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1412122040241 = 31112715111231987
BaseRepresentation
bin10100100011001001000…
…010000101011110110001
311222222221012202020120020
4110203021002011132301
5141114011220241431
63000415300034053
7204010462203153
oct24431102053661
94888835666506
101412122040241
114a4972094570
121a9818992929
13a321612b153
144c4c0514ad3
1526aec48a696
hex148c90857b1

1412122040241 has 64 divisors (see below), whose sum is σ = 2086783942656. Its totient is φ = 842294376000.

The previous prime is 1412122040213. The next prime is 1412122040243. The reversal of 1412122040241 is 1420402212141.

It is a happy number.

It is not a de Polignac number, because 1412122040241 - 25 = 1412122040209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1412122040243) 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 63 ways as a sum of consecutive naturals, for example, 710679450 + ... + 710681436.

It is an arithmetic number, because the mean of its divisors is an integer number (32605999104).

Almost surely, 21412122040241 is an apocalyptic number.

1412122040241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1412122040241 is a deficient number, since it is larger than the sum of its proper divisors (674661902415).

1412122040241 is a wasteful number, since it uses less digits than its factorization.

1412122040241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1412122040241 its reverse (1420402212141), we get a palindrome (2832524252382).

The spelling of 1412122040241 in words is "one trillion, four hundred twelve billion, one hundred twenty-two million, forty thousand, two hundred forty-one".

Divisors: 1 3 11 33 127 151 381 453 1123 1397 1661 1987 3369 4191 4983 5961 12353 19177 21857 37059 57531 65571 142621 169573 210947 252349 300037 427863 508719 632841 757047 900111 1568831 1865303 2231401 2775839 3300407 4706493 5595909 6694203 8327517 9901221 21535771 24545411 38104699 64607313 73636233 114314097 236893481 283387927 336941551 419151689 710680443 850163781 1010824653 1257455067 3117267197 3706357061 9351801591 11119071183 42791576977 128374730931 470707346747 1412122040241