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4225150024000 = 26531453336341
BaseRepresentation
bin111101011110111110100…
…100001111100101000000
3112221220211222011222110221
4331132332210033211000
51023211101401232000
612553001312232424
7614154104431213
oct75367644174500
915856758158427
104225150024000
111389970048074
12582a4223b714
1324857875abc9
141086d969b77a
1574d8c38861a
hex3d7be90f940

4225150024000 has 112 divisors (see below), whose sum is σ = 10464591969936. Its totient is φ = 1689897216000.

The previous prime is 4225150023979. The next prime is 4225150024027. The reversal of 4225150024000 is 4200515224.

It can be written as a sum of positive squares in 8 ways, for example, as 701600563456 + 3523549460544 = 837616^2 + 1877112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116245830 + ... + 116282170.

Almost surely, 24225150024000 is an apocalyptic number.

4225150024000 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 4225150024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232295984968).

4225150024000 is an abundant number, since it is smaller than the sum of its proper divisors (6239441945936).

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

4225150024000 is a wasteful number, since it uses less digits than its factorization.

4225150024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50901 (or 50881 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 4225150024000 its reverse (4200515224), we get a palindrome (4229350539224).

The spelling of 4225150024000 in words is "four trillion, two hundred twenty-five billion, one hundred fifty million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 14533 29066 36341 58132 72665 72682 116264 145330 145364 181705 232528 290660 290728 363325 363410 465056 581320 581456 726650 726820 908525 930112 1162640 1162912 1453300 1453640 1816625 1817050 2325280 2325824 2906600 2907280 3633250 3634100 4542625 4650560 5813200 5814560 7266500 7268200 9085250 11626400 11629120 14533000 14536400 18170500 23252800 29066000 29072800 36341000 58132000 58145600 72682000 116264000 145364000 290728000 528143753 1056287506 2112575012 2640718765 4225150024 5281437530 8450300048 10562875060 13203593825 16900600096 21125750120 26407187650 33801200192 42251500240 52814375300 66017969125 84503000480 105628750600 132035938250 169006000960 211257501200 264071876500 422515002400 528143753000 845030004800 1056287506000 2112575012000 4225150024000