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42115304405200 = 24521333124468571
BaseRepresentation
bin10011001001101101110111…
…10000100011100011010000
312112010011221222100112122111
421210312323300203203100
521010004120411431300
6225323300450515104
711604505334604325
oct1144667360434320
9175104858315574
1042115304405200
1112468000436114
12488228a295a94
131a665c1268520
14a5856a80cb4c
154d07b08279ba
hex264dbbc238d0

42115304405200 has 120 divisors (see below), whose sum is σ = 109294455672416. Its totient is φ = 15503285952000.

The previous prime is 42115304405123. The next prime is 42115304405261. The reversal of 42115304405200 is 250440351124.

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, 10513086 + ... + 13955485.

Almost surely, 242115304405200 is an apocalyptic number.

42115304405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42115304405200 is an abundant number, since it is smaller than the sum of its proper divisors (67179151267216).

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

42115304405200 is a wasteful number, since it uses less digits than its factorization.

42115304405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24468933 (or 24468922 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 42115304405200 its reverse (250440351124), we get a palindrome (42365744756324).

The spelling of 42115304405200 in words is "forty-two trillion, one hundred fifteen billion, three hundred four million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 331 400 520 650 662 1040 1300 1324 1655 2600 2648 3310 4303 5200 5296 6620 8275 8606 13240 16550 17212 21515 26480 33100 34424 43030 66200 68848 86060 107575 132400 172120 215150 344240 430300 860600 1721200 24468571 48937142 97874284 122342855 195748568 244685710 318091423 391497136 489371420 611714275 636182846 978742840 1223428550 1272365692 1590457115 1957485680 2446857100 2544731384 3180914230 4893714200 5089462768 6361828460 7952285575 8099097001 9787428400 12723656920 15904571150 16198194002 25447313840 31809142300 32396388004 40495485005 63618284600 64792776008 80990970010 105288261013 127236569200 129585552016 161981940020 202477425025 210576522026 323963880040 404954850050 421153044052 526441305065 647927760080 809909700100 842306088104 1052882610130 1619819400200 1684612176208 2105765220260 2632206525325 3239638800400 4211530440520 5264413050650 8423060881040 10528826101300 21057652202600 42115304405200