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400230111132 = 223250417220511
BaseRepresentation
bin1011101001011111001…
…00101101011110011100
31102021001201120020010100
411310233210231132130
523024132402024012
6503510240141100
740626034545645
oct5645744553634
91367051506110
10400230111132
11144811511295
1265698307790
132b984209087
141552a9826cc
15a626bee8dc
hex5d2f92d79c

400230111132 has 36 divisors (see below), whose sum is σ = 1011717435456. Its totient is φ = 133406785920.

The previous prime is 400230111119. The next prime is 400230111137. The reversal of 400230111132 is 231111032004.

400230111132 is a `hidden beast` number, since 400 + 23 + 0 + 111 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400230111137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1704757 + ... + 1925267.

It is an arithmetic number, because the mean of its divisors is an integer number (28103262096).

Almost surely, 2400230111132 is an apocalyptic number.

It is an amenable number.

400230111132 is an abundant number, since it is smaller than the sum of its proper divisors (611487324324).

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

400230111132 is a wasteful number, since it uses less digits than its factorization.

400230111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270938 (or 270933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 400230111132 its reverse (231111032004), we get a palindrome (631341143136).

The spelling of 400230111132 in words is "four hundred billion, two hundred thirty million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 50417 100834 151251 201668 220511 302502 441022 453753 605004 661533 882044 907506 1323066 1815012 1984599 2646132 3969198 7938396 11117503087 22235006174 33352509261 44470012348 66705018522 100057527783 133410037044 200115055566 400230111132