Search a number
-
+
1340122004415 = 3252313110939043
BaseRepresentation
bin10011100000000101011…
…111101111101110111111
311202010002101222110022200
4103200011133233232333
5133424032213120130
62503351001242543
7165551321042235
oct23400537575677
94663071873280
101340122004415
11477384a30a27
12197884193453
13994b052605c
1448c10034955
1524cd64ab760
hex138057efbbf

1340122004415 has 96 divisors (see below), whose sum is σ = 2444880582144. Its totient is φ = 677742024960.

The previous prime is 1340122004413. The next prime is 1340122004447. The reversal of 1340122004415 is 5144002210431.

1340122004415 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 12 + 200 + 441 + 5 = 666.

It is not a de Polignac number, because 1340122004415 - 21 = 1340122004413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340122004413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148189884 + ... + 148198926.

It is an arithmetic number, because the mean of its divisors is an integer number (25467506064).

Almost surely, 21340122004415 is an apocalyptic number.

1340122004415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1340122004415 is a deficient number, since it is larger than the sum of its proper divisors (1104758577729).

1340122004415 is a wasteful number, since it uses less digits than its factorization.

1340122004415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1340122004415 its reverse (5144002210431), we get a palindrome (6484124214846).

The spelling of 1340122004415 in words is "one trillion, three hundred forty billion, one hundred twenty-two million, four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 23 45 69 115 131 207 345 393 655 1035 1093 1179 1965 3013 3279 5465 5895 9039 9043 9837 15065 16395 25139 27117 27129 45195 45215 49185 75417 81387 125695 135585 135645 143183 207989 226251 377085 406935 429549 623967 715915 1039945 1131255 1184633 1288647 1871901 2147745 3119835 3293209 3553899 5923165 6443235 9359505 9879627 9883999 10661697 16466045 17769495 27246559 29638881 29651997 49398135 49419995 53308485 81739677 88955991 136232795 148194405 148259985 227331977 245219031 408698385 444779955 681995931 1136659885 1226095155 1294803869 2045987793 3409979655 3884411607 6474019345 10229938965 11653234821 19422058035 29780488987 58266174105 89341466961 148902444935 268024400883 446707334805 1340122004415