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1332412200042 = 23711109127208337
BaseRepresentation
bin10011011000111001111…
…101001011010001101010
311201101012002121210222120
4103120321331023101222
5133312240010400132
62500033545332110
7165156262555410
oct23307175132152
94641162553876
101332412200042
11474088a50880
12196292197036
139885215a231
14486bc10b2b0
15249d46d502c
hex13639f4b46a

1332412200042 has 128 divisors (see below), whose sum is σ = 3379275694080. Its totient is φ = 340204354560.

The previous prime is 1332412200001. The next prime is 1332412200061. The reversal of 1332412200042 is 2400022142331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1332412199985 and 1332412200021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6291298 + ... + 6499634.

It is an arithmetic number, because the mean of its divisors is an integer number (26400591360).

Almost surely, 21332412200042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332412200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689637847040).

1332412200042 is an abundant number, since it is smaller than the sum of its proper divisors (2046863494038).

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

1332412200042 is a wasteful number, since it uses less digits than its factorization.

1332412200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208596.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1332412200042 its reverse (2400022142331), we get a palindrome (3732434342373).

The spelling of 1332412200042 in words is "one trillion, three hundred thirty-two billion, four hundred twelve million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 127 154 218 231 254 327 381 462 654 762 763 889 1199 1397 1526 1778 2289 2398 2667 2794 3597 4191 4578 5334 7194 8382 8393 9779 13843 16786 19558 25179 27686 29337 41529 50358 58674 83058 96901 152273 193802 208337 290703 304546 416674 456819 581406 625011 913638 1065911 1250022 1458359 2131822 2291707 2916718 3197733 4375077 4583414 6395466 6875121 8750154 13750242 16041949 22708733 26458799 32083898 45417466 48125847 52917598 68126199 79376397 96251694 136252398 158752794 158961131 185211593 249796063 291046789 317922262 370423186 476883393 499592126 555634779 582093578 749388189 873140367 953766786 1111269558 1498776378 1746280734 1748572441 2037327523 2884009091 3497144882 4074655046 5245717323 5768018182 6111982569 8652027273 10491434646 12223965138 17304054546 20188063637 31724100001 40376127274 60564190911 63448200002 95172300003 121128381822 190344600006 222068700007 444137400014 666206100021 1332412200042