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4043342000400 = 243524771690461
BaseRepresentation
bin111010110101101001111…
…101101011000100010000
3112022112120110022110010020
4322311221331223010100
51012221231023003100
612333252523303440
7565056532635243
oct72655175530420
915275513273106
104043342000400
11131985417100a
1255376307ab80
13234393377511
14dd9ad6db25a
157029b08e5a0
hex3ad69f6b110

4043342000400 has 120 divisors (see below), whose sum is σ = 13227750524544. Its totient is φ = 1055283571200.

The previous prime is 4043342000381. The next prime is 4043342000449. The reversal of 4043342000400 is 40002433404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40433420004002 (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 35788831 + ... + 35901630.

Almost surely, 24043342000400 is an apocalyptic number.

4043342000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043342000400 is an abundant number, since it is smaller than the sum of its proper divisors (9184408524144).

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

4043342000400 is a wasteful number, since it uses less digits than its factorization.

4043342000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71690529 (or 71690518 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4043342000400 its reverse (40002433404), we get a palindrome (4083344433804).

The spelling of 4043342000400 in words is "four trillion, forty-three billion, three hundred forty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 71690461 143380922 215071383 286761844 358452305 430142766 573523688 716904610 860285532 1075356915 1147047376 1433809220 1720571064 1792261525 2150713830 2867618440 3369451667 3441142128 3584523050 4301427660 5376784575 5735236880 6738903334 7169046100 8602855320 10108355001 10753569150 13477806668 14338092200 16847258335 17205710640 20216710002 21507138300 26955613336 28676184400 33694516670 40433420004 43014276600 50541775005 53911226672 67389033340 80866840008 84236291675 86028553200 101083550010 134778066680 161733680016 168472583350 202167100020 252708875025 269556133360 336945166700 404334200040 505417750050 673890333400 808668400080 1010835500100 1347780666800 2021671000200 4043342000400