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32013020131440 = 2435181277358503
BaseRepresentation
bin1110100011101100111001…
…01100010111000001110000
311012100102012102012211001120
413101312130230113001300
513144000131123201230
6152030324534502240
76512602324236165
oct721663454270160
9135312172184046
1032013020131440
11a222711317347
123710407804980
1314b2a792a34ba
147c961d12606c
153a7aead83310
hex1d1d9cb17070

32013020131440 has 80 divisors (see below), whose sum is σ = 99245850620928. Its totient is φ = 8536333264128.

The previous prime is 32013020131427. The next prime is 32013020131451. The reversal of 32013020131440 is 4413102031023.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32013020131440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671229 + ... + 8029731.

Almost surely, 232013020131440 is an apocalyptic number.

32013020131440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32013020131440 is an abundant number, since it is smaller than the sum of its proper divisors (67232830489488).

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

32013020131440 is a wasteful number, since it uses less digits than its factorization.

32013020131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376646 (or 7376640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32013020131440 its reverse (4413102031023), we get a palindrome (36426122162463).

The spelling of 32013020131440 in words is "thirty-two trillion, thirteen billion, twenty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 18127 36254 54381 72508 90635 108762 145016 181270 217524 271905 290032 362540 435048 543810 725080 870096 1087620 1450160 2175240 4350480 7358503 14717006 22075509 29434012 36792515 44151018 58868024 73585030 88302036 110377545 117736048 147170060 176604072 220755090 294340120 353208144 441510180 588680240 883020360 1766040720 133387583881 266775167762 400162751643 533550335524 666937919405 800325503286 1067100671048 1333875838810 1600651006572 2000813758215 2134201342096 2667751677620 3201302013144 4001627516430 5335503355240 6402604026288 8003255032860 10671006710480 16006510065720 32013020131440