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40042234423400 = 23521131587129537
BaseRepresentation
bin10010001101011000011110…
…01010001010100001101000
312020210000000011110000111012
421012230033022022201220
520222022444003022100
6221055052030323052
711301645616524326
oct1106541712124150
9166700004400435
1040042234423400
11118388a8484520
1245a8553359488
131945c74541b41
149c60a9724d16
154968cc970135
hex246b0f28a868

40042234423400 has 96 divisors (see below), whose sum is σ = 104837850305280. Its totient is φ = 14091108864000.

The previous prime is 40042234423363. The next prime is 40042234423439. The reversal of 40042234423400 is 432443224004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293496569 + ... + 293632968.

It is an arithmetic number, because the mean of its divisors is an integer number (1092060940680).

Almost surely, 240042234423400 is an apocalyptic number.

40042234423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042234423400 is an abundant number, since it is smaller than the sum of its proper divisors (64795615881880).

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

40042234423400 is a wasteful number, since it uses less digits than its factorization.

40042234423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587129595 (or 587129586 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 40042234423400 its reverse (432443224004), we get a palindrome (40474677647404).

The spelling of 40042234423400 in words is "forty trillion, forty-two billion, two hundred thirty-four million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 587129537 1174259074 2348518148 2935647685 4697036296 5871295370 6458424907 11742590740 12916849814 14678238425 18201015647 23485181480 25833699628 29356476850 32292124535 36402031294 51667399256 58712953700 64584249070 72804062588 91005078235 117425907400 129168498140 145608125176 161460622675 182010156470 200211172117 258336996280 322921245350 364020312940 400422344234 455025391175 645842490700 728040625880 800844688468 910050782350 1001055860585 1291684981400 1601689376936 1820101564700 2002111721170 3640203129400 4004223442340 5005279302925 8008446884680 10010558605850 20021117211700 40042234423400