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2230141341040 = 2451031132395117
BaseRepresentation
bin100000011100111110110…
…010000100110101110000
321220012101101101022021221
4200130332302010311300
5243014312140403130
64424302432354424
7320056660424644
oct40347662046560
97805341338257
102230141341040
1178a885713698
123002719a5a14
131323bc305192
1479d21a8cc24
153d02769987a
hex2073ec84d70

2230141341040 has 80 divisors (see below), whose sum is σ = 5281752535488. Its totient is φ = 875577765888.

The previous prime is 2230141341011. The next prime is 2230141341041. The reversal of 2230141341040 is 401431410322.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230141340996 and 2230141341014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230141341041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266439 + ... + 2128678.

Almost surely, 22230141341040 is an apocalyptic number.

2230141341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230141341040 is an abundant number, since it is smaller than the sum of its proper divisors (3051611194448).

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

2230141341040 is a wasteful number, since it uses less digits than its factorization.

2230141341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395346 (or 2395340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2230141341040 its reverse (401431410322), we get a palindrome (2631572751362).

The spelling of 2230141341040 in words is "two trillion, two hundred thirty billion, one hundred forty-one million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 113 206 226 412 452 515 565 824 904 1030 1130 1648 1808 2060 2260 4120 4520 8240 9040 11639 23278 46556 58195 93112 116390 186224 232780 465560 931120 2395117 4790234 9580468 11975585 19160936 23951170 38321872 47902340 95804680 191609360 246697051 270648221 493394102 541296442 986788204 1082592884 1233485255 1353241105 1973576408 2165185768 2466970510 2706482210 3947152816 4330371536 4933941020 5412964420 9867882040 10825928840 19735764080 21651857680 27876766763 55753533526 111507067052 139383833815 223014134104 278767667630 446028268208 557535335260 1115070670520 2230141341040