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1343225089864 = 237250916214153
BaseRepresentation
bin10011100010111110011…
…101000100111101001000
311202102002122222112022101
4103202332131010331020
5134001411110333424
62505022531203144
7166021240610500
oct23427635047510
94672078875271
101343225089864
114787275aaa59
121983ab4464b4
13998863915a8
14490261d2a00
1524e18b14344
hex138be744f48

1343225089864 has 96 divisors (see below), whose sum is σ = 2938012457400. Its totient is φ = 574044226560.

The previous prime is 1343225089769. The next prime is 1343225089889. The reversal of 1343225089864 is 4689805223431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1120299467364 + 222925622500 = 1058442^2 + 472150^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323432812 + ... + 323436964.

Almost surely, 21343225089864 is an apocalyptic number.

1343225089864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343225089864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469006228700).

1343225089864 is an abundant number, since it is smaller than the sum of its proper divisors (1594787367536).

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

1343225089864 is a wasteful number, since it uses less digits than its factorization.

1343225089864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 1343225089864 in words is "one trillion, three hundred forty-three billion, two hundred twenty-five million, eighty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 509 1018 1621 2036 3242 3563 4072 4153 6484 7126 8306 11347 12968 14252 16612 22694 24941 28504 29071 33224 45388 49882 58142 79429 90776 99764 116284 158858 199528 203497 232568 317716 406994 635432 813988 825089 1627976 1650178 2113877 3300356 4227754 5775623 6600712 6732013 8455508 11551246 13464026 14797139 16911016 23102492 26928052 29594278 40429361 46204984 47124091 53856104 59188556 80858722 94248182 103579973 118377112 161717444 188496364 207159946 323434888 329868637 376992728 414319892 659737274 828639784 1319474548 2638949096 3426594617 6853189234 13706378468 23986162319 27412756936 47972324638 95944649276 167903136233 191889298552 335806272466 671612544932 1343225089864