Search a number
-
+
30034200101440 = 2651926711849433
BaseRepresentation
bin1101101010000111000011…
…10101000000001001000000
310221100020112001012220212211
412311003201311000021000
512414040020211221230
6143513304314031504
76216620322430603
oct665034165001100
9127306461186784
1030034200101440
11962a483a704a7
1234509b4a18594
13139b29ca17272
1475b93d55633a
153713d250242a
hex1b50e1d40240

30034200101440 has 112 divisors (see below), whose sum is σ = 75311319755520. Its totient is φ = 11377113845760.

The previous prime is 30034200101407. The next prime is 30034200101441. The reversal of 30034200101440 is 4410100243003.

It is not an unprimeable number, because it can be changed into a prime (30034200101441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15314964 + ... + 17164396.

Almost surely, 230034200101440 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 30034200101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37655659877760).

30034200101440 is an abundant number, since it is smaller than the sum of its proper divisors (45277119654080).

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

30034200101440 is a wasteful number, since it uses less digits than its factorization.

30034200101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852140 (or 1852130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 30034200101440 its reverse (4410100243003), we get a palindrome (34444300344443).

The spelling of 30034200101440 in words is "thirty trillion, thirty-four billion, two hundred million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2671 3040 5342 6080 10684 13355 21368 26710 42736 50749 53420 85472 101498 106840 170944 202996 213680 253745 405992 427360 507490 811984 854720 1014980 1623968 1849433 2029960 3247936 3698866 4059920 7397732 8119840 9247165 14795464 16239680 18494330 29590928 35139227 36988660 59181856 70278454 73977320 118363712 140556908 147954640 175696135 281113816 295909280 351392270 562227632 591818560 702784540 1124455264 1405569080 2248910528 2811138160 4939835543 5622276320 9879671086 11244552640 19759342172 24699177715 39518684344 49398355430 79037368688 93856875317 98796710860 158074737376 187713750634 197593421720 316149474752 375427501268 395186843440 469284376585 750855002536 790373686880 938568753170 1501710005072 1580747373760 1877137506340 3003420010144 3754275012680 6006840020288 7508550025360 15017100050720 30034200101440