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1142259811880 = 2351117727210053
BaseRepresentation
bin10000100111110011111…
…111011000011000101000
311001012101001100122100112
4100213303333120120220
5122203322002440010
62232425155553452
7145345156126115
oct20476377303050
94035331318315
101142259811880
1140047a981160
121654645bb888
138393a0a1615
143d3ddc4190c
151eaa5a6ba05
hex109f3fd8628

1142259811880 has 128 divisors (see below), whose sum is σ = 2972751425280. Its totient is φ = 390394245120.

The previous prime is 1142259811843. The next prime is 1142259811951. The reversal of 1142259811880 is 881189522411.

It is a happy number.

It is a super-2 number, since 2×11422598118802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5332934 + ... + 5542986.

It is an arithmetic number, because the mean of its divisors is an integer number (23224620510).

Almost surely, 21142259811880 is an apocalyptic number.

1142259811880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142259811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486375712640).

1142259811880 is an abundant number, since it is smaller than the sum of its proper divisors (1830491613400).

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

1142259811880 is a wasteful number, since it uses less digits than its factorization.

1142259811880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210819 (or 210815 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 50.

The spelling of 1142259811880 in words is "one trillion, one hundred forty-two billion, two hundred fifty-nine million, eight hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 727 748 935 1454 1496 1870 2908 3635 3740 5816 7270 7480 7997 12359 14540 15994 24718 29080 31988 39985 49436 61795 63976 79970 98872 123590 135949 159940 210053 247180 271898 319880 420106 494360 543796 679745 840212 1050265 1087592 1359490 1680424 2100530 2310583 2718980 3570901 4201060 4621166 5437960 7141802 8402120 9242332 11552915 14283604 17854505 18484664 23105830 28567208 35709010 39279911 46211660 71418020 78559822 92423320 142836040 152708531 157119644 196399555 305417062 314239288 392799110 610834124 763542655 785598220 1221668248 1527085310 1571196440 1679793841 2596045027 3054170620 3359587682 5192090054 6108341240 6719175364 8398969205 10384180108 12980225135 13438350728 16797938410 20768360216 25960450270 28556495297 33595876820 51920900540 57112990594 67191753640 103841801080 114225981188 142782476485 228451962376 285564952970 571129905940 1142259811880