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2275433231440 = 245195328245199
BaseRepresentation
bin100001000111001010011…
…000111011010001010000
322001112021212001201201011
4201013022120323101100
5244240041401401230
64501153011020304
7323252233225435
oct41071230732120
98045255051634
102275433231440
117a8007814276
12308bb1b9a694
13136759834b25
147c1badbdb8c
153e2c8a43e2a
hex211ca63b450

2275433231440 has 80 divisors (see below), whose sum is σ = 5673895776000. Its totient is φ = 846000170496.

The previous prime is 2275433231419. The next prime is 2275433231443. The reversal of 2275433231440 is 441323345722.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2275433231393 and 2275433231402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275433231443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14042040 + ... + 14203159.

It is an arithmetic number, because the mean of its divisors is an integer number (70923697200).

Almost surely, 22275433231440 is an apocalyptic number.

2275433231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2275433231440 is an abundant number, since it is smaller than the sum of its proper divisors (3398462544560).

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

2275433231440 is a wasteful number, since it uses less digits than its factorization.

2275433231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245284 (or 28245278 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 2275433231440 in words is "two trillion, two hundred seventy-five billion, four hundred thirty-three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 2014 2120 4028 4240 5035 8056 10070 16112 20140 40280 80560 28245199 56490398 112980796 141225995 225961592 282451990 451923184 536658781 564903980 1073317562 1129807960 1496995547 2146635124 2259615920 2683293905 2993991094 4293270248 5366587810 5987982188 7484977735 8586540496 10733175620 11975964376 14969955470 21466351240 23951928752 28442915393 29939910940 42932702480 56885830786 59879821880 113771661572 119759643760 142214576965 227543323144 284429153930 455086646288 568858307860 1137716615720 2275433231440