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14122022300040 = 23351721132808341
BaseRepresentation
bin1100110110000000101000…
…0111110110100110001000
31212000001102000102001101110
43031200022013312212020
53322333400202100130
650011322324250320
72655165606653334
oct315401207664610
955001360361343
1014122022300040
114555130478756
121700b388409a0
137b59160c2955
1436b71c1d67c4
1519752d6bdab0
hexcd80a1f6988

14122022300040 has 128 divisors (see below), whose sum is σ = 45070787905920. Its totient is φ = 3527552716800.

The previous prime is 14122022300027. The next prime is 14122022300093. The reversal of 14122022300040 is 4000322022141.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15973731 + ... + 16834610.

It is an arithmetic number, because the mean of its divisors is an integer number (352115530515).

Almost surely, 214122022300040 is an apocalyptic number.

14122022300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122022300040 is an abundant number, since it is smaller than the sum of its proper divisors (30948765605880).

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

14122022300040 is a wasteful number, since it uses less digits than its factorization.

14122022300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32808583 (or 32808579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14122022300040 its reverse (4000322022141), we get a palindrome (18122344322181).

The spelling of 14122022300040 in words is "fourteen trillion, one hundred twenty-two billion, twenty-two million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 211 255 340 408 422 510 633 680 844 1020 1055 1266 1688 2040 2110 2532 3165 3587 4220 5064 6330 7174 8440 10761 12660 14348 17935 21522 25320 28696 35870 43044 53805 71740 86088 107610 143480 215220 430440 32808341 65616682 98425023 131233364 164041705 196850046 262466728 328083410 393700092 492125115 557741797 656166820 787400184 984250230 1115483594 1312333640 1673225391 1968500460 2230967188 2788708985 3346450782 3937000920 4461934376 5577417970 6692901564 6922559951 8366126955 11154835940 13385803128 13845119902 16732253910 20767679853 22309671880 27690239804 33464507820 34612799755 41535359706 55380479608 66929015640 69225599510 83070719412 103838399265 117683519167 138451199020 166141438824 207676798530 235367038334 276902398040 353050557501 415353597060 470734076668 588417595835 706101115002 830707194120 941468153336 1176835191670 1412202230004 1765252787505 2353670383340 2824404460008 3530505575010 4707340766680 7061011150020 14122022300040