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4114022958 = 232318119091
BaseRepresentation
bin1111010100110111…
…0000001000101110
3101121201021000112200
43311031300020232
531411142213313
61520121442330
7203643422013
oct36515601056
911551230480
104114022958
111821293381
129699403a6
13507434c16
142b055570a
15191299b73
hexf537022e

4114022958 has 48 divisors (see below), whose sum is σ = 9213614592. Its totient is φ = 1325322000.

The previous prime is 4114022947. The next prime is 4114022971. The reversal of 4114022958 is 8592204114.

4114022958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41140229583 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447993 + ... + 457083.

It is an arithmetic number, because the mean of its divisors is an integer number (191950304).

Almost surely, 24114022958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114022958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606807296).

4114022958 is an abundant number, since it is smaller than the sum of its proper divisors (5099591634).

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

4114022958 is a wasteful number, since it uses less digits than its factorization.

4114022958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4114022958 is about 64140.6498096176. The cubic root of 4114022958 is about 1602.3433057214.

The spelling of 4114022958 in words is "four billion, one hundred fourteen million, twenty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 811 1622 2433 4866 7299 9091 14598 18182 25141 27273 50282 54546 75423 81819 150846 163638 226269 281821 452538 563642 845463 1690926 2536389 5072778 7372801 14745602 22118403 44236806 66355209 132710418 228556831 457113662 685670493 1371340986 2057011479 4114022958