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1342410323144 = 2311791491295953
BaseRepresentation
bin10011100010001101111…
…000111111010011001000
311202022222212212002111012
4103202031320333103020
5133443224020320034
62504410024023052
7165662115322352
oct23421570772310
94668885762435
101342410323144
114783496a3730
12198202601a88
139978663b2c7
1448d89d020d2
1524dbc321cce
hex1388de3f4c8

1342410323144 has 64 divisors (see below), whose sum is σ = 2799260640000. Its totient is φ = 598418795520.

The previous prime is 1342410323113. The next prime is 1342410323183. The reversal of 1342410323144 is 4413230142431.

It is a super-3 number, since 3×13424103231443 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1342410323144.

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, 387872 + ... + 1683824.

It is an arithmetic number, because the mean of its divisors is an integer number (43738447500).

Almost surely, 21342410323144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342410323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399630320000).

1342410323144 is an abundant number, since it is smaller than the sum of its proper divisors (1456850316856).

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

1342410323144 is a wasteful number, since it uses less digits than its factorization.

1342410323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296198 (or 1296194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1342410323144 its reverse (4413230142431), we get a palindrome (5755640465575).

The spelling of 1342410323144 in words is "one trillion, three hundred forty-two billion, four hundred ten million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 79 88 149 158 298 316 596 632 869 1192 1639 1738 3278 3476 6556 6952 11771 13112 23542 47084 94168 129481 258962 517924 1035848 1295953 2591906 5183812 10367624 14255483 28510966 57021932 102380287 114043864 193096997 204760574 386193994 409521148 772387988 819042296 1126183157 1544775976 2124066967 2252366314 4248133934 4504732628 8496267868 9009465256 15254662763 16992535736 30509325526 61018651052 122037302104 167801290393 335602580786 671205161572 1342410323144