Search a number
-
+
3060253338336 = 253229973777419
BaseRepresentation
bin101100100010000101010…
…100000010101011100000
3101211120001022120000001200
4230202011110002223200
5400114344323311321
610301505545401200
7434044634116365
oct54420524025340
911746038500050
103060253338336
11a7a934257667
12415120799200
131927718cb11c
14a818d29446c
155490e339d26
hex2c885502ae0

3060253338336 has 144 divisors (see below), whose sum is σ = 9095498521200. Its totient is φ = 974755160064.

The previous prime is 3060253338221. The next prime is 3060253338391. The reversal of 3060253338336 is 6338333520603.

It is a happy number.

3060253338336 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 2 + 533 + 3 + 83 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3060253338291 and 3060253338300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078566 + ... + 2698853.

It is an arithmetic number, because the mean of its divisors is an integer number (63163184175).

Almost surely, 23060253338336 is an apocalyptic number.

3060253338336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3060253338336 is an abundant number, since it is smaller than the sum of its proper divisors (6035245182864).

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

3060253338336 is a wasteful number, since it uses less digits than its factorization.

3060253338336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777561 (or 3777550 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

Adding to 3060253338336 its reverse (6338333520603), we get a palindrome (9398586858939).

The spelling of 3060253338336 in words is "three trillion, sixty billion, two hundred fifty-three million, three hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 97 116 144 174 194 232 261 288 291 348 388 464 522 582 696 776 873 928 1044 1164 1392 1552 1746 2088 2328 2784 2813 3104 3492 4176 4656 5626 6984 8352 8439 9312 11252 13968 16878 22504 25317 27936 33756 45008 50634 67512 90016 101268 135024 202536 270048 405072 810144 3777419 7554838 11332257 15109676 22664514 30219352 33996771 45329028 60438704 67993542 90658056 109545151 120877408 135987084 181316112 219090302 271974168 328635453 362632224 366409643 438180604 543948336 657270906 732819286 876361208 985906359 1087896672 1099228929 1314541812 1465638572 1752722416 1971812718 2198457858 2629083624 2931277144 3297686787 3505444832 3943625436 4396915716 5258167248 5862554288 6595373574 7887250872 8793831432 10516334496 10625879647 11725108576 13190747148 15774501744 17587662864 21251759294 26381494296 31549003488 31877638941 35175325728 42503518588 52762988592 63755277882 85007037176 95632916823 105525977184 127510555764 170014074352 191265833646 255021111528 340028148704 382531667292 510042223056 765063334584 1020084446112 1530126669168 3060253338336