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3250200313440 = 253254057556343
BaseRepresentation
bin101111010010111111000…
…010001111111001100000
3102111201100001022002221200
4233102333002033321200
5411222402240012230
610525042120321200
7453550664555043
oct57227702177140
912451301262850
103250200313440
111043447387423
12445ab1613200
131a7653255952
14b344c16cc5a
1559829e2a160
hex2f4bf08fe60

3250200313440 has 144 divisors (see below), whose sum is σ = 11094062380128. Its totient is φ = 866504890368.

The previous prime is 3250200313439. The next prime is 3250200313441. The reversal of 3250200313440 is 443130020523.

3250200313440 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 200 + 3 + 13 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (3250200313439) and next prime (3250200313441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250200313441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5563909 + ... + 6120251.

It is an arithmetic number, because the mean of its divisors is an integer number (77042099862).

Almost surely, 23250200313440 is an apocalyptic number.

3250200313440 is a gapful number since it is divisible by the number (30) 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 3250200313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547031190064).

3250200313440 is an abundant number, since it is smaller than the sum of its proper divisors (7843862066688).

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

3250200313440 is a wasteful number, since it uses less digits than its factorization.

3250200313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560421 (or 560410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3250200313440 its reverse (443130020523), we get a palindrome (3693330333963).

The spelling of 3250200313440 in words is "three trillion, two hundred fifty billion, two hundred million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4057 8114 12171 16228 20285 24342 32456 36513 40570 48684 60855 64912 73026 81140 97368 121710 129824 146052 162280 182565 194736 243420 292104 324560 365130 389472 486840 556343 584208 649120 730260 973680 1112686 1168416 1460520 1669029 1947360 2225372 2781715 2921040 3338058 4450744 5007087 5563430 5842080 6676116 8345145 8901488 10014174 11126860 13352232 16690290 17802976 20028348 22253720 25035435 26704464 33380580 40056696 44507440 50070870 53408928 66761160 80113392 89014880 100141740 133522320 160226784 200283480 267044640 400566960 801133920 2257083551 4514167102 6771250653 9028334204 11285417755 13542501306 18056668408 20313751959 22570835510 27085002612 33856253265 36113336816 40627503918 45141671020 54170005224 67712506530 72226673632 81255007836 90283342040 101568759795 108340010448 135425013060 162510015672 180566684080 203137519590 216680020896 270850026120 325020031344 361133368160 406275039180 541700052240 650040062688 812550078360 1083400104480 1625100156720 3250200313440