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42404401201200 = 2435235337001001
BaseRepresentation
bin10011010010001000010110…
…10001010100000000110000
312120010211011121222102022020
421221010023101110000300
521024223203201414300
6230104151334311440
711634421410043143
oct1151041321240060
9176124147872266
1042404401201200
1112569672aa7915
12490a3101b8580
131a87944230b1c
14a6855387a05a
154d8080bb78a0
hex26910b454030

42404401201200 has 60 divisors (see below), whose sum is σ = 135835431851688. Its totient is φ = 11307840320000.

The previous prime is 42404401201139. The next prime is 42404401201237. The reversal of 42404401201200 is 210210440424.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17668499301 + ... + 17668501700.

Almost surely, 242404401201200 is an apocalyptic number.

42404401201200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404401201200 is an abundant number, since it is smaller than the sum of its proper divisors (93431030650488).

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

42404401201200 is a wasteful number, since it uses less digits than its factorization.

42404401201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35337001022 (or 35337001011 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42404401201200 its reverse (210210440424), we get a palindrome (42614611641624).

The spelling of 42404401201200 in words is "forty-two trillion, four hundred four billion, four hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 35337001001 70674002002 106011003003 141348004004 176685005005 212022006006 282696008008 353370010010 424044012012 530055015015 565392016016 706740020020 848088024024 883425025025 1060110030030 1413480040040 1696176048048 1766850050050 2120220060060 2650275075075 2826960080080 3533700100100 4240440120120 5300550150150 7067400200200 8480880240240 10601100300300 14134800400400 21202200600600 42404401201200