Search a number
-
+
612242404440 = 233553955110079
BaseRepresentation
bin10001110100011000111…
…11011011010001011000
32011112022020002122012220
420322030133123101120
540012333023420230
61145132115304040
762142636400152
oct10721437332130
92145266078186
10612242404440
11216717970217
129a7a68ab020
13459710a53c4
14218c0161ad2
1510dd4a21d10
hex8e8c7db458

612242404440 has 128 divisors (see below), whose sum is σ = 1871764070400. Its totient is φ = 160151513600.

The previous prime is 612242404369. The next prime is 612242404441. The reversal of 612242404440 is 44404242216.

It is a happy number.

612242404440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612242404441) 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, 60739321 + ... + 60749399.

It is an arithmetic number, because the mean of its divisors is an integer number (14623156800).

Almost surely, 2612242404440 is an apocalyptic number.

612242404440 is a gapful number since it is divisible by the number (60) 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 612242404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935882035200).

612242404440 is an abundant number, since it is smaller than the sum of its proper divisors (1259521665960).

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

612242404440 is a wasteful number, since it uses less digits than its factorization.

612242404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19693 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 612242404440 its reverse (44404242216), we get a palindrome (656646646656).

The spelling of 612242404440 in words is "six hundred twelve billion, two hundred forty-two million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 9551 10079 19102 20158 28653 30237 38204 40316 47755 50395 57306 60474 76408 80632 95510 100790 114612 120948 143265 151185 191020 201580 229224 241896 286530 302370 382040 403160 506203 534187 573060 604740 1012406 1068374 1146120 1209480 1518609 1602561 2024812 2136748 2531015 2670935 3037218 3205122 4049624 4273496 5062030 5341870 6074436 6410244 7593045 8012805 10124060 10683740 12148872 12820488 15186090 16025610 20248120 21367480 30372180 32051220 60744360 64102440 96264529 192529058 288793587 385058116 481322645 577587174 770116232 962645290 1155174348 1443967935 1925290580 2310348696 2887935870 3850581160 5102020037 5775871740 10204040074 11551743480 15306060111 20408080148 25510100185 30612120222 40816160296 51020200370 61224240444 76530300555 102040400740 122448480888 153060601110 204080801480 306121202220 612242404440