion, three hundred forty-one billion, three hundred twenty-two million, twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 134 199 201 223 398 402 446 597 603 669 1194 1206 1338 1791 1809 2007 3582 3618 4014 5373 6021 10746 12042 13333 14941 26666 29882 39999 44377 44823 79998 88754 89646 119997 133131 134469 239994 266262 268938 359991 399393 403407 719982 798786 806814 824269 1198179 1648538 2396358 2472807 2973259 4945614 5946518 7418421 8919777 14836842 17839554 22255263 26759331 44510526 53518662 55226023 80277993 110452046 160555986 164029531 165678069 183811987 328059062 331356138 367623974 492088593 497034207 551435961 984177186 994068414 1102871922 1476265779 1491102621 1654307883 2952531558 2982205242 3308615766 4428797337 4962923649 8857594674 9925847298 10989978577 12315403129 21979957154 24630806258 32969935731 36578585413 36946209387 65939871462 73157170826 73892418774 98909807193 109735756239 110838628161 197819614386 219471512478 221677256322 296729421579 329207268717 332515884483 593458843158 658414537434 665031768966 987621806151 1975243612302 2450765222671 4901530445342 7352295668013 14704591336026 22056887004039 44113774008078 66170661012117 132341322024234