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1422253263424 = 26717734925411
BaseRepresentation
bin10100101100100100111…
…001101000101001000000
312000222002021102201001111
4110230210321220221000
5141300233313412144
63005212451213104
7204516522162040
oct24544471505100
95028067381044
101422253263424
114a91a0986494
121ab7858a7194
13a416c071a76
144cba1c75720
1526ee1b19534
hex14b24e68a40

1422253263424 has 112 divisors (see below), whose sum is σ = 3415799721600. Its totient is φ = 573581352960.

The previous prime is 1422253263401. The next prime is 1422253263439. The reversal of 1422253263424 is 4243623522241.

It is a tau number, because it is divible by the number of its divisors (112).

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, 55957279 + ... + 55982689.

It is an arithmetic number, because the mean of its divisors is an integer number (30498211800).

Almost surely, 21422253263424 is an apocalyptic number.

1422253263424 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 1422253263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707899860800).

1422253263424 is an abundant number, since it is smaller than the sum of its proper divisors (1993546458176).

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

1422253263424 is a wasteful number, since it uses less digits than its factorization.

1422253263424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32796 (or 32786 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

Adding to 1422253263424 its reverse (4243623522241), we get a palindrome (5665876785665).

The spelling of 1422253263424 in words is "one trillion, four hundred twenty-two billion, two hundred fifty-three million, two hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7349 7616 14698 25411 29396 50822 51443 58792 101644 102886 117584 124933 177877 203288 205772 235168 249866 355754 406576 411544 431987 470336 499732 711508 813152 823088 863974 874531 999464 1423016 1626304 1646176 1727948 1749062 1998928 2846032 3023909 3292352 3455896 3498124 3997856 5692064 6047818 6911792 6996248 7995712 11384128 12095636 13823584 13992496 24191272 27647168 27984992 48382544 55969984 96765088 186745439 193530176 373490878 746981756 1307218073 1493963512 2614436146 2987927024 3174672463 5228872292 5975854048 6349344926 10457744584 11951708096 12698689852 20915489168 22222707241 25397379704 41830978336 44445414482 50794759408 83661956672 88890828964 101589518816 177781657928 203179037632 355563315856 711126631712 1422253263424