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4140542720 = 2853787427
BaseRepresentation
bin1111011011001011…
…1010101100000000
3101200120011100211002
43312302322230000
531434434331340
61522510111132
7204415014056
oct36662725400
911616140732
104140542720
111835257036
129767ab4a8
1350ca8baa2
142b3c9a1d6
15193787715
hexf6cbab00

4140542720 has 72 divisors (see below), whose sum is σ = 10186061424. Its totient is φ = 1611436032.

The previous prime is 4140542701. The next prime is 4140542737. The reversal of 4140542720 is 272450414.

4140542720 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-2 number, since 2×41405427202 = 34288188032289996800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3647 + ... + 91073.

Almost surely, 24140542720 is an apocalyptic number.

4140542720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093030712).

4140542720 is an abundant number, since it is smaller than the sum of its proper divisors (6045518704).

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

4140542720 is an equidigital number, since it uses as much as digits as its factorization.

4140542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87485 (or 87471 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 4140542720 is about 64347.0490387865. The cubic root of 4140542720 is about 1605.7789356432.

The spelling of 4140542720 in words is "four billion, one hundred forty million, five hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 4736 5920 9472 11840 23680 47360 87427 174854 349708 437135 699416 874270 1398832 1748540 2797664 3234799 3497080 5595328 6469598 6994160 11190656 12939196 13988320 16173995 22381312 25878392 27976640 32347990 51756784 55953280 64695980 103513568 111906560 129391960 207027136 258783920 414054272 517567840 828108544 1035135680 2070271360 4140542720