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34422343223643 = 32375319725513881
BaseRepresentation
bin1111101001110100100111…
…00010100100100101011011
311111212202002021200012012200
413310322103202210211123
514002433424331124033
6201113223422141243
710151634516514134
oct764722342444533
9144782067605180
1034422343223643
11aa714853a7701
123a3b345121823
13162902284a9bb
1487009c054c8b
153ea60dea7013
hex1f4e938a495b

34422343223643 has 96 divisors (see below), whose sum is σ = 52326549804672. Its totient is φ = 21781363968000.

The previous prime is 34422343223641. The next prime is 34422343223647. The reversal of 34422343223643 is 34632234322443.

34422343223643 is a `hidden beast` number, since 3 + 4 + 4 + 22 + 343 + 223 + 64 + 3 = 666.

It is not a de Polignac number, because 34422343223643 - 21 = 34422343223641 is a prime.

It is a super-2 number, since 2×344223432236432 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34422343223641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8869450063 + ... + 8869453943.

It is an arithmetic number, because the mean of its divisors is an integer number (545068227132).

Almost surely, 234422343223643 is an apocalyptic number.

34422343223643 is a deficient number, since it is larger than the sum of its proper divisors (17904206581029).

34422343223643 is a wasteful number, since it uses less digits than its factorization.

34422343223643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6722 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 45.

The spelling of 34422343223643 in words is "thirty-four trillion, four hundred twenty-two billion, three hundred forty-three million, two hundred twenty-three thousand, six hundred forty-three".

Divisors: 1 3 9 37 53 111 159 197 333 477 591 1773 1961 2551 3881 5883 7289 7653 10441 11643 17649 21867 22959 31323 34929 65601 93969 94387 135203 143597 205693 283161 386317 405609 430791 502547 617079 764557 849483 1158951 1216827 1292373 1507641 1851237 2293671 3476853 4522923 5002511 6881013 7610641 9900431 15007533 18594239 22831923 26634991 28288609 29701293 40521521 45022599 55782717 68495769 79904973 84865827 89103879 121564563 167348151 239714919 254597481 364693689 366315947 524722843 985494667 1098947841 1499296277 1574168529 1950384907 2956484001 3296843523 4497888831 4722505587 5851154721 8869452003 13493666493 17553464163 19414745191 58244235573 72164241559 103370400071 174732706719 216492724677 310111200213 649478174031 930333600639 3824704802627 11474114407881 34422343223643