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4021422991722 = 2331073834194337
BaseRepresentation
bin111010100001001111011…
…111010010100101101010
3112020102222212211102212000
4322201033133102211222
51011341333241213342
612315225523031430
7563352416301663
oct72411737224552
915212885742760
104021422991722
111310526493404
1254b46650b576
132322ac241bb6
14dc8d060036a
156e916b0d44c
hex3a84f7d296a

4021422991722 has 128 divisors (see below), whose sum is σ = 9067239014400. Its totient is φ = 1321013599488.

The previous prime is 4021422991721. The next prime is 4021422991741. The reversal of 4021422991722 is 2271992241204.

4021422991722 is a `hidden beast` number, since 40 + 214 + 229 + 9 + 172 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4021422991721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927233938 + ... + 927238274.

It is an arithmetic number, because the mean of its divisors is an integer number (70837804800).

Almost surely, 24021422991722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021422991722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533619507200).

4021422991722 is an abundant number, since it is smaller than the sum of its proper divisors (5045816022678).

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

4021422991722 is a wasteful number, since it uses less digits than its factorization.

4021422991722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4021422991722 in words is "four trillion, twenty-one billion, four hundred twenty-two million, nine hundred ninety-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 383 419 642 766 838 963 1149 1257 1926 2298 2514 2889 3447 3771 4337 5778 6894 7542 8674 10341 11313 13011 20682 22626 26022 39033 40981 44833 78066 81962 89666 117099 122943 134499 160477 234198 245886 268998 320954 368829 403497 464059 481431 737658 806994 928118 962862 1106487 1210491 1392177 1444293 1661071 1817203 2212974 2420982 2784354 2888586 3322142 3634406 4176531 4332879 4983213 5451609 8353062 8665758 9966426 10903218 12529593 14949639 16354827 17171039 25059186 29899278 32709654 34342078 44848917 49064481 51513117 89697834 98128962 103026234 154539351 177734597 194440721 309078702 355469194 388881442 463618053 533203791 583322163 695988749 927236106 1066407582 1166644326 1391977498 1599611373 1749966489 2087966247 3199222746 3499932978 4175932494 4798834119 5249899467 6263898741 9597668238 10499798934 12527797482 18791696223 37583392446 74470796143 148941592286 223412388429 446824776858 670237165287 1340474330574 2010711495861 4021422991722