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14600228864 = 21213171272
BaseRepresentation
bin11011001100011110…
…11101000000000000
31101200111220110210012
431212033131000000
5214400124310424
610412433324052
71024543616624
oct154617350000
941614813705
1014600228864
1162124a3051
1229b5706628
1314b8a879a0
149c70bd184
155a6b98b0e
hex3663dd000

14600228864 has 156 divisors (see below), whose sum is σ = 33556593924. Its totient is φ = 6292242432.

The previous prime is 14600228861. The next prime is 14600228869. The reversal of 14600228864 is 46882200641.

It can be written as a sum of positive squares in 2 ways, for example, as 6606438400 + 7993790464 = 81280^2 + 89408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14600228861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114962369 + ... + 114962495.

Almost surely, 214600228864 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 14600228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778296962).

14600228864 is an abundant number, since it is smaller than the sum of its proper divisors (18956365060).

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

14600228864 is an equidigital number, since it uses as much as digits as its factorization.

14600228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 14600228864 in words is "fourteen billion, six hundred million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 127 128 136 208 221 254 256 272 416 442 508 512 544 832 884 1016 1024 1088 1651 1664 1768 2032 2048 2159 2176 3302 3328 3536 4064 4096 4318 4352 6604 6656 7072 8128 8636 8704 13208 13312 14144 16129 16256 17272 17408 26416 26624 28067 28288 32258 32512 34544 34816 52832 53248 56134 56576 64516 65024 69088 69632 105664 112268 113152 129032 130048 138176 209677 211328 224536 226304 258064 260096 274193 276352 419354 422656 449072 452608 516128 520192 548386 552704 838708 845312 898144 905216 1032256 1096772 1105408 1677416 1690624 1796288 2064512 2193544 2210816 3354832 3381248 3564509 3592576 4129024 4387088 4421632 6709664 6762496 7129018 7185152 8258048 8774176 8843264 13419328 14258036 14370304 16516096 17548352 26838656 28516072 28740608 33032192 35096704 53677312 57032144 57481216 66064384 70193408 107354624 114064288 114962432 140386816 214709248 228128576 280773632 429418496 456257152 561547264 858836992 912514304 1123094528 1825028608 3650057216 7300114432 14600228864