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1240540144 = 242331372939
BaseRepresentation
bin100100111110001…
…0010001111110000
310012110021222011021
41021330102033300
510020034241034
6323033025224
742512263054
oct11174221760
93173258137
101240540144
11587286198
122a7555214
1316a019b2c
14baa83c64
1573d976b4
hex49f123f0

1240540144 has 80 divisors (see below), whose sum is σ = 2659829760. Its totient is φ = 558455040.

The previous prime is 1240540127. The next prime is 1240540151. The reversal of 1240540144 is 4410450421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420627 + ... + 423565.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 21240540144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

1240540144 is an abundant number, since it is smaller than the sum of its proper divisors (1419289616).

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

1240540144 is a wasteful number, since it uses less digits than its factorization.

1240540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 1240540144 is about 35221.3024177131. The cubic root of 1240540144 is about 1074.4930420869.

Adding to 1240540144 its reverse (4410450421), we get a palindrome (5650990565).

The spelling of 1240540144 in words is "one billion, two hundred forty million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 31 37 46 62 74 92 124 148 184 248 296 368 496 592 713 851 1147 1426 1702 2294 2852 2939 3404 4588 5704 5878 6808 9176 11408 11756 13616 18352 23512 26381 47024 52762 67597 91109 105524 108743 135194 182218 211048 217486 270388 364436 422096 434972 540776 728872 869944 1081552 1457744 1739888 2095507 2501089 3371033 4191014 5002178 6742066 8382028 10004356 13484132 16764056 20008712 26968264 33528112 40017424 53936528 77533759 155067518 310135036 620270072 1240540144