Search a number
-
+
4140645040 = 245721056287
BaseRepresentation
bin1111011011001101…
…0011101010110000
3101200120100120011201
43312303103222300
531440001120130
61522512220544
7204415621300
oct36663235260
911616316151
104140645040
1118353169a4
1297683a754
1350cac652c
142b3cc5600
151937a7bca
hexf6cd3ab0

4140645040 has 60 divisors (see below), whose sum is σ = 11198765376. Its totient is φ = 1419648384.

The previous prime is 4140645023. The next prime is 4140645049. The reversal of 4140645040 is 405460414.

It is a super-3 number, since 3×41406450403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4140645049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524224 + ... + 532063.

Almost surely, 24140645040 is an apocalyptic number.

4140645040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140645040 is an abundant number, since it is smaller than the sum of its proper divisors (7058120336).

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

4140645040 is a wasteful number, since it uses less digits than its factorization.

4140645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056314 (or 1056301 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4140645040 is about 64347.8440975298. The cubic root of 4140645040 is about 1605.7921627295.

The spelling of 4140645040 in words is "four billion, one hundred forty million, six hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 1056287 2112574 4225148 5281435 7394009 8450296 10562870 14788018 16900592 21125740 29576036 36970045 42251480 51758063 59152072 73940090 84502960 103516126 118304144 147880180 207032252 258790315 295760360 414064504 517580630 591520720 828129008 1035161260 2070322520 4140645040