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12043030451400 = 23325213514659421
BaseRepresentation
bin1010111100111111110010…
…0011010101010011001000
31120122022011111110112002200
42233033330203111103020
53034303111243421100
641340254122000200
72352036343554414
oct257177443252310
946568144415080
1012043030451400
113923469801933
12142602a646060
13694864558c50
142d8c5883bd44
1515d4009b3e00
hexaf3fc8d54c8

12043030451400 has 144 divisors (see below), whose sum is σ = 43555626883860. Its totient is φ = 2964438259200.

The previous prime is 12043030451311. The next prime is 12043030451423. The reversal of 12043030451400 is 415403034021.

It is a happy number.

12043030451400 is a `hidden beast` number, since 1 + 20 + 430 + 30 + 45 + 140 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5088913363044 + 6954117088356 = 2255862^2 + 2637066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257306311 + ... + 257353110.

Almost surely, 212043030451400 is an apocalyptic number.

12043030451400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12043030451400 is an abundant number, since it is smaller than the sum of its proper divisors (31512596432460).

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

12043030451400 is a wasteful number, since it uses less digits than its factorization.

12043030451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514659456 (or 514659444 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12043030451400 its reverse (415403034021), we get a palindrome (12458433485421).

The spelling of 12043030451400 in words is "twelve trillion, forty-three billion, thirty million, four hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 514659421 1029318842 1543978263 2058637684 2573297105 3087956526 4117275368 4631934789 5146594210 6175913052 6690572473 7719891315 9263869578 10293188420 12351826104 12866485525 13381144946 15439782630 18527739156 20071717419 20586376840 23159673945 25732971050 26762289892 30879565260 33452862365 37055478312 38599456575 40143434838 46319347890 51465942100 53524579784 60215152257 61759130520 66905724730 77198913150 80286869676 92638695780 100358587095 102931884200 115798369725 120430304514 133811449460 154397826300 160573739352 167264311825 185277391560 200717174190 231596739450 240860609028 267622898920 301075761285 308795652600 334528623650 401434348380 463193478900 481721218056 501792935475 602151522570 669057247300 802868696760 926386957800 1003585870950 1204303045140 1338114494600 1505378806425 2007171741900 2408606090280 3010757612850 4014343483800 6021515225700 12043030451400