Search a number
-
+
214343464343412 = 22337600697803659
BaseRepresentation
bin110000101111000110111010…
…000011010101011101110100
31001002221000221120022110022210
4300233012322003111131310
5211043300403332442122
62035512010025253420
763101542601513145
oct6057067203253564
91032830846273283
10214343464343412
11623296097767a8
1220059248634270
13927a66aa57a11
143ad03c991bacc
1519ba87334a40c
hexc2f1ba0d5774

214343464343412 has 48 divisors (see below), whose sum is σ = 513653399779520. Its totient is φ = 69516597019392.

The previous prime is 214343464343399. The next prime is 214343464343413.

214343464343412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214343464343413) 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, 266307639 + ... + 267111297.

Almost surely, 2214343464343412 is an apocalyptic number.

It is an amenable number.

214343464343412 is an abundant number, since it is smaller than the sum of its proper divisors (299309935436108).

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

214343464343412 is a wasteful number, since it uses less digits than its factorization.

214343464343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404400 (or 1404398 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 48.

The spelling of 214343464343412 in words is "two hundred fourteen trillion, three hundred forty-three billion, four hundred sixty-four million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 600697 803659 1201394 1607318 1802091 2402788 2410977 3214636 3604182 4821954 7208364 9643908 22225789 29735383 44451578 59470766 66677367 88903156 89206149 118941532 133354734 178412298 266709468 356824596 482755550323 965511100646 1448266650969 1931022201292 2896533301938 5793066603876 17861955361951 35723910723902 53585866085853 71447821447804 107171732171706 214343464343412