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1141412220 = 2232513487783
BaseRepresentation
bin100010000001000…
…1001000101111100
32221112202202012200
41010002021011330
54314200142340
6305132231500
740166562264
oct10402110574
92845682180
101141412220
1153632a993
1227a30b590
13152620260
14ab83c7a4
156a316330
hex4408917c

1141412220 has 72 divisors (see below), whose sum is σ = 3728620896. Its totient is φ = 280962432.

The previous prime is 1141412183. The next prime is 1141412221. The reversal of 1141412220 is 222141411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141412193 and 1141412202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141412221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241552 + ... + 246231.

Almost surely, 21141412220 is an apocalyptic number.

1141412220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141412220 is an abundant number, since it is smaller than the sum of its proper divisors (2587208676).

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

1141412220 is a wasteful number, since it uses less digits than its factorization.

1141412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487811 (or 487806 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1141412220 is about 33784.7927328258. The cubic root of 1141412220 is about 1045.0751134549.

Adding to 1141412220 its reverse (222141411), we get a palindrome (1363553631).

The spelling of 1141412220 in words is "one billion, one hundred forty-one million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 487783 975566 1463349 1951132 2438915 2926698 4390047 4877830 5853396 6341179 7316745 8780094 9755660 12682358 14633490 17560188 19023537 21950235 25364716 29266980 31705895 38047074 43900470 57070611 63411790 76094148 87800940 95117685 114141222 126823580 190235370 228282444 285353055 380470740 570706110 1141412220