Search a number
-
+
114133026042 = 23273118233539
BaseRepresentation
bin110101001001011011…
…0111100010011111010
3101220121010102110020200
41222102312330103322
53332221023313132
6124233150503030
711150215500030
oct1522266742372
9356533373220
10114133026042
1144449132812
121a152b04a76
13a9bb856549
14574a084550
152e7ed97d7c
hex1a92dbc4fa

114133026042 has 96 divisors (see below), whose sum is σ = 283948554240. Its totient is φ = 32455913760.

The previous prime is 114133025977. The next prime is 114133026101. The reversal of 114133026042 is 240620331411.

It is a happy number.

114133026042 is a `hidden beast` number, since 1 + 14 + 13 + 30 + 2 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114133025997 and 114133026015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32248309 + ... + 32251847.

It is an arithmetic number, because the mean of its divisors is an integer number (2957797440).

Almost surely, 2114133026042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114133026042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141974277120).

114133026042 is an abundant number, since it is smaller than the sum of its proper divisors (169815528198).

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

114133026042 is a wasteful number, since it uses less digits than its factorization.

114133026042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114133026042 its reverse (240620331411), we get a palindrome (354753357453).

The spelling of 114133026042 in words is "one hundred fourteen billion, one hundred thirty-three million, twenty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 823 933 1646 1866 2177 2469 2799 3539 4354 4938 5598 5761 6531 7078 7407 10617 11522 13062 14814 17283 19593 21234 24773 31851 34566 39186 49546 51849 63702 74319 103698 148638 222957 255953 445914 511906 767859 1100629 1535718 1791671 2201258 2303577 2912597 3301887 3583342 4607154 5375013 5825194 6603774 7704403 8737791 9905661 10750026 15408806 16125039 17475582 19811322 20388179 23113209 26213373 32250078 40776358 46226418 52426746 61164537 69339627 122329074 138679254 183493611 366987222 905817667 1811635334 2717453001 5434906002 6340723669 8152359003 12681447338 16304718006 19022171007 38044342014 57066513021 114133026042