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4114043124 = 2232964118443
BaseRepresentation
bin1111010100110111…
…0101000011110100
3101121201022001012120
43311031311003310
531411143334444
61520122115540
7203643534552
oct36515650364
911551261176
104114043124
1118212a7544
1296994bbb0
13507441159
142b055cbd2
151912a0b19
hexf53750f4

4114043124 has 48 divisors (see below), whose sum is σ = 9946480320. Its totient is φ = 1321922560.

The previous prime is 4114043119. The next prime is 4114043137. The reversal of 4114043124 is 4213404114.

It is a super-2 number, since 2×41140431242 = 33850701652263358752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114043094 and 4114043103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213847 + ... + 232289.

It is an arithmetic number, because the mean of its divisors is an integer number (207218340).

Almost surely, 24114043124 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 4114043124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973240160).

4114043124 is an abundant number, since it is smaller than the sum of its proper divisors (5832437196).

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

4114043124 is a wasteful number, since it uses less digits than its factorization.

4114043124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19120 (or 19118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4114043124 is about 64140.8070108258. The cubic root of 4114043124 is about 1602.3459238240.

Adding to 4114043124 its reverse (4213404114), we get a palindrome (8327447238).

The spelling of 4114043124 in words is "four billion, one hundred fourteen million, forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 641 1282 1923 2564 3846 7692 18443 18589 36886 37178 55329 55767 73772 74356 110658 111534 221316 223068 534847 1069694 1604541 2139388 3209082 6418164 11821963 23643926 35465889 47287852 70931778 141863556 342836927 685673854 1028510781 1371347708 2057021562 4114043124