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4121234334 = 2327713371367
BaseRepresentation
bin1111010110100101…
…0000101110011110
3101122012211101200200
43311221100232132
531420013444314
61520540204330
7204061625310
oct36551205636
911565741620
104121234334
111825369398
129702396a6
13508a8b3c9
142b14b17b0
15191c21709
hexf5a50b9e

4121234334 has 96 divisors (see below), whose sum is σ = 10386994176. Its totient is φ = 1156619520.

The previous prime is 4121234297. The next prime is 4121234353. The reversal of 4121234334 is 4334321214.

It is a junction number, because it is equal to n+sod(n) for n = 4121234298 and 4121234307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3014119 + ... + 3015485.

It is an arithmetic number, because the mean of its divisors is an integer number (108197856).

Almost surely, 24121234334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121234334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193497088).

4121234334 is an abundant number, since it is smaller than the sum of its proper divisors (6265759842).

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

4121234334 is a wasteful number, since it uses less digits than its factorization.

4121234334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1787 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4121234334 is about 64196.8405297332. The cubic root of 4121234334 is about 1603.2789960978.

Adding to 4121234334 its reverse (4334321214), we get a palindrome (8455555548).

The spelling of 4121234334 in words is "four billion, one hundred twenty-one million, two hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 337 426 497 639 674 994 1011 1278 1367 1491 2022 2359 2734 2982 3033 4101 4473 4718 6066 7077 8202 8946 9569 12303 14154 19138 21231 23927 24606 28707 42462 47854 57414 71781 86121 97057 143562 167489 172242 194114 215343 291171 334978 430686 460679 502467 582342 679399 873513 921358 1004934 1358798 1382037 1507401 1747026 2038197 2764074 3014802 3224753 4076394 4146111 6114591 6449506 8292222 9674259 12229182 19348518 29022777 32708209 58045554 65416418 98124627 196249254 228957463 294373881 457914926 588747762 686872389 1373744778 2060617167 4121234334