Search a number
-
+
244153132040 = 23541193377017
BaseRepresentation
bin1110001101100010101…
…0010010010000001000
3212100012110012012010002
43203120222102100020
513000011200211130
6304055024542132
723432225244326
oct3433052222010
9770173165102
10244153132040
11945aa094874
123b39a481948
131a03c94a7cc
14bb620a4d16
15653e87db45
hex38d8a92408

244153132040 has 64 divisors (see below), whose sum is σ = 563041629360. Its totient is φ = 95228743680.

The previous prime is 244153132037. The next prime is 244153132049. The reversal of 244153132040 is 40231351442.

It can be written as a sum of positive squares in 8 ways, for example, as 128799160996 + 115353971044 = 358886^2 + 339638^2 .

It is a super-2 number, since 2×2441531320402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244153131994 and 244153132012.

It is not an unprimeable number, because it can be changed into a prime (244153132049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131612 + ... + 3208628.

Almost surely, 2244153132040 is an apocalyptic number.

244153132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244153132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281520814680).

244153132040 is an abundant number, since it is smaller than the sum of its proper divisors (318888497320).

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

244153132040 is a wasteful number, since it uses less digits than its factorization.

244153132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79002 (or 78998 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 244153132040 its reverse (40231351442), we get a palindrome (284384483482).

The spelling of 244153132040 in words is "two hundred forty-four billion, one hundred fifty-three million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1933 3866 7732 9665 15464 19330 38660 77017 77320 79253 154034 158506 308068 317012 385085 396265 616136 634024 770170 792530 1540340 1585060 3080680 3157697 3170120 6315394 12630788 15788485 25261576 31576970 63153940 126307880 148873861 297747722 595495444 744369305 1190990888 1488738610 2977477220 5954954440 6103828301 12207656602 24415313204 30519141505 48830626408 61038283010 122076566020 244153132040