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4014433040 = 245173195219
BaseRepresentation
bin1110111101000111…
…0110001100010000
3101100202212022212012
43233101312030100
531210143324130
61502203122052
7201324055262
oct35721661420
911322768765
104014433040
111780051a62
12940513328
134bc905c87
142a122db32
15187676995
hexef476310

4014433040 has 80 divisors (see below), whose sum is σ = 10201489920. Its totient is φ = 1462548480.

The previous prime is 4014433019. The next prime is 4014433051. The reversal of 4014433040 is 403344104.

4014433040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×40144330402 = 32231345265287283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014432997 and 4014433015.

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, 5450 + ... + 89769.

It is an arithmetic number, because the mean of its divisors is an integer number (127518624).

Almost surely, 24014433040 is an apocalyptic number.

4014433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100744960).

4014433040 is an abundant number, since it is smaller than the sum of its proper divisors (6187056880).

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

4014433040 is a wasteful number, since it uses less digits than its factorization.

4014433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95280 (or 95274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4014433040 is about 63359.5536600440. The cubic root of 4014433040 is about 1589.3080121079.

Adding to 4014433040 its reverse (403344104), we get a palindrome (4417777144).

The spelling of 4014433040 in words is "four billion, fourteen million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 95219 190438 380876 476095 761752 952190 1523504 1618723 1904380 2951789 3237446 3808760 5903578 6474892 7617520 8093615 11807156 12949784 14758945 16187230 23614312 25899568 29517890 32374460 47228624 50180413 59035780 64748920 100360826 118071560 129497840 200721652 236143120 250902065 401443304 501804130 802886608 1003608260 2007216520 4014433040