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32135041304040 = 2335343379779873
BaseRepresentation
bin1110100111010000001011…
…01110001100010111101000
311012210002011021120122010110
413103220011232030113220
513203000031033212130
6152202344552014320
76524452165135113
oct723500556142750
9135702137518113
1032135041304040
11a26a43806a344
12372bba03913a0
1314c1424138c8c
147d14b6a7957a
153aad8d4ceab0
hex1d3a05b8c5e8

32135041304040 has 64 divisors (see below), whose sum is σ = 96405528283200. Its totient is φ = 8569308403712.

The previous prime is 32135041303999. The next prime is 32135041304071. The reversal of 32135041304040 is 4040314053123.

It is a super-2 number, since 2×321350413040402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32135041303989 and 32135041304007.

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, 40815544 + ... + 41595416.

It is an arithmetic number, because the mean of its divisors is an integer number (1506336379425).

Almost surely, 232135041304040 is an apocalyptic number.

32135041304040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32135041304040 is an abundant number, since it is smaller than the sum of its proper divisors (64270486979160).

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

32135041304040 is a wasteful number, since it uses less digits than its factorization.

32135041304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123266 (or 1123262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 32135041304040 its reverse (4040314053123), we get a palindrome (36175355357163).

The spelling of 32135041304040 in words is "thirty-two trillion, one hundred thirty-five billion, forty-one million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 343379 686758 779873 1030137 1373516 1559746 1716895 2060274 2339619 2747032 3119492 3433790 3899365 4120548 4679238 5150685 6238984 6867580 7798730 8241096 9358476 10301370 11698095 13735160 15597460 18716952 20602740 23396190 31194920 41205480 46792380 93584760 267792010867 535584021734 803376032601 1071168043468 1338960054335 1606752065202 2142336086936 2677920108670 3213504130404 4016880163005 5355840217340 6427008260808 8033760326010 10711680434680 16067520652020 32135041304040