Search a number
-
+
244004020002 = 23353229372299
BaseRepresentation
bin1110001100111111000…
…1011101111100100010
3212022211001121111212000
43203033301131330202
512444210012120002
6304032140544430
723425434643341
oct3431761357442
9768731544760
10244004020002
11945329a9786
123b358552116
131a017a9cb32
14bb4a36bb58
15653172761c
hex38cfc5df22

244004020002 has 64 divisors (see below), whose sum is σ = 554875920000. Its totient is φ = 79451371584.

The previous prime is 244004019997. The next prime is 244004020003. The reversal of 244004020002 is 200020400442.

244004020002 is a `hidden beast` number, since 24 + 400 + 40 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (244004020003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469249 + ... + 841547.

It is an arithmetic number, because the mean of its divisors is an integer number (8669936250).

Almost surely, 2244004020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244004020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277437960000).

244004020002 is an abundant number, since it is smaller than the sum of its proper divisors (310871899998).

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

244004020002 is a wasteful number, since it uses less digits than its factorization.

244004020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372592 (or 372586 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 244004020002 its reverse (200020400442), we get a palindrome (444024420444).

The spelling of 244004020002 in words is "two hundred forty-four billion, four million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 229 318 458 477 687 954 1374 1431 2061 2862 4122 6183 12137 12366 24274 36411 72822 109233 218466 327699 372299 655398 744598 1116897 2233794 3350691 6701382 10052073 19731847 20104146 39463694 59195541 85256471 118391082 170512942 177586623 255769413 355173246 511538826 532759869 767308239 1065519738 1534616478 2301924717 4518592963 4603849434 9037185926 13555778889 27111557778 40667336667 81334673334 122002010001 244004020002