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425025343400 = 235272353122861
BaseRepresentation
bin1100010111101010111…
…11000000111110101000
31111122001202011112102012
412023311133000332220
523430422441442100
6523130504055052
742464344544600
oct6136537007650
91448052145365
10425025343400
111542857a9289
126a458164488
13311061a9148
14167dda65c00
15b0c8925135
hex62f57c0fa8

425025343400 has 144 divisors (see below), whose sum is σ = 1152785887740. Its totient is φ = 145308979200.

The previous prime is 425025343381. The next prime is 425025343403. The reversal of 425025343400 is 4343520524.

It can be written as a sum of positive squares in 6 ways, for example, as 275081368324 + 149943975076 = 524482^2 + 387226^2 .

It is not an unprimeable number, because it can be changed into a prime (425025343403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3397970 + ... + 3520830.

Almost surely, 2425025343400 is an apocalyptic number.

425025343400 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 425025343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576392943870).

425025343400 is an abundant number, since it is smaller than the sum of its proper divisors (727760544340).

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

425025343400 is a wasteful number, since it uses less digits than its factorization.

425025343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123244 (or 123228 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 425025343400 its reverse (4343520524), we get a palindrome (429368863924).

The spelling of 425025343400 in words is "four hundred twenty-five billion, twenty-five million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 353 392 490 700 706 980 1225 1400 1412 1765 1960 2450 2471 2824 3530 4900 4942 7060 8825 9800 9884 12355 14120 17297 17650 19768 24710 34594 35300 49420 61775 69188 70600 86485 98840 122861 123550 138376 172970 245722 247100 345940 432425 491444 494200 614305 691880 860027 864850 982888 1228610 1720054 1729700 2457220 3071525 3440108 3459400 4300135 4914440 6020189 6143050 6880216 8600270 12040378 12286100 17200540 21500675 24080756 24572200 30100945 34401080 43001350 43369933 48161512 60201890 86002700 86739866 120403780 150504725 172005400 173479732 216849665 240807560 301009450 303589531 346959464 433699330 602018900 607179062 867398660 1084248325 1204037800 1214358124 1517947655 1734797320 2125126717 2168496650 2428716248 3035895310 4250253434 4336993300 6071790620 7589738275 8500506868 8673986600 10625633585 12143581240 15179476550 17001013736 21251267170 30358953100 42502534340 53128167925 60717906200 85005068680 106256335850 212512671700 425025343400