Search a number
-
+
4015345232240 = 245434517258413
BaseRepresentation
bin111010011011100101001…
…110011110100101110000
3112012212022022110021012222
4322123211032132211300
51011241411334412430
612312342451340212
7563045666221406
oct72334516364560
915185268407188
104015345232240
111308997781791
1254a24abb1668
1323185101b804
14dc4b534d476
156e6ad2659e5
hex3a6e539e970

4015345232240 has 80 divisors (see below), whose sum is σ = 9554938275168. Its totient is φ = 1568432667648.

The previous prime is 4015345232233. The next prime is 4015345232251. The reversal of 4015345232240 is 422325435104.

It is a happy number.

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

It is a super-2 number, since 2×40153452322402 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4015345232240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15409274 + ... + 15667686.

Almost surely, 24015345232240 is an apocalyptic number.

4015345232240 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 4015345232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777469137584).

4015345232240 is an abundant number, since it is smaller than the sum of its proper divisors (5539593042928).

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

4015345232240 is a wasteful number, since it uses less digits than its factorization.

4015345232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262986 (or 262980 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 4015345232240 in words is "four trillion, fifteen billion, three hundred forty-five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 4517 9034 18068 22585 36136 45170 72272 90340 180680 194231 258413 361360 388462 516826 776924 971155 1033652 1292065 1553848 1942310 2067304 2584130 3107696 3884620 4134608 5168260 7769240 10336520 11111759 15538480 20673040 22223518 44447036 55558795 88894072 111117590 177788144 222235180 444470360 888940720 1167251521 2334503042 4669006084 5836257605 9338012168 11672515210 18676024336 23345030420 46690060840 50191815403 93380121680 100383630806 200767261612 250959077015 401534523224 501918154030 803069046448 1003836308060 2007672616120 4015345232240