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4140974496 = 2532911313163
BaseRepresentation
bin1111011011010010…
…0100000110100000
3101200120222022002210
43312310210012200
531440042140441
61522523242120
7204421462641
oct36664440640
911616868083
104140974496
11183552147a
12976979340
1350cbb0489
142b3d6d6c8
15193820616
hexf6d241a0

4140974496 has 96 divisors (see below), whose sum is σ = 11345261760. Its totient is φ = 1320833024.

The previous prime is 4140974491. The next prime is 4140974503. The reversal of 4140974496 is 6944790414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4140974491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308011 + ... + 321173.

It is an arithmetic number, because the mean of its divisors is an integer number (118179810).

Almost surely, 24140974496 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 4140974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672630880).

4140974496 is an abundant number, since it is smaller than the sum of its proper divisors (7204287264).

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

4140974496 is a wasteful number, since it uses less digits than its factorization.

4140974496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4140974496 is about 64350.4040080558. The cubic root of 4140974496 is about 1605.8347506054.

The spelling of 4140974496 in words is "four billion, one hundred forty million, nine hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 113 116 174 226 232 339 348 452 464 678 696 904 928 1356 1392 1808 2712 2784 3277 3616 5424 6554 9831 10848 13108 13163 19662 26216 26326 39324 39489 52432 52652 78648 78978 104864 105304 157296 157956 210608 314592 315912 381727 421216 631824 763454 1145181 1263648 1487419 1526908 2290362 2974838 3053816 4462257 4580724 5949676 6107632 8924514 9161448 11899352 12215264 17849028 18322896 23798704 35698056 36645792 43135151 47597408 71396112 86270302 129405453 142792224 172540604 258810906 345081208 517621812 690162416 1035243624 1380324832 2070487248 4140974496