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10142144012 = 22711213230273
BaseRepresentation
bin10010111001000010…
…01101011000001100
3222011211020022001102
421130201031120030
5131232342102022
64354221202232
7506221541660
oct113441153014
928154208042
1010142144012
114334a80a00
121b70700378
13c58298660
146c2da48a0
153e55d9a92
hex25c84d60c

10142144012 has 72 divisors (see below), whose sum is σ = 24011130528. Its totient is φ = 3647508480.

The previous prime is 10142144003. The next prime is 10142144027. The reversal of 10142144012 is 21044124101.

It is a super-2 number, since 2×101421440122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71093 + ... + 159180.

It is an arithmetic number, because the mean of its divisors is an integer number (333487924).

Almost surely, 210142144012 is an apocalyptic number.

It is an amenable number.

10142144012 is an abundant number, since it is smaller than the sum of its proper divisors (13868986516).

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

10142144012 is a wasteful number, since it uses less digits than its factorization.

10142144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230319 (or 230306 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10142144012 its reverse (21044124101), we get a palindrome (31186268113).

The spelling of 10142144012 in words is "ten billion, one hundred forty-two million, one hundred forty-four thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 230273 460546 921092 1611911 2533003 2993549 3223822 5066006 5987098 6447644 10132012 11974196 17731021 20954843 27863033 32929039 35462042 41909686 55726066 65858078 70924084 83819372 111452132 131716156 195041231 230503273 362219429 390082462 461006546 724438858 780164924 922013092 1448877716 2535536003 5071072006 10142144012