Search a number
-
+
23431401040 = 245404972337
BaseRepresentation
bin10101110100100111…
…101100111001010000
32020110222022111120011
4111310213230321100
5340441414313130
614433024124304
71456436423365
oct256447547120
966428274504
1023431401040
119a34462453
12465b166694
132295576358
1411c3d0846c
1592212752a
hex5749ece50

23431401040 has 40 divisors (see below), whose sum is σ = 54492215400. Its totient is φ = 9370116096.

The previous prime is 23431401017. The next prime is 23431401047. The reversal of 23431401040 is 4010413432.

It can be written as a sum of positive squares in 4 ways, for example, as 149523984 + 23281877056 = 12228^2 + 152584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431401047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287752 + ... + 360088.

It is an arithmetic number, because the mean of its divisors is an integer number (1362305385).

Almost surely, 223431401040 is an apocalyptic number.

23431401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23431401040 is an abundant number, since it is smaller than the sum of its proper divisors (31060814360).

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

23431401040 is a wasteful number, since it uses less digits than its factorization.

23431401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76399 (or 76393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23431401040 its reverse (4010413432), we get a palindrome (27441814472).

The spelling of 23431401040 in words is "twenty-three billion, four hundred thirty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4049 8098 16196 20245 32392 40490 64784 72337 80980 144674 161960 289348 323920 361685 578696 723370 1157392 1446740 2893480 5786960 292892513 585785026 1171570052 1464462565 2343140104 2928925130 4686280208 5857850260 11715700520 23431401040