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14012033413240 = 235794549974761
BaseRepresentation
bin1100101111100110111001…
…0001100011000001111000
31211121112111200220200110101
43023321232101203001320
53314033121023210430
645445012252525144
72644223151600022
oct313715621430170
954545450820411
1014012033413240
114512519629105
1216a37617807b4
137a8437cb7205
143662866a7012
1519474256ddca
hexcbe6e463078

14012033413240 has 64 divisors (see below), whose sum is σ = 31933203120000. Its totient is φ = 5532644183040.

The previous prime is 14012033413163. The next prime is 14012033413277. The reversal of 14012033413240 is 4231433021041.

It is a happy number.

14012033413240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14012033413199 and 14012033413208.

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, 13887460 + ... + 14862220.

It is an arithmetic number, because the mean of its divisors is an integer number (498956298750).

Almost surely, 214012033413240 is an apocalyptic number.

14012033413240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012033413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966601560000).

14012033413240 is an abundant number, since it is smaller than the sum of its proper divisors (17921169706760).

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

14012033413240 is a wasteful number, since it uses less digits than its factorization.

14012033413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979400 (or 979396 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14012033413240 its reverse (4231433021041), we get a palindrome (18243466434281).

The spelling of 14012033413240 in words is "fourteen trillion, twelve billion, thirty-three million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4549 9098 18196 22745 36392 45490 90980 181960 359371 718742 974761 1437484 1796855 1949522 2874968 3593710 3899044 4873805 7187420 7798088 9747610 14374840 19495220 38990440 77006119 154012238 308024476 385030595 616048952 770061190 1540122380 3080244760 4434187789 8868375578 17736751156 22170938945 35473502312 44341877890 88683755780 177367511560 350300835331 700601670662 1401203341324 1751504176655 2802406682648 3503008353310 7006016706620 14012033413240