Search a number
-
+
34422202100440 = 23571111176039643
BaseRepresentation
bin1111101001110100010110…
…01000001110101011011000
311111212201201110010101120101
413310322023020032223120
514002433132214203230
6201113201421305144
710151631154135210
oct764721310165330
9144781643111511
1034422202100440
11aa71412778760
123a3b305a051b4
131628ccc53934b
148700873db240
153ea6018ccaca
hex1f4e8b20ead8

34422202100440 has 64 divisors (see below), whose sum is σ = 96560982524160. Its totient is φ = 10728998056320.

The previous prime is 34422202100423. The next prime is 34422202100471. The reversal of 34422202100440 is 4400120222443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34422202100399 and 34422202100408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5588016742 + ... + 5588022901.

It is an arithmetic number, because the mean of its divisors is an integer number (1508765351940).

Almost surely, 234422202100440 is an apocalyptic number.

It is an amenable number.

34422202100440 is an abundant number, since it is smaller than the sum of its proper divisors (62138780423720).

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

34422202100440 is a wasteful number, since it uses less digits than its factorization.

34422202100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176039672 (or 11176039668 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34422202100440 its reverse (4400120222443), we get a palindrome (38822322322883).

The spelling of 34422202100440 in words is "thirty-four trillion, four hundred twenty-two billion, two hundred two million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 11176039643 22352079286 44704158572 55880198215 78232277501 89408317144 111760396430 122936436073 156464555002 223520792860 245872872146 312929110004 391161387505 447041585720 491745744292 614682180365 625858220008 782322775010 860555052511 983491488584 1229364360730 1564645550020 1721110105022 2458728721460 3129291100040 3442220210044 4302775262555 4917457442920 6884440420088 8605550525110 17211101050220 34422202100440