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11220143440 = 2451137344599
BaseRepresentation
bin10100111001100010…
…11100110101010000
31001221221200100021011
422130301130311100
5140434324042230
65053210340304
7545021434312
oct123461346520
931857610234
1011220143440
114838529920
12221172a694
13109a71543c
147862177b2
1545a076e2a
hex29cc5cd50

11220143440 has 80 divisors (see below), whose sum is σ = 29227593600. Its totient is φ = 3969768960.

The previous prime is 11220143423. The next prime is 11220143449. The reversal of 11220143440 is 4434102211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220143449) 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, 139740 + ... + 204859.

It is an arithmetic number, because the mean of its divisors is an integer number (365344920).

Almost surely, 211220143440 is an apocalyptic number.

11220143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220143440 is an abundant number, since it is smaller than the sum of its proper divisors (18007450160).

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

11220143440 is a wasteful number, since it uses less digits than its factorization.

11220143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344660 (or 344654 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11220143440 its reverse (4434102211), we get a palindrome (15654245651).

The spelling of 11220143440 in words is "eleven billion, two hundred twenty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 32560 344599 689198 1378396 1722995 2756792 3445990 3790589 5513584 6891980 7581178 12750163 13783960 15162356 18952945 25500326 27567920 30324712 37905890 51000652 60649424 63750815 75811780 102001304 127501630 140251793 151623560 204002608 255003260 280503586 303247120 510006520 561007172 701258965 1020013040 1122014344 1402517930 2244028688 2805035860 5610071720 11220143440