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4012123140 = 2232526578389
BaseRepresentation
bin1110111100100100…
…0010010000000100
3101100121111222021100
43233021002100010
531204100420030
61502041420100
7201265325004
oct35711022004
911317458240
104012123140
111779814553
1293b79a630
134bc2a777c
142a0bcc004
1518736c360
hexef242404

4012123140 has 72 divisors (see below), whose sum is σ = 12176138520. Its totient is φ = 1069369344.

The previous prime is 4012123111. The next prime is 4012123147. The reversal of 4012123140 is 413212104.

4012123140 is a `hidden beast` number, since 401 + 2 + 123 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1297296324 + 2714826816 = 36018^2 + 52104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4012123147) 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, 474066 + ... + 482454.

It is an arithmetic number, because the mean of its divisors is an integer number (169113035).

Almost surely, 24012123140 is an apocalyptic number.

It is an amenable number.

4012123140 is an abundant number, since it is smaller than the sum of its proper divisors (8164015380).

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

4012123140 is a wasteful number, since it uses less digits than its factorization.

4012123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11056 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4012123140 is about 63341.3225311881. The cubic root of 4012123140 is about 1589.0031249761.

Adding to 4012123140 its reverse (413212104), we get a palindrome (4425335244).

The spelling of 4012123140 in words is "four billion, twelve million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2657 5314 7971 8389 10628 13285 15942 16778 23913 25167 26570 31884 33556 39855 41945 47826 50334 53140 75501 79710 83890 95652 100668 119565 125835 151002 159420 167780 239130 251670 302004 377505 478260 503340 755010 1510020 22289573 44579146 66868719 89158292 111447865 133737438 200606157 222895730 267474876 334343595 401212314 445791460 668687190 802424628 1003030785 1337374380 2006061570 4012123140