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214003333131444 = 223247367344630821
BaseRepresentation
bin110000101010001010001000…
…101001101110110010110100
31001001201112000020102122002200
4300222022020221232302310
5211022212311240201234
62035051435105104500
763035142044100513
oct6052121051566264
91031645006378080
10214003333131444
1162208338551a1a
1220003343328130
13925457392554c
143abbb60a1467a
1519b1ab78d6d99
hexc2a288a6ecb4

214003333131444 has 72 divisors (see below), whose sum is σ = 553967854422528. Its totient is φ = 69626453826240.

The previous prime is 214003333131443. The next prime is 214003333131463. The reversal of 214003333131444 is 444131333300412.

214003333131444 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 3 + 3 + 331 + 314 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214003333131399 and 214003333131408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214003333131443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171694447 + ... + 172936374.

Almost surely, 2214003333131444 is an apocalyptic number.

It is an amenable number.

214003333131444 is an abundant number, since it is smaller than the sum of its proper divisors (339964521291084).

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

214003333131444 is a wasteful number, since it uses less digits than its factorization.

214003333131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344631245 (or 344631240 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 214003333131444 its reverse (444131333300412), we get a palindrome (658134666431856).

The spelling of 214003333131444 in words is "two hundred fourteen trillion, three billion, three hundred thirty-three million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 367 423 564 734 846 1101 1468 1692 2202 3303 4404 6606 13212 17249 34498 51747 68996 103494 155241 206988 310482 620964 344630821 689261642 1033892463 1378523284 2067784926 3101677389 4135569852 6203354778 12406709556 16197648587 32395297174 48592945761 64790594348 97185891522 126479511307 145778837283 194371783044 252959022614 291557674566 379438533921 505918045228 583115349132 758877067842 1138315601763 1517754135684 2276631203526 4553262407052 5944537031429 11889074062858 17833611094287 23778148125716 35667222188574 53500833282861 71334444377148 107001666565722 214003333131444