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2142402423104 = 263137108726849
BaseRepresentation
bin11111001011010001001…
…000101010100101000000
321120210220201010110122202
4133023101020222211000
5240100120010014404
64320112303052332
7310532505062246
oct37132110524500
97523821113582
102142402423104
11756651351a69
122a72662a10a8
13127048a7cba8
147599b1ac796
153aadeaa321e
hex1f2d122a940

2142402423104 has 112 divisors (see below), whose sum is σ = 4511391129600. Its totient is φ = 1007663431680.

The previous prime is 2142402423103. The next prime is 2142402423157. The reversal of 2142402423104 is 4013242042412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142402423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79781072 + ... + 79807920.

Almost surely, 22142402423104 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 2142402423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255695564800).

2142402423104 is an abundant number, since it is smaller than the sum of its proper divisors (2368988706496).

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

2142402423104 is a wasteful number, since it uses less digits than its factorization.

2142402423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28016 (or 28006 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2142402423104 its reverse (4013242042412), we get a palindrome (6155644465516).

The spelling of 2142402423104 in words is "two trillion, one hundred forty-two billion, four hundred two million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 248 296 496 592 992 1087 1147 1184 1984 2174 2294 2368 4348 4588 8696 9176 17392 18352 26849 33697 34784 36704 40219 53698 67394 69568 73408 80438 107396 134788 160876 214792 269576 321752 429584 539152 643504 832319 859168 993413 1078304 1246789 1287008 1664638 1718336 1986826 2156608 2493578 2574016 3329276 3973652 4987156 6658552 7947304 9974312 13317104 15894608 19948624 26634208 29184863 30795803 31789216 39897248 53268416 58369726 61591606 63578432 79794496 116739452 123183212 233478904 246366424 466957808 492732848 904730753 933915616 985465696 1079839931 1809461506 1867831232 1970931392 2159679862 3618923012 4319359724 7237846024 8638719448 14475692048 17277438896 28951384096 33475037861 34554877792 57902768192 66950075722 69109755584 133900151444 267800302888 535600605776 1071201211552 2142402423104