Search a number
-
+
145540344202452 = 223214867271930271
BaseRepresentation
bin100001000101111001000000…
…100001000100010011010100
3201002022112001211022012202100
4201011321000201010103110
5123034013111103434302
61233312151111042100
742440641256011233
oct4105710041042324
9632275054265670
10145540344202452
114241234a089681
12143a683a970330
13632951b0ab374
1427d2294062b1a
1511c5c89668d1c
hex845e408444d4

145540344202452 has 36 divisors (see below), whose sum is σ = 367918394852736. Its totient is φ = 48510184725840.

The previous prime is 145540344202399. The next prime is 145540344202453. The reversal of 145540344202452 is 254202443045541.

145540344202452 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 40 + 344 + 20 + 245 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 145540344202398 and 145540344202407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145540344202453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135429924 + ... + 136500347.

It is an arithmetic number, because the mean of its divisors is an integer number (10219955412576).

Almost surely, 2145540344202452 is an apocalyptic number.

145540344202452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145540344202452 is an abundant number, since it is smaller than the sum of its proper divisors (222378050650284).

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

145540344202452 is a wasteful number, since it uses less digits than its factorization.

145540344202452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271945148 (or 271945143 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 145540344202452 its reverse (254202443045541), we get a palindrome (399742787247993).

The spelling of 145540344202452 in words is "one hundred forty-five trillion, five hundred forty billion, three hundred forty-four million, two hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14867 29734 44601 59468 89202 133803 178404 267606 535212 271930271 543860542 815790813 1087721084 1631581626 2447372439 3263163252 4894744878 9789489756 4042787338957 8085574677914 12128362016871 16171149355828 24256724033742 36385086050613 48513448067484 72770172101226 145540344202452