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1025234401224 = 2331171115147521
BaseRepresentation
bin11101110101101001011…
…10110111011111001000
310122000022100101211022210
432322310232313133020
5113244140001314344
62102553003145120
7134033156423625
oct16726456673710
93560270354283
101025234401224
11365888101040
12146844b151a0
13758aa2426b7
143789b9a934c
151ba06cdadb9
hexeeb4bb77c8

1025234401224 has 128 divisors (see below), whose sum is σ = 2837998632960. Its totient is φ = 306028800000.

The previous prime is 1025234401207. The next prime is 1025234401231. The reversal of 1025234401224 is 4221044325201.

It is a happy number.

It is a super-2 number, since 2×10252344012242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1025234401191 and 1025234401200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21550584 + ... + 21598104.

It is an arithmetic number, because the mean of its divisors is an integer number (22171864320).

Almost surely, 21025234401224 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 1025234401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418999316480).

1025234401224 is an abundant number, since it is smaller than the sum of its proper divisors (1812764231736).

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

1025234401224 is a wasteful number, since it uses less digits than its factorization.

1025234401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48763 (or 48759 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1025234401224 its reverse (4221044325201), we get a palindrome (5246278726425).

The spelling of 1025234401224 in words is "one trillion, twenty-five billion, two hundred thirty-four million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1151 1562 1704 2302 2343 3124 3453 4604 4686 6248 6906 9208 9372 12661 13812 18744 25322 27624 37983 47521 50644 75966 81721 95042 101288 142563 151932 163442 190084 245163 285126 303864 326884 380168 490326 522731 570252 653768 898931 980652 1045462 1140504 1568193 1797862 1961304 2090924 2696793 3136386 3373991 3595724 4181848 5393586 6272772 6747982 7191448 10121973 10787172 12545544 13495964 20243946 21574344 26991928 37113901 40487892 54696671 74227802 80975784 109393342 111341703 148455604 164090013 218786684 222683406 296911208 328180026 437573368 445366812 601663381 656360052 890733624 1203326762 1312720104 1804990143 2406653524 3609980286 3883463641 4813307048 7219960572 7766927282 11650390923 14439921144 15533854564 23300781846 31067709128 42718100051 46601563692 85436200102 93203127384 128154300153 170872400204 256308600306 341744800408 512617200612 1025234401224