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240104211444 = 22343720028713
BaseRepresentation
bin1101111110011101010…
…0111000001111110100
3211221202021102201020000
43133213110320033310
512413213134231234
6302145150311300
723230002060156
oct3374724701764
9757667381200
10240104211444
11929116278a9
123a64a4b8530
1319845b5b0c6
14b89a458ad6
1563a4193899
hex37e75383f4

240104211444 has 60 divisors (see below), whose sum is σ = 644644188804. Its totient is φ = 77871632256.

The previous prime is 240104211427. The next prime is 240104211461. The reversal of 240104211444 is 444112401042.

It is a happy number.

240104211444 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 0 + 4 + 211 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (240104211427) and next prime (240104211461).

It can be written as a sum of positive squares in 2 ways, for example, as 230267539044 + 9836672400 = 479862^2 + 99180^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10002369 + ... + 10026344.

Almost surely, 2240104211444 is an apocalyptic number.

It is an amenable number.

240104211444 is an abundant number, since it is smaller than the sum of its proper divisors (404539977360).

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

240104211444 is a wasteful number, since it uses less digits than its factorization.

240104211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20028766 (or 20028755 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 240104211444 its reverse (444112401042), we get a palindrome (684216612486).

The spelling of 240104211444 in words is "two hundred forty billion, one hundred four million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 20028713 40057426 60086139 80114852 120172278 180258417 240344556 360516834 540775251 721033668 741062381 1081550502 1482124762 1622325753 2163101004 2223187143 2964249524 3244651506 4446374286 6489303012 6669561429 8892748572 13339122858 20008684287 26678245716 40017368574 60026052861 80034737148 120052105722 240104211444