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1314401103312 = 243112637194399
BaseRepresentation
bin10011001000001000011…
…010010010110111010000
311122122200212120022002220
4103020020122102313100
5133013343140301222
62443454425141040
7163651041015333
oct23101032226720
94578625508086
101314401103312
1146748617a270
121928a632a780
1396c41842b4b
144789003261a
15242cd388b5c
hex13208692dd0

1314401103312 has 80 divisors (see below), whose sum is σ = 3704400998400. Its totient is φ = 398284041600.

The previous prime is 1314401103247. The next prime is 1314401103319. The reversal of 1314401103312 is 2133011044131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314401103319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13876689 + ... + 13971087.

It is an arithmetic number, because the mean of its divisors is an integer number (46305012480).

Almost surely, 21314401103312 is an apocalyptic number.

1314401103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314401103312 is an abundant number, since it is smaller than the sum of its proper divisors (2389999895088).

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

1314401103312 is a wasteful number, since it uses less digits than its factorization.

1314401103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120792 (or 120786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1314401103312 its reverse (2133011044131), we get a palindrome (3447412147443).

The spelling of 1314401103312 in words is "one trillion, three hundred fourteen billion, four hundred one million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 26371 52742 79113 94399 105484 158226 188798 210968 283197 290081 316452 377596 421936 566394 580162 632904 755192 870243 1038389 1132788 1160324 1265808 1510384 1740486 2076778 2265576 2320648 3115167 3480972 4153556 4531152 4641296 6230334 6961944 8307112 12460668 13923888 16614224 24921336 49842672 2489396029 4978792058 7468188087 9957584116 14936376174 19915168232 27383356319 29872752348 39830336464 54766712638 59745504696 82150068957 109533425276 119491009392 164300137914 219066850552 328600275828 438133701104 657200551656 1314401103312