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11224014100040 = 2357103389182181
BaseRepresentation
bin1010001101010100101101…
…0111111001011001001000
31110202000010211201001010102
42203111023113321121020
52432343240102200130
635512124011104532
72235623350464650
oct243251327713110
943660124631112
1011224014100040
113638094393985
121313357742148
1363555c938381
142ab360ac3360
15146e67ea7645
hexa354b5f9648

11224014100040 has 64 divisors (see below), whose sum is σ = 29141961788160. Its totient is φ = 3810871906560.

The previous prime is 11224014100007. The next prime is 11224014100049. The reversal of 11224014100040 is 4000141042211.

11224014100040 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 2×112240141000402 (a number of 27 digits) contains 22 as substring.

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 = 11224014099985 and 11224014100021.

It is not an unprimeable number, because it can be changed into a prime (11224014100049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194562251 + ... + 194619930.

It is an arithmetic number, because the mean of its divisors is an integer number (455343152940).

Almost surely, 211224014100040 is an apocalyptic number.

11224014100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224014100040 is an abundant number, since it is smaller than the sum of its proper divisors (17917947688120).

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

11224014100040 is a wasteful number, since it uses less digits than its factorization.

11224014100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389182302 (or 389182298 counting only the distinct ones).

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

Adding to 11224014100040 its reverse (4000141042211), we get a palindrome (15224155142251).

The spelling of 11224014100040 in words is "eleven trillion, two hundred twenty-four billion, fourteen million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5768 7210 14420 28840 389182181 778364362 1556728724 1945910905 2724275267 3113457448 3891821810 5448550534 7783643620 10897101068 13621376335 15567287240 21794202136 27242752670 40085764643 54485505340 80171529286 108971010680 160343058572 200428823215 280600352501 320686117144 400857646430 561200705002 801715292860 1122401410004 1403001762505 1603430585720 2244802820008 2806003525010 5612007050020 11224014100040