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11242144010440 = 2357131930440117
BaseRepresentation
bin1010001110011000010000…
…0000000001000011001000
31110210201221100022220201101
42203212010000001003020
52433142402331313230
635524323014031144
72240134544255410
oct243460400010310
943721840286641
1011242144010440
113644848236a02
1213169773484b4
1363718ba526c5
142ac1a0889640
15147679972aca
hexa39840010c8

11242144010440 has 64 divisors (see below), whose sum is σ = 28930288147200. Its totient is φ = 3851526997248.

The previous prime is 11242144010401. The next prime is 11242144010479. The reversal of 11242144010440 is 4401044124211.

It is an interprime number because it is at equal distance from previous prime (11242144010401) and next prime (11242144010479).

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

It is a junction number, because it is equal to n+sod(n) for n = 11242144010399 and 11242144010408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14850739 + ... + 15589378.

It is an arithmetic number, because the mean of its divisors is an integer number (452035752300).

Almost surely, 211242144010440 is an apocalyptic number.

11242144010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242144010440 is an abundant number, since it is smaller than the sum of its proper divisors (17688144136760).

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

11242144010440 is a wasteful number, since it uses less digits than its factorization.

11242144010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30441454 (or 30441450 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 11242144010440 its reverse (4401044124211), we get a palindrome (15643188134651).

The spelling of 11242144010440 in words is "eleven trillion, two hundred forty-two billion, one hundred forty-four million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1319 2638 5276 6595 9233 10552 13190 18466 26380 36932 46165 52760 73864 92330 184660 369320 30440117 60880234 121760468 152200585 213080819 243520936 304401170 426161638 608802340 852323276 1065404095 1217604680 1704646552 2130808190 4261616380 8523232760 40150514323 80301028646 160602057292 200752571615 281053600261 321204114584 401505143230 562107200522 803010286460 1124214401044 1405268001305 1606020572920 2248428802088 2810536002610 5621072005220 11242144010440