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4140135020 = 225759677481
BaseRepresentation
bin1111011011000101…
…0111001001101100
3101200112101122120002
43312301113021230
531434333310040
61522453243432
7204411365330
oct36661271154
911615348502
104140135020
111834aa879a
12976633578
1350c978348
142b3bd17c0
15193706a15
hexf6c5726c

4140135020 has 96 divisors (see below), whose sum is σ = 10256924160. Its totient is φ = 1374405120.

The previous prime is 4140134983. The next prime is 4140135037. The reversal of 4140135020 is 205310414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4140134983 and 4140135001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549680 + ... + 557160.

It is an arithmetic number, because the mean of its divisors is an integer number (106842960).

Almost surely, 24140135020 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 4140135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128462080).

4140135020 is an abundant number, since it is smaller than the sum of its proper divisors (6116789140).

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

4140135020 is a wasteful number, since it uses less digits than its factorization.

4140135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4140135020 is about 64343.8809833538. The cubic root of 4140135020 is about 1605.7262293834.

Adding to 4140135020 its reverse (205310414), we get a palindrome (4345445434).

The spelling of 4140135020 in words is "four billion, one hundred forty million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 67 70 118 134 140 236 268 295 335 413 469 590 670 826 938 1180 1340 1652 1876 2065 2345 3953 4130 4690 7481 7906 8260 9380 14962 15812 19765 27671 29924 37405 39530 52367 55342 74810 79060 104734 110684 138355 149620 209468 261835 276710 441379 501227 523670 553420 882758 1002454 1047340 1765516 2004908 2206895 2506135 3089653 3508589 4413790 5012270 6179306 7017178 8827580 10024540 12358612 14034356 15448265 17542945 29572393 30896530 35085890 59144786 61793060 70171780 118289572 147861965 207006751 295723930 414013502 591447860 828027004 1035033755 2070067510 4140135020