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4120550214 = 2311237211727
BaseRepresentation
bin1111010110011010…
…1001101101000110
3101122011112122020220
43311212221231012
531414330101324
61520513405210
7204053045634
oct36546515506
911564478226
104120550214
111824a41400
1296bb69806
135088abbc1
142b1374354
15191b38b79
hexf59a9b46

4120550214 has 96 divisors (see below), whose sum is σ = 9360169728. Its totient is φ = 1207483200.

The previous prime is 4120550209. The next prime is 4120550237.

4120550214 is nontrivially palindromic in base 10.

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, 5667519 + ... + 5668245.

It is an arithmetic number, because the mean of its divisors is an integer number (97501768).

Almost surely, 24120550214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120550214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680084864).

4120550214 is an abundant number, since it is smaller than the sum of its proper divisors (5239619514).

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

4120550214 is a wasteful number, since it uses less digits than its factorization.

4120550214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4120550214 is about 64191.5120089876. The cubic root of 4120550214 is about 1603.1902770527.

It can be divided in two parts, 41205 and 50214, that added together give a palindrome (91419).

The spelling of 4120550214 in words is "four billion, one hundred twenty million, five hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 211 222 242 363 407 422 633 726 727 814 1221 1266 1454 2181 2321 2442 4362 4477 4642 6963 7807 7997 8954 13431 13926 15614 15994 23421 23991 25531 26862 26899 46842 47982 51062 53798 76593 80697 85877 87967 153186 153397 161394 171754 175934 257631 263901 295889 306794 460191 515262 527802 591778 887667 920382 944647 1687367 1775334 1889294 2833941 3254779 3374734 5062101 5667882 5675689 6509558 9764337 10124202 11351378 17027067 18561037 19528674 34054134 37122074 55683111 62432579 111366222 124865158 187297737 374595474 686758369 1373516738 2060275107 4120550214