Search a number
-
+
40431404134200 = 2335277938646949
BaseRepresentation
bin10010011000101101010110…
…11110110010111100111000
312022011012112001220200200210
421030112223132302330320
520244412003424243300
6221553533004031120
711342033612505222
oct1114265336627470
9168135461820623
1040431404134200
1111978953653292
12464ba635324a0
131973885166321
149dac67393412
154a1aa864e050
hex24c5ab7b2f38

40431404134200 has 96 divisors (see below), whose sum is σ = 125353450638000. Its totient is φ = 10780323010560.

The previous prime is 40431404134159. The next prime is 40431404134241. The reversal of 40431404134200 is 243140413404.

It is an interprime number because it is at equal distance from previous prime (40431404134159) and next prime (40431404134241).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 352326 + ... + 8999274.

Almost surely, 240431404134200 is an apocalyptic number.

40431404134200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431404134200 is an abundant number, since it is smaller than the sum of its proper divisors (84922046503800).

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

40431404134200 is a wasteful number, since it uses less digits than its factorization.

40431404134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654761 (or 8654752 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 40431404134200 its reverse (243140413404), we get a palindrome (40674544547604).

The spelling of 40431404134200 in words is "forty trillion, four hundred thirty-one billion, four hundred four million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 7793 15586 23379 31172 38965 46758 62344 77930 93516 116895 155860 187032 194825 233790 311720 389650 467580 584475 779300 935160 1168950 1558600 2337900 4675800 8646949 17293898 25940847 34587796 43234745 51881694 69175592 86469490 103763388 129704235 172938980 207526776 216173725 259408470 345877960 432347450 518816940 648521175 864694900 1037633880 1297042350 1729389800 2594084700 5188169400 67385673557 134771347114 202157020671 269542694228 336928367785 404314041342 539085388456 673856735570 808628082684 1010785103355 1347713471140 1617256165368 1684641838925 2021570206710 2695426942280 3369283677850 4043140413420 5053925516775 6738567355700 8086280826840 10107851033550 13477134711400 20215702067100 40431404134200