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4012122033440 = 25583563536621
BaseRepresentation
bin111010011000100101000…
…110111100110100100000
3112012112222200102210200122
4322120211012330310200
51011213311220032230
612311050551135412
7562603060410353
oct72304506746440
915175880383618
104012122033440
111307593323824
125496ab674568
132314593198a1
14dc28b24629a
156e5702d3be5
hex3a6251bcd20

4012122033440 has 96 divisors (see below), whose sum is σ = 9609895463616. Its totient is φ = 1582694149120.

The previous prime is 4012122033389. The next prime is 4012122033457. The reversal of 4012122033440 is 443302212104.

It is a super-2 number, since 2×40121220334402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7208330 + ... + 7744950.

It is an arithmetic number, because the mean of its divisors is an integer number (100103077746).

Almost surely, 24012122033440 is an apocalyptic number.

4012122033440 is a gapful number since it is divisible by the number (40) 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 4012122033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804947731808).

4012122033440 is an abundant number, since it is smaller than the sum of its proper divisors (5597773430176).

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

4012122033440 is a wasteful number, since it uses less digits than its factorization.

4012122033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537282 (or 537274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4012122033440 its reverse (443302212104), we get a palindrome (4455424245544).

The spelling of 4012122033440 in words is "four trillion, twelve billion, one hundred twenty-two million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 563 664 830 1126 1328 1660 2252 2656 2815 3320 4504 5630 6640 9008 11260 13280 18016 22520 45040 46729 90080 93458 186916 233645 373832 467290 536621 747664 934580 1073242 1495328 1869160 2146484 2683105 3738320 4292968 5366210 7476640 8585936 10732420 17171872 21464840 42929680 44539543 85859360 89079086 178158172 222697715 302117623 356316344 445395430 604235246 712632688 890790860 1208470492 1425265376 1510588115 1781581720 2416940984 3021176230 3563163440 4833881968 6042352460 7126326880 9667763936 12084704920 24169409840 25075762709 48338819680 50151525418 100303050836 125378813545 200606101672 250757627090 401212203344 501515254180 802424406688 1003030508360 2006061016720 4012122033440