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224101141040 = 2457400180609
BaseRepresentation
bin1101000010110101111…
…0000000101000110000
3210102102222211111121202
43100231132000220300
512132424343003130
6250541201110332
722122302161220
oct3205536005060
9712388744552
10224101141040
118704a285187
12375230283a8
131819556b48a
14abbcd28080
155c69293145
hex342d780a30

224101141040 has 40 divisors (see below), whose sum is σ = 595468747680. Its totient is φ = 76834676736.

The previous prime is 224101140997. The next prime is 224101141093. The reversal of 224101141040 is 40141101422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2241011410403 (a number of 35 digits) contains 333 as substring.

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

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, 200089745 + ... + 200090864.

It is an arithmetic number, because the mean of its divisors is an integer number (14886718692).

Almost surely, 2224101141040 is an apocalyptic number.

224101141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224101141040 is an abundant number, since it is smaller than the sum of its proper divisors (371367606640).

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

224101141040 is a wasteful number, since it uses less digits than its factorization.

224101141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400180629 (or 400180623 counting only the distinct ones).

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

Adding to 224101141040 its reverse (40141101422), we get a palindrome (264242242462).

The spelling of 224101141040 in words is "two hundred twenty-four billion, one hundred one million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 400180609 800361218 1600722436 2000903045 2801264263 3201444872 4001806090 5602528526 6402889744 8003612180 11205057052 14006321315 16007224360 22410114104 28012642630 32014448720 44820228208 56025285260 112050570520 224101141040