Search a number
-
+
10144454021001 = 328276829199583
BaseRepresentation
bin1001001110011111000010…
…0101000000111110001001
31022220210121102221211202100
42103213300211000332021
52312201320212133001
633324144200024013
72064625012304466
oct223476045007611
938823542854670
1010144454021001
113261269914053
12117a091162009
13587805715bb1
14270dcc0d866d
15128d31bbe586
hex939f0940f89

10144454021001 has 24 divisors (see below), whose sum is σ = 14673040462080. Its totient is φ = 6753768660576.

The previous prime is 10144454020979. The next prime is 10144454021011. The reversal of 10144454021001 is 10012045444101.

It is a happy number.

10144454021001 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 445 + 4 + 0 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 10144454021001 - 210 = 10144454019977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144454021011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50728456 + ... + 50928038.

It is an arithmetic number, because the mean of its divisors is an integer number (611376685920).

Almost surely, 210144454021001 is an apocalyptic number.

It is an amenable number.

10144454021001 is a deficient number, since it is larger than the sum of its proper divisors (4528586441079).

10144454021001 is a wasteful number, since it uses less digits than its factorization.

10144454021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207245 (or 207242 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10144454021001 its reverse (10012045444101), we get a palindrome (20156499465102).

The spelling of 10144454021001 in words is "ten trillion, one hundred forty-four billion, four hundred fifty-four million, twenty-one thousand, one".

Divisors: 1 3 9 827 2481 6829 7443 20487 61461 199583 598749 1796247 5647583 16942749 50828247 165055141 495165423 1362952307 1485496269 4088856921 12266570763 1127161557889 3381484673667 10144454021001