Search a number
-
+
245003014043040 = 25351146402085993
BaseRepresentation
bin110111101101010000110101…
…100111101111010110100000
31012010111001121022010110001210
4313231100311213233112200
5224103112133043334130
62225024455243430120
7102414612041155131
oct6755206547572640
91163431538113053
10245003014043040
117107a216237040
122358b285825340
13a6928ba1ab006
1444702cdca5c88
151d4d155de75b0
hexded4359ef5a0

245003014043040 has 96 divisors (see below), whose sum is σ = 841919448275136. Its totient is φ = 59394670069760.

The previous prime is 245003014043033. The next prime is 245003014043089. The reversal of 245003014043040 is 40340410300542.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 245003014042989 and 245003014043007.

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, 23201037717 + ... + 23201048276.

It is an arithmetic number, because the mean of its divisors is an integer number (8769994252866).

Almost surely, 2245003014043040 is an apocalyptic number.

245003014043040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245003014043040 is an abundant number, since it is smaller than the sum of its proper divisors (596916434232096).

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

245003014043040 is a wasteful number, since it uses less digits than its factorization.

245003014043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46402086022 (or 46402086014 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 245003014043040 its reverse (40340410300542), we get a palindrome (285343424343582).

The spelling of 245003014043040 in words is "two hundred forty-five trillion, three billion, fourteen million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 46402085993 92804171986 139206257979 185608343972 232010429965 278412515958 371216687944 464020859930 510422945923 556825031916 696031289895 742433375888 928041719860 1020845891846 1113650063832 1392062579790 1484866751776 1531268837769 1856083439720 2041691783692 2227300127664 2552114729615 2784125159580 3062537675538 3712166879440 4083383567384 4454600255328 5104229459230 5568250319160 6125075351076 7424333758880 7656344188845 8166767134768 10208458918460 11136500638320 12250150702152 15312688377690 16333534269536 20416917836920 22273001276640 24500301404304 30625376755380 40833835673840 49000602808608 61250753510760 81667671347680 122501507021520 245003014043040