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3355430230432 = 257445139677
BaseRepresentation
bin110000110100111111001…
…110100001100110100000
3102212202221200221202120201
4300310333032201212200
5414433410114333212
611045244030514544
7464264455240000
oct60647716414640
912782850852521
103355430230432
111084036986575
1246237a965a54
131b4553424517
14b8591a20000
155c438384b57
hex30d3f3a19a0

3355430230432 has 120 divisors (see below), whose sum is σ = 7709049437796. Its totient is φ = 1437574311936.

The previous prime is 3355430230403. The next prime is 3355430230459. The reversal of 3355430230432 is 2340320345533.

It can be written as a sum of positive squares in 2 ways, for example, as 3083409569296 + 272020661136 = 1755964^2 + 521556^2 .

It is a super-3 number, since 3×33554302304323 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3355430230391 and 3355430230400.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 346737978 + ... + 346747654.

Almost surely, 23355430230432 is an apocalyptic number.

3355430230432 is a gapful number since it is divisible by the number (32) 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 3355430230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854524718898).

3355430230432 is an abundant number, since it is smaller than the sum of its proper divisors (4353619207364).

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

3355430230432 is an frugal number, since it uses more digits than its factorization.

3355430230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14199 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 37.

Adding to 3355430230432 its reverse (2340320345533), we get a palindrome (5695750575965).

The spelling of 3355430230432 in words is "three trillion, three hundred fifty-five billion, four hundred thirty million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4513 4802 5488 9026 9604 9677 10976 18052 19208 19354 31591 36104 38416 38708 63182 67739 72208 76832 77416 126364 135478 144416 154832 221137 252728 270956 309664 442274 474173 505456 541912 884548 948346 1010912 1083824 1547959 1769096 1896692 2167648 3095918 3319211 3538192 3793384 6191836 6638422 7076384 7586768 10835713 12383672 13276844 15173536 21671426 23234477 24767344 26553688 43342852 43672301 46468954 49534688 53107376 86685704 87344602 92937908 106214752 173371408 174689204 185875816 305706107 346742816 349378408 371751632 611412214 698756816 743503264 1222824428 1397513632 2139942749 2445648856 4279885498 4891297712 8559770996 9782595424 14979599243 17119541992 29959198486 34239083984 59918396972 68478167968 104857194701 119836793944 209714389402 239673587888 419428778804 479347175776 838857557608 1677715115216 3355430230432