Search a number
-
+
10242141120042 = 23133712491284117
BaseRepresentation
bin1001010100001010111100…
…1011101110011000101010
31100021010202102110122100120
42111002233023232120222
52320301401111320132
633441101421344110
72104653543040506
oct225025713563052
940233672418316
1010242141120042
113299738717457
121194bb4408036
13593aa2cb4390
14275a17ccd306
1512b64cd3a02c
hex950af2ee62a

10242141120042 has 64 divisors (see below), whose sum is σ = 22658105925504. Its totient is φ = 3065998037760.

The previous prime is 10242141119963. The next prime is 10242141120047. The reversal of 10242141120042 is 24002114124201.

It is a happy number.

10242141120042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10242141119994 and 10242141120021.

It is not an unprimeable number, because it can be changed into a prime (10242141120047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35906968 + ... + 36191084.

It is an arithmetic number, because the mean of its divisors is an integer number (354032905086).

Almost surely, 210242141120042 is an apocalyptic number.

10242141120042 is an abundant number, since it is smaller than the sum of its proper divisors (12415964805462).

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

10242141120042 is a wasteful number, since it uses less digits than its factorization.

10242141120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296663.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10242141120042 its reverse (24002114124201), we get a palindrome (34244255244243).

The spelling of 10242141120042 in words is "ten trillion, two hundred forty-two billion, one hundred forty-one million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 1443 2886 12491 24982 37473 74946 162383 284117 324766 462167 487149 568234 852351 924334 974298 1386501 1704702 2773002 3693521 6008171 7387042 10512329 11080563 12016342 18024513 21024658 22161126 31536987 36049026 63073974 136660277 273320554 409980831 819961662 3548905447 7097810894 10646716341 21293432682 46135770811 92271541622 131309501539 138407312433 262619003078 276814624866 393928504617 787857009234 1707023520007 3414047040014 5121070560021 10242141120042