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40431134044440 = 23325796131410683
BaseRepresentation
bin10010011000101100110110…
…11000011111000100011000
312022011011211020200201012100
421030112123120133010120
520244410430303410230
6221553450115043400
711342024123001426
oct1114263330370430
9168134736621170
1040431134044440
1111978825148907
12464b9a8ba0560
13197384120b6b9
149dac3d568116
154a1a8ea9c660
hex24c59b61f118

40431134044440 has 96 divisors (see below), whose sum is σ = 131402929291920. Its totient is φ = 10781492676864.

The previous prime is 40431134044423. The next prime is 40431134044463. The reversal of 40431134044440 is 4444043113404.

40431134044440 is a `hidden beast` number, since 4 + 0 + 43 + 1 + 134 + 0 + 44 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40431134044395 and 40431134044404.

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, 27955339 + ... + 29366021.

Almost surely, 240431134044440 is an apocalyptic number.

40431134044440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431134044440 is an abundant number, since it is smaller than the sum of its proper divisors (90971795247480).

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

40431134044440 is a wasteful number, since it uses less digits than its factorization.

40431134044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490313 (or 1490306 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40431134044440 its reverse (4444043113404), we get a palindrome (44875177157844).

The spelling of 40431134044440 in words is "forty trillion, four hundred thirty-one billion, one hundred thirty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 79613 159226 238839 318452 398065 477678 636904 716517 796130 955356 1194195 1410683 1433034 1592260 1910712 2388390 2821366 2866068 3184520 3582585 4232049 4776780 5642732 5732136 7053415 7165170 8464098 9553560 11285464 12696147 14106830 14330340 16928196 21160245 25392294 28213660 28660680 33856392 42320490 50784588 56427320 63480735 84640980 101569176 126961470 169281960 253922940 507845880 112308705679 224617411358 336926117037 449234822716 561543528395 673852234074 898469645432 1010778351111 1123087056790 1347704468148 1684630585185 2021556702222 2246174113580 2695408936296 3369261170370 4043113404444 4492348227160 5053891755555 6738522340740 8086226808888 10107783511110 13477044681480 20215567022220 40431134044440