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4422103434 = 2327192191509
BaseRepresentation
bin1000001111001001…
…11111000110001010
3102102011222010111200
410013210333012022
533024024302214
62010445005030
7214404154560
oct40744770612
912364863450
104422103434
11196a186841
12a34b53776
13556201968
142dd42da30
151ad352d09
hex10793f18a

4422103434 has 144 divisors (see below), whose sum is σ = 11639946240. Its totient is φ = 1188354240.

The previous prime is 4422103417. The next prime is 4422103451. The reversal of 4422103434 is 4343012244.

It is a happy number.

4422103434 is a `hidden beast` number, since 4 + 4 + 221 + 0 + 3 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (4422103417) and next prime (4422103451).

It is a junction number, because it is equal to n+sod(n) for n = 4422103398 and 4422103407.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8687572 + ... + 8688080.

It is an arithmetic number, because the mean of its divisors is an integer number (80832960).

Almost surely, 24422103434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422103434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819973120).

4422103434 is an abundant number, since it is smaller than the sum of its proper divisors (7217842806).

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

4422103434 is a wasteful number, since it uses less digits than its factorization.

4422103434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4422103434 is about 66498.8979908690. The cubic root of 4422103434 is about 1641.3818704512.

Adding to 4422103434 its reverse (4343012244), we get a palindrome (8765115678).

The spelling of 4422103434 in words is "four billion, four hundred twenty-two million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 191 266 342 361 382 399 509 573 722 798 1018 1083 1146 1197 1337 1527 1719 2166 2394 2527 2674 3054 3249 3438 3563 3629 4011 4581 5054 6498 7126 7258 7581 8022 9162 9671 10689 10887 12033 15162 19342 21378 21774 22743 24066 25403 29013 32067 32661 45486 50806 58026 64134 65322 67697 68951 76209 87039 97219 135394 137902 152418 174078 183749 194438 203091 206853 228627 291657 367498 406182 413706 457254 482657 551247 583314 609273 620559 680533 874971 965314 1102494 1218546 1241118 1286243 1361066 1447971 1653741 1749942 1847161 2041599 2572486 2895942 3307482 3694322 3858729 4083198 4343913 5541483 6124797 7717458 8687826 11082966 11576187 12249594 12930127 16624449 23152374 25860254 33248898 35096059 38790381 70192118 77580762 105288177 116371143 210576354 232742286 245672413 315864531 491344826 631729062 737017239 1474034478 2211051717 4422103434