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4244213113440 = 253535292505557
BaseRepresentation
bin111101110000101110110…
…100001010001001100000
3120000202001111202021001120
4331300232310022021200
51024014122024112230
613005433052332240
7615430362136356
oct75605664121140
916022044667046
104244213113440
111396a62724343
12586682474080
1324a2c5cb78a1
141095c73797d6
1575605c36310
hex3dc2ed0a260

4244213113440 has 96 divisors (see below), whose sum is σ = 13373065046880. Its totient is φ = 1131469000704.

The previous prime is 4244213113381. The next prime is 4244213113447. The reversal of 4244213113440 is 443113124424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244213113447) by changing a digit.

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, 441142 + ... + 2946698.

It is an arithmetic number, because the mean of its divisors is an integer number (139302760905).

Almost surely, 24244213113440 is an apocalyptic number.

4244213113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244213113440 is an abundant number, since it is smaller than the sum of its proper divisors (9128851933440).

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

4244213113440 is a wasteful number, since it uses less digits than its factorization.

4244213113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509104 (or 2509096 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4244213113440 its reverse (443113124424), we get a palindrome (4687326237864).

The spelling of 4244213113440 in words is "four trillion, two hundred forty-four billion, two hundred thirteen million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3529 7058 10587 14116 17645 21174 28232 35290 42348 52935 56464 70580 84696 105870 112928 141160 169392 211740 282320 338784 423480 564640 846960 1693920 2505557 5011114 7516671 10022228 12527785 15033342 20044456 25055570 30066684 37583355 40088912 50111140 60133368 75166710 80177824 100222280 120266736 150333420 200444560 240533472 300666840 400889120 601333680 1202667360 8842110653 17684221306 26526331959 35368442612 44210553265 53052663918 70736885224 88421106530 106105327836 132631659795 141473770448 176842213060 212210655672 265263319590 282947540896 353684426120 424421311344 530526639180 707368852240 848842622688 1061053278360 1414737704480 2122106556720 4244213113440