Search a number
-
+
144510501550410 = 23251605672239449
BaseRepresentation
bin100000110110111001111001…
…000111000111100101001010
3200221200001212022122222201100
4200312321321013013211022
5122420130001344103120
61231203112525002230
742303352641625602
oct4066717107074512
9627601768588640
10144510501550410
1142055617820596
121425b12a6b3376
136283388220048
1427984ba44dc02
1511a90b300a490
hex836e791c794a

144510501550410 has 24 divisors (see below), whose sum is σ = 375727304031300. Its totient is φ = 38536133746752.

The previous prime is 144510501550391. The next prime is 144510501550487. The reversal of 144510501550410 is 14055105015441.

144510501550410 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 10 + 50 + 1 + 550 + 41 + 0 = 666.

144510501550410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 133559094627729 + 10951406922681 = 11556777^2 + 3309291^2 .

It is a super-4 number, since 4×1445105015504104 (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802836119635 + ... + 802836119814.

Almost surely, 2144510501550410 is an apocalyptic number.

144510501550410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144510501550410 is an abundant number, since it is smaller than the sum of its proper divisors (231216802480890).

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

144510501550410 is a wasteful number, since it uses less digits than its factorization.

144510501550410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605672239462 (or 1605672239459 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 144510501550410 its reverse (14055105015441), we get a palindrome (158565606565851).

The spelling of 144510501550410 in words is "one hundred forty-four trillion, five hundred ten billion, five hundred one million, five hundred fifty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1605672239449 3211344478898 4817016718347 8028361197245 9634033436694 14451050155041 16056722394490 24085083591735 28902100310082 48170167183470 72255250775205 144510501550410