Search a number
-
+
214554132116112 = 243163718771454731
BaseRepresentation
bin110000110010001011000110…
…110101000111001010010000
31001010200011201100220010212210
4300302023012311013022100
5211110223330310203422
62040152450234552120
763123011256160245
oct6062130665071220
91033604640803783
10214554132116112
11623aa99518a478
1220092040898640
1392944a21cba19
143ada69270b5cc
1519c10a30d610c
hexc322c6d47290

214554132116112 has 80 divisors (see below), whose sum is σ = 554899281797952. Its totient is φ = 71436227412480.

The previous prime is 214554132116089. The next prime is 214554132116119. The reversal of 214554132116112 is 211611231455412.

It is not an unprimeable number, because it can be changed into a prime (214554132116119) 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, 146759787 + ... + 148214517.

Almost surely, 2214554132116112 is an apocalyptic number.

It is an amenable number.

214554132116112 is an abundant number, since it is smaller than the sum of its proper divisors (340345149681840).

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

214554132116112 is a wasteful number, since it uses less digits than its factorization.

214554132116112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458256 (or 1458250 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The spelling of 214554132116112 in words is "two hundred fourteen trillion, five hundred fifty-four billion, one hundred thirty-two million, one hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1637 1877 3274 3754 4911 5631 6548 7508 9822 11262 13096 15016 19644 22524 26192 30032 39288 45048 78576 90096 1454731 2909462 3072649 4364193 5818924 6145298 8728386 9217947 11637848 12290596 17456772 18435894 23275696 24581192 34913544 36871788 49162384 69827088 73743576 147487152 2381394647 2730530087 4762789294 5461060174 7144183941 8191590261 9525578588 10922120348 14288367882 16383180522 19051157176 21844240696 28576735764 32766361044 38102314352 43688481392 57153471528 65532722088 114306943056 131065444176 4469877752419 8939755504838 13409633257257 17879511009676 26819266514514 35759022019352 53638533029028 71518044038704 107277066058056 214554132116112