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32013401040 = 2433514821019
BaseRepresentation
bin11101110100001001…
…011011101111010000
310001122001212021101000
4131310021123233100
51011030412313130
622412354142000
72212215263505
oct356411335720
9101561767330
1032013401040
1112638804035
126255281900
13303255206a
1417999d14ac
15c75787260
hex77425bbd0

32013401040 has 80 divisors (see below), whose sum is σ = 110268388800. Its totient is φ = 8536906368.

The previous prime is 32013400999. The next prime is 32013401047. The reversal of 32013401040 is 4010431023.

32013401040 is a `hidden beast` number, since 320 + 1 + 340 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×320134010402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013401047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7408350 + ... + 7412669.

It is an arithmetic number, because the mean of its divisors is an integer number (1378354860).

Almost surely, 232013401040 is an apocalyptic number.

32013401040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32013401040 is an abundant number, since it is smaller than the sum of its proper divisors (78254987760).

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

32013401040 is a wasteful number, since it uses less digits than its factorization.

32013401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821041 (or 14821029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32013401040 its reverse (4010431023), we get a palindrome (36023832063).

The spelling of 32013401040 in words is "thirty-two billion, thirteen million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 14821019 29642038 44463057 59284076 74105095 88926114 118568152 133389171 148210190 177852228 222315285 237136304 266778342 296420380 355704456 400167513 444630570 533556684 592840760 666945855 711408912 800335026 889261140 1067113368 1185681520 1333891710 1600670052 1778522280 2000837565 2134226736 2667783420 3201340104 3557044560 4001675130 5335566840 6402680208 8003350260 10671133680 16006700520 32013401040