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4134419740 = 22511231734723
BaseRepresentation
bin1111011001101110…
…0011110100011100
3101200010122021200001
43312123203310130
531431402412430
61522130544044
7204311662603
oct36633436434
911603567601
104134419740
111831854820
12974738024
1350b726b19
142b3144a3a
15192e783ca
hexf66e3d1c

4134419740 has 96 divisors (see below), whose sum is σ = 9942621696. Its totient is φ = 1429443840.

The previous prime is 4134419711. The next prime is 4134419747. The reversal of 4134419740 is 479144314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134419740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134419747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873019 + ... + 877741.

It is an arithmetic number, because the mean of its divisors is an integer number (103568976).

Almost surely, 24134419740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134419740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971310848).

4134419740 is an abundant number, since it is smaller than the sum of its proper divisors (5808201956).

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

4134419740 is a wasteful number, since it uses less digits than its factorization.

4134419740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4134419740 is about 64299.4536524223. The cubic root of 4134419740 is about 1604.9870102435.

The spelling of 4134419740 in words is "four billion, one hundred thirty-four million, four hundred nineteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 173 220 230 253 346 460 506 692 865 1012 1265 1730 1903 2530 3460 3806 3979 4723 5060 7612 7958 9446 9515 15916 18892 19030 19895 23615 38060 39790 43769 47230 51953 79580 87538 94460 103906 108629 175076 207812 217258 218845 259765 434516 437690 519530 543145 817079 875380 1039060 1086290 1194919 1634158 2172580 2389838 3268316 4085395 4779676 5974595 8170790 8987869 11949190 16341580 17975738 18792817 23898380 35951476 37585634 44939345 75171268 89878690 93964085 179757380 187928170 206720987 375856340 413441974 826883948 1033604935 2067209870 4134419740