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34022435334544 = 243727121876791
BaseRepresentation
bin1111011110001011101110…
…01011000010100110010000
311110110111212000102112121201
413233011313023002212100
513424410421421201134
6200205405132200544
710111016443530046
oct757056713024620
9143414760375551
1034022435334544
11a927919868618
123995938909154
1315ca3c0320367
148589a21cc396
153e0005705914
hex1ef1772c2990

34022435334544 has 60 divisors (see below), whose sum is σ = 68702402639808. Its totient is φ = 16318335196800.

The previous prime is 34022435334499. The next prime is 34022435334553. The reversal of 34022435334544 is 44543353422043.

It is a super-2 number, since 2×340224353345442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34022435334494 and 34022435334503.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9383212 + ... + 12493579.

Almost surely, 234022435334544 is an apocalyptic number.

It is an amenable number.

34022435334544 is an abundant number, since it is smaller than the sum of its proper divisors (34679967305264).

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

34022435334544 is a wasteful number, since it uses less digits than its factorization.

34022435334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21876944 (or 21876901 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 46.

Adding to 34022435334544 its reverse (44543353422043), we get a palindrome (78565788756587).

The spelling of 34022435334544 in words is "thirty-four trillion, twenty-two billion, four hundred thirty-five million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 37 71 74 142 148 284 296 568 592 1136 1369 2627 2738 5254 5476 10508 10952 21016 21904 42032 97199 194398 388796 777592 1555184 21876791 43753582 87507164 175014328 350028656 809441267 1553252161 1618882534 3106504322 3237765068 6213008644 6475530136 12426017288 12951060272 24852034576 29949326879 57470329957 59898653758 114940659914 119797307516 229881319828 239594615032 459762639656 479189230064 919525279312 2126402208409 4252804416818 8505608833636 17011217667272 34022435334544