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132112112440 = 23572112557059
BaseRepresentation
bin111101100001001111…
…1101101101100111000
3110122000010020200012111
41323002133231230320
54131031200044230
6140405205022104
712354601266400
oct1730237555470
9418003220174
10132112112440
1151034930500
12217300b4934
13c5c56438c9
146573bc9800
1536834be92a
hex1ec27edb38

132112112440 has 144 divisors (see below), whose sum is σ = 380076467400. Its totient is φ = 41177727360.

The previous prime is 132112112369. The next prime is 132112112453. The reversal of 132112112440 is 44211211231.

It is a super-2 number, since 2×1321121124402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41370 + ... + 515689.

Almost surely, 2132112112440 is an apocalyptic number.

132112112440 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 132112112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190038233700).

132112112440 is an abundant number, since it is smaller than the sum of its proper divisors (247964354960).

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

132112112440 is a wasteful number, since it uses less digits than its factorization.

132112112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557106 (or 557084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 132112112440 its reverse (44211211231), we get a palindrome (176323323671).

The spelling of 132112112440 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 6776 8470 10780 11858 16940 21560 23716 29645 33880 47432 59290 118580 237160 557059 1114118 2228236 2785295 3899413 4456472 5570590 6127649 7798826 11141180 12255298 15597652 19497065 22282360 24510596 27295891 30638245 31195304 38994130 42893543 49021192 54591782 61276490 67404139 77988260 85787086 109183564 122552980 134808278 136479455 155976520 171574172 214467715 218367128 245105960 269616556 272958910 300254801 337020695 343148344 428935430 471828973 539233112 545917820 600509602 674041390 857870860 943657946 1091835640 1201019204 1348082780 1501274005 1715741720 1887315892 2359144865 2402038408 2696165560 3002548010 3302802811 3774631784 4718289730 6005096020 6605605622 9436579460 12010192040 13211211244 16514014055 18873158920 26422422488 33028028110 66056056220 132112112440