Search a number
-
+
141244013400024 = 23317566791610783
BaseRepresentation
bin100000000111010111101111…
…001111101100111111011000
3200112002210111010221000220110
4200013113233033230333120
5122003120214412300044
61220222334243324320
741515354215516453
oct4007275717547730
9615083433830813
10141244013400024
11410062823821a7
1213a120523806a0
1360a733a6b1672
1426c436502449a
15114e1331ce6b9
hex8075ef3ecfd8

141244013400024 has 64 divisors (see below), whose sum is σ = 373882483722240. Its totient is φ = 44311696611840.

The previous prime is 141244013400019. The next prime is 141244013400031. The reversal of 141244013400024 is 420004310442141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141244013399964 and 141244013400000.

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, 230945337 + ... + 231556119.

It is an arithmetic number, because the mean of its divisors is an integer number (5841913808160).

Almost surely, 2141244013400024 is an apocalyptic number.

It is an amenable number.

141244013400024 is an abundant number, since it is smaller than the sum of its proper divisors (232638470322216).

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

141244013400024 is a wasteful number, since it uses less digits than its factorization.

141244013400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177600 (or 1177596 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 141244013400024 its reverse (420004310442141), we get a palindrome (561248323842165).

The spelling of 141244013400024 in words is "one hundred forty-one trillion, two hundred forty-four billion, thirteen million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 566791 610783 1133582 1221566 1700373 1832349 2267164 2443132 3400746 3664698 4534328 4886264 6801492 7329396 9635447 10383311 13602984 14658792 19270894 20766622 28906341 31149933 38541788 41533244 57812682 62299866 77083576 83066488 115625364 124599732 231250728 249199464 346186307353 692372614706 1038558922059 1384745229412 2077117844118 2769490458824 4154235688236 5885167225001 8308471376472 11770334450002 17655501675003 23540668900004 35311003350006 47081337800008 70622006700012 141244013400024