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7140458540448 = 253319434969453
BaseRepresentation
bin110011111101000010001…
…1111101010110110100000
3221021121202211111010101000
41213322010133222312200
51413442124341243243
623104140435312000
71334611135106142
oct147720437526640
927247684433330
107140458540448
112303284770732
12973a5114b600
133ca45b1b771c
141a9858706c92
15c5b167e95d3
hex67e847eada0

7140458540448 has 96 divisors (see below), whose sum is σ = 21922460481600. Its totient is φ = 2254881639168.

The previous prime is 7140458540447. The next prime is 7140458540461. The reversal of 7140458540448 is 8440458540417.

7140458540448 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 4 + 58 + 540 + 4 + 48 = 666.

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

It is a super-2 number, since 2×71404585404482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7140458540394 and 7140458540403.

It is not an unprimeable number, because it can be changed into a prime (7140458540443) 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 15 ways as a sum of consecutive naturals, for example, 217468311 + ... + 217501142.

It is an arithmetic number, because the mean of its divisors is an integer number (228358963350).

Almost surely, 27140458540448 is an apocalyptic number.

It is an amenable number.

7140458540448 is an abundant number, since it is smaller than the sum of its proper divisors (14782001941152).

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

7140458540448 is a wasteful number, since it uses less digits than its factorization.

7140458540448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434969491 (or 434969477 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 54.

The spelling of 7140458540448 in words is "seven trillion, one hundred forty billion, four hundred fifty-eight million, five hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 434969453 869938906 1304908359 1739877812 2609816718 3479755624 3914725077 5219633436 6959511248 7829450154 8264419607 10439266872 11744175231 13919022496 15658900308 16528839214 20878533744 23488350462 24793258821 31317800616 33057678428 41757067488 46976700924 49586517642 62635601232 66115356856 74379776463 93953401848 99173035284 125271202464 132230713712 148759552926 187906803696 198346070568 223139329389 264461427424 297519105852 375813607392 396692141136 446278658778 595038211704 793384282272 892557317556 1190076423408 1785114635112 2380152846816 3570229270224 7140458540448