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22141400214321 = 323189211388663
BaseRepresentation
bin1010000100011001100100…
…10010110110101100110001
32220101200211020202111022200
411002030302102312230301
510400231041423324241
6115031341400253413
74443443352353523
oct502146222665461
986350736674280
1022141400214321
11706712a217783
12259719a171269
13c47c0453227b
145679142a5a13
15285e3696d4b6
hex1423324b6b31

22141400214321 has 72 divisors (see below), whose sum is σ = 33684665104896. Its totient is φ = 13999119805440.

The previous prime is 22141400214293. The next prime is 22141400214343. The reversal of 22141400214321 is 12341200414122.

22141400214321 is a `hidden beast` number, since 2 + 2 + 1 + 41 + 400 + 214 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 22141400214321 - 211 = 22141400212273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22141400214361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249681036 + ... + 249769698.

Almost surely, 222141400214321 is an apocalyptic number.

It is an amenable number.

22141400214321 is a deficient number, since it is larger than the sum of its proper divisors (11543264890575).

22141400214321 is a wasteful number, since it uses less digits than its factorization.

22141400214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88991 (or 88899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22141400214321 its reverse (12341200414122), we get a palindrome (34482600628443).

The spelling of 22141400214321 in words is "twenty-two trillion, one hundred forty-one billion, four hundred million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 31 89 93 113 267 279 339 801 1017 2759 3503 7921 8277 10057 10509 23763 24831 30171 31527 71289 88663 90513 245551 265989 311767 736653 797967 895073 935301 2209959 2685219 2748553 2805903 7891007 8055657 8245659 10018919 23673021 24736977 27747263 30056757 71019063 83241789 90170271 244621217 249725367 310586489 702299623 733863651 891683791 931759467 2106898869 2201590953 2675051373 2795278401 6320696607 8025154119 21771288313 27642197521 65313864939 79359857399 82926592563 195941594817 238079572197 248779777689 714238716591 2460155579369 7380466738107 22141400214321