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1342311035076 = 2232116197697121
BaseRepresentation
bin10011100010000111111…
…110001111000011000100
311202022201222000201212100
4103202013332033003010
5133443023111110301
62504352115552100
7165656501353644
oct23420776170304
94668658021770
101342311035076
114782a8649080
121981952bb630
139976bbb687b
1448d7aa58524
1524db375d286
hex13887f8f0c4

1342311035076 has 144 divisors (see below), whose sum is σ = 3712846737600. Its totient is φ = 405518745600.

The previous prime is 1342311035069. The next prime is 1342311035077. The reversal of 1342311035076 is 6705301132431.

1342311035076 is a `hidden beast` number, since 1 + 3 + 4 + 231 + 1 + 0 + 350 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1342311035076.

It is not an unprimeable number, because it can be changed into a prime (1342311035077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188496796 + ... + 188503916.

It is an arithmetic number, because the mean of its divisors is an integer number (25783657900).

Almost surely, 21342311035076 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 1342311035076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856423368800).

1342311035076 is an abundant number, since it is smaller than the sum of its proper divisors (2370535702524).

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

1342311035076 is a wasteful number, since it uses less digits than its factorization.

1342311035076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1342311035076 in words is "one trillion, three hundred forty-two billion, three hundred eleven million, thirty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 619 769 1238 1538 1857 2307 2476 3076 3714 4614 5571 6809 6921 7121 7428 8459 9228 11142 13618 13842 14242 16918 20427 21363 22284 25377 27236 27684 28484 33836 40854 42726 50754 61281 64089 76131 78331 81708 85452 101508 122562 128178 152262 156662 234993 245124 256356 304524 313324 469986 476011 704979 939972 952022 1409958 1428033 1904044 2819916 2856066 4284099 4407899 5236121 5476049 5712132 8568198 8815798 10472242 10952098 13223697 15708363 16428147 17136396 17631596 20944484 21904196 26447394 31416726 32856294 39671091 47125089 48486889 49284441 52894788 60236539 62833452 65712588 79342182 94250178 96973778 98568882 120473078 145460667 158684364 180709617 188500356 193947556 197137764 240946156 290921334 361419234 436382001 542128851 581842668 722838468 872764002 1084257702 1745528004 2168515404 3389674331 6779348662 10169022993 13558697324 20338045986 30507068979 37286417641 40676091972 61014137958 74572835282 111859252923 122028275916 149145670564 223718505846 335577758769 447437011692 671155517538 1342311035076