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7140458540416 = 27415988725999
BaseRepresentation
bin110011111101000010001…
…1111101010110110000000
3221021121202211111010022211
41213322010133222312000
51413442124341243131
623104140435311504
71334611135106065
oct147720437526600
927247684433284
107140458540416
112303284770703
12973a5114b594
133ca45b1b76c6
141a9858706c6c
15c5b167e95b1
hex67e847ead80

7140458540416 has 128 divisors (see below), whose sum is σ = 14836348800000. Its totient is φ = 3420122173440.

The previous prime is 7140458540359. The next prime is 7140458540443. The reversal of 7140458540416 is 6140458540417.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×71404585404162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7140458540416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274630585 + ... + 274656583.

It is an arithmetic number, because the mean of its divisors is an integer number (115908975000).

Almost surely, 27140458540416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7140458540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418174400000).

7140458540416 is an abundant number, since it is smaller than the sum of its proper divisors (7695890259584).

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

7140458540416 is a wasteful number, since it uses less digits than its factorization.

7140458540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27000 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

Subtracting from 7140458540416 its reverse (6140458540417), we obtain a palindrome (999999999999).

The spelling of 7140458540416 in words is "seven trillion, one hundred forty billion, four hundred fifty-eight million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 128 164 236 328 472 656 887 944 1312 1774 1888 2419 2624 3548 3776 4838 5248 7096 7552 9676 14192 19352 25999 28384 36367 38704 51998 52333 56768 72734 77408 103996 104666 113536 145468 154816 207992 209332 290936 309632 415984 418664 581872 831968 837328 1065959 1163744 1533941 1663936 1674656 2131918 2145653 2327488 3067882 3327872 3349312 4263836 4291306 4654976 6135764 6698624 8527672 8582612 12271528 17055344 17165224 23061113 24543056 34110688 34330448 46122226 49086112 62891581 68221376 68660896 92244452 98172224 125783162 136442752 137321792 184488904 196344448 251566324 274643584 368977808 503132648 737955616 945505633 1006265296 1360605667 1475911232 1891011266 2012530592 2721211334 2951822464 3782022532 4025061184 5442422668 7564045064 8050122368 10884845336 15128090128 21769690672 30256180256 43539381344 55784832347 60512360512 87078762688 111569664694 121024721024 174157525376 223139329388 446278658776 892557317552 1785114635104 3570229270208 7140458540416