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14138862815040 = 263597151834867
BaseRepresentation
bin1100110110111111010111…
…1001010100011101000000
31212001122212122210212000020
43031233311321110131000
53323122342340040130
650023145351053440
72656333125661605
oct315576571243500
955048778725006
1014138862815040
114561292506947
121704258671280
137b739b045b22
1436c478a3c6ac
15197bb6d90e10
hexcdbf5e54740

14138862815040 has 112 divisors (see below), whose sum is σ = 45353682411072. Its totient is φ = 3731493666816.

The previous prime is 14138862814903. The next prime is 14138862815059. The reversal of 14138862815040 is 4051826883141.

It is a happy number.

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, 75824314 + ... + 76010553.

It is an arithmetic number, because the mean of its divisors is an integer number (404943592956).

Almost surely, 214138862815040 is an apocalyptic number.

14138862815040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14138862815040 is an abundant number, since it is smaller than the sum of its proper divisors (31214819596032).

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

14138862815040 is a wasteful number, since it uses less digits than its factorization.

14138862815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151834984 (or 151834974 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 14138862815040 in words is "fourteen trillion, one hundred thirty-eight billion, eight hundred sixty-two million, eight hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 23280 31040 46560 93120 151834867 303669734 455504601 607339468 759174335 911009202 1214678936 1518348670 1822018404 2277523005 2429357872 3036697340 3644036808 4555046010 4858715744 6073394680 7288073616 9110092020 9717431488 12146789360 14576147232 14727982099 18220184040 24293578720 29152294464 29455964198 36440368080 44183946297 48587157440 58911928396 72880736160 73639910495 88367892594 117823856792 145761472320 147279820990 176735785188 220919731485 235647713584 294559641980 353471570376 441839462970 471295427168 589119283960 706943140752 883678925940 942590854336 1178238567920 1413886281504 1767357851880 2356477135840 2827772563008 3534715703760 4712954271680 7069431407520 14138862815040