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2441131022440 = 2351137369740559
BaseRepresentation
bin100011100001011110101…
…111110101100001101000
322122100222121200122120101
4203201132233311201220
5304443414020204230
65105235021435144
7341236334220265
oct43413657654150
98570877618511
102441131022440
11861306905110
12335135a0bab4
131492753780c6
148621951626c
1543775820aca
hex2385ebf5868

2441131022440 has 128 divisors (see below), whose sum is σ = 6155625715200. Its totient is φ = 863437639680.

The previous prime is 2441131022437. The next prime is 2441131022471. The reversal of 2441131022440 is 442201311442.

It is a junction number, because it is equal to n+sod(n) for n = 2441131022399 and 2441131022408.

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, 60166881 + ... + 60207439.

It is an arithmetic number, because the mean of its divisors is an integer number (48090825900).

Almost surely, 22441131022440 is an apocalyptic number.

2441131022440 is a gapful number since it is divisible by the number (20) 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 2441131022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077812857600).

2441131022440 is an abundant number, since it is smaller than the sum of its proper divisors (3714494692760).

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

2441131022440 is a wasteful number, since it uses less digits than its factorization.

2441131022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44315 (or 44311 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2441131022440 its reverse (442201311442), we get a palindrome (2883332333882).

The spelling of 2441131022440 in words is "two trillion, four hundred forty-one billion, one hundred thirty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 3697 4070 7394 8140 14788 16280 18485 29576 36970 40559 40667 73940 81118 81334 136789 147880 162236 162668 202795 203335 273578 324472 325336 405590 406670 446149 547156 683945 811180 813340 892298 1094312 1367890 1500683 1504679 1622360 1626680 1784596 2230745 2735780 3001366 3009358 3569192 4461490 5471560 6002732 6018716 7503415 7523395 8922980 12005464 12037432 15006830 15046790 16507513 17845960 30013660 30093580 33015026 60027320 60187160 66030052 82537565 132060104 149946623 165075130 299893246 330150260 599786492 660300520 749733115 1199572984 1499466230 1649412853 2998932460 3298825706 5548025051 5997864920 6597651412 8247064265 11096050102 13195302824 16494128530 22192100204 27740125255 32988257060 44384200408 55480250510 61028275561 65976514120 110960501020 122056551122 221921002040 244113102244 305141377805 488226204488 610282755610 1220565511220 2441131022440