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11140414220 = 22513415917713
BaseRepresentation
bin10100110000000010…
…10011101100001100
31001202101122200100002
422120001103230030
5140303421223340
65041241423432
7543032646515
oct123001235414
931671580302
1011140414220
1147a7523101
1221aaa9ab78
13108704b3a0
147797c1a0c
15453078715
hex298053b0c

11140414220 has 96 divisors (see below), whose sum is σ = 26247896640. Its totient is φ = 3944816640.

The previous prime is 11140414217. The next prime is 11140414289. The reversal of 11140414220 is 2241404111.

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 = 11140414192 and 11140414201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620084 + ... + 637796.

It is an arithmetic number, because the mean of its divisors is an integer number (273415590).

Almost surely, 211140414220 is an apocalyptic number.

11140414220 is a gapful number since it is divisible by the number (10) 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 11140414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123948320).

11140414220 is an abundant number, since it is smaller than the sum of its proper divisors (15107482420).

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

11140414220 is a wasteful number, since it uses less digits than its factorization.

11140414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17835 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11140414220 its reverse (2241404111), we get a palindrome (13381818331).

The spelling of 11140414220 in words is "eleven billion, one hundred forty million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 59 65 82 118 130 164 205 236 260 295 410 533 590 767 820 1066 1180 1534 2132 2419 2665 3068 3835 4838 5330 7670 9676 10660 12095 15340 17713 24190 31447 35426 48380 62894 70852 88565 125788 157235 177130 230269 314470 354260 460538 628940 726233 921076 1045067 1151345 1452466 2090134 2302690 2904932 3631165 4180268 4605380 5225335 7262330 9441029 10450670 13585871 14524660 18882058 20901340 27171742 37764116 42847747 47205145 54343484 67929355 85695494 94410290 135858710 171390988 188820580 214238735 271717420 428477470 557020711 856954940 1114041422 2228082844 2785103555 5570207110 11140414220