Search a number
-
+
3055767641344 = 28117161924691
BaseRepresentation
bin101100011101111001111…
…100011101110100000000
3101211010110200220222121001
4230131321330131310000
5400031203004010334
610255444505341344
7433525525246525
oct54357174356400
911733420828531
103055767641344
11a78a42196070
1241428a497854
13192208491952
14a7c8562d14c
155474a624714
hex2c779f1dd00

3055767641344 has 144 divisors (see below), whose sum is σ = 6759002396160. Its totient is φ = 1367154432000.

The previous prime is 3055767641327. The next prime is 3055767641357. The reversal of 3055767641344 is 4431467675503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123748039 + ... + 123772729.

It is an arithmetic number, because the mean of its divisors is an integer number (46937516640).

Almost surely, 23055767641344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3055767641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379501198080).

3055767641344 is an abundant number, since it is smaller than the sum of its proper divisors (3703234754816).

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

3055767641344 is a wasteful number, since it uses less digits than its factorization.

3055767641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25408 (or 25394 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 3055767641344 in words is "three trillion, fifty-five billion, seven hundred sixty-seven million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 568 619 704 781 1136 1238 1408 1562 2272 2476 2816 3124 4544 4952 6248 6809 9088 9904 12496 13618 18176 19808 24691 24992 27236 39616 43949 49382 49984 54472 79232 87898 98764 99968 108944 158464 175796 197528 199936 217888 271601 351592 395056 435776 483439 543202 703184 790112 871552 966878 1086404 1406368 1580224 1743104 1753061 1933756 2172808 2812736 3160448 3506122 3867512 4345616 5625472 6320896 7012244 7735024 8691232 11250944 14024488 15283729 15470048 17382464 19283671 28048976 30567458 30940096 34764928 38567342 56097952 61134916 61880192 69529856 77134684 112195904 122269832 123760384 154269368 168121019 224391808 244539664 308538736 336242038 448783616 489079328 617077472 672484076 978158656 1085144759 1234154944 1344968152 1956317312 2170289518 2468309888 2689936304 3912634624 4340579036 4936619776 5379872608 8681158072 10759745216 11936592349 17362316144 21519490432 23873184698 34724632288 43038980864 47746369396 69449264576 95492738792 138898529152 190985477584 277797058304 381970955168 763941910336 1527883820672 3055767641344