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34443121240 = 23511286127361
BaseRepresentation
bin100000000100111110…
…000101001001011000
310021220101210211220001
4200010332011021120
51031014414334430
623453431342344
72326350462043
oct400476051130
9107811724801
1034443121240
1113675275860
126812b219b4
13332ba45518
14194a589c5a
15d68c2e3ca
hex804f85258

34443121240 has 64 divisors (see below), whose sum is σ = 84574847520. Its totient is φ = 12519936000.

The previous prime is 34443121211. The next prime is 34443121277. The reversal of 34443121240 is 4212134443.

It is a junction number, because it is equal to n+sod(n) for n = 34443121199 and 34443121208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245160 + ... + 1272520.

Almost surely, 234443121240 is an apocalyptic number.

It is an amenable number.

34443121240 is an abundant number, since it is smaller than the sum of its proper divisors (50131726280).

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

34443121240 is a wasteful number, since it uses less digits than its factorization.

34443121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30244 (or 30240 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34443121240 its reverse (4212134443), we get a palindrome (38655255683).

The spelling of 34443121240 in words is "thirty-four billion, four hundred forty-three million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2861 5722 11444 14305 22888 27361 28610 31471 54722 57220 62942 109444 114440 125884 136805 157355 218888 251768 273610 300971 314710 547220 601942 629420 1094440 1203884 1258840 1504855 2407768 3009710 6019420 12038840 78279821 156559642 313119284 391399105 626238568 782798210 861078031 1565596420 1722156062 3131192840 3444312124 4305390155 6888624248 8610780310 17221560620 34443121240