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240231413034 = 237143338327
BaseRepresentation
bin1101111110111011101…
…0000111010100101010
3211222002010210020000000
43133232322013110222
512413443220204114
6302205532523430
723233105214244
oct3375672072452
9758063706000
10240231413034
1192977408288
123a685020576
1319866306c12
14b8ad2cb094
1563b041ce09
hex37eee8752a

240231413034 has 64 divisors (see below), whose sum is σ = 540829543680. Its totient is φ = 80019169056.

The previous prime is 240231413029. The next prime is 240231413101. The reversal of 240231413034 is 430314132042.

240231413034 is a `hidden beast` number, since 2 + 40 + 2 + 314 + 1 + 303 + 4 = 666.

It is a super-2 number, since 2×2402314130342 (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 240231412989 and 240231413007.

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 31 ways as a sum of consecutive naturals, for example, 6248779 + ... + 6287105.

It is an arithmetic number, because the mean of its divisors is an integer number (8450461620).

Almost surely, 2240231413034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240231413034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270414771840).

240231413034 is an abundant number, since it is smaller than the sum of its proper divisors (300598130646).

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

240231413034 is an equidigital number, since it uses as much as digits as its factorization.

240231413034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39783 (or 39765 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240231413034 its reverse (430314132042), we get a palindrome (670545545076).

The spelling of 240231413034 in words is "two hundred forty billion, two hundred thirty-one million, four hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1433 1458 2187 2866 4299 4374 8598 12897 25794 38327 38691 76654 77382 114981 116073 229962 232146 344943 348219 689886 696438 1034829 1044657 2069658 2089314 3104487 3133971 6208974 6267942 9313461 18626922 27940383 54922591 55880766 83821149 109845182 164767773 167642298 329535546 494303319 988606638 1482909957 2965819914 4448729871 8897459742 13346189613 26692379226 40038568839 80077137678 120115706517 240231413034