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132141120423400 = 235211211634695079
BaseRepresentation
bin11110000010111010000000…
…100010110000010111101000
3122022212120022212211102110001
4132002322000202300113220
5114310000003312022100
61145012443115232344
736555611102053414
oct3602720042602750
9568776285742401
10132141120423400
1139116809626900
12129a1a01a486b4
135896b1486026a
14248b942db3d44
151042461814d6a
hex782e808b05e8

132141120423400 has 144 divisors (see below), whose sum is σ = 337987447106400. Its totient is φ = 48009989596800.

The previous prime is 132141120423311. The next prime is 132141120423413. The reversal of 132141120423400 is 4324021141231.

It is a happy number.

It is a super-2 number, since 2×1321411204234002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25797061 + ... + 30492139.

It is an arithmetic number, because the mean of its divisors is an integer number (2347135049350).

Almost surely, 2132141120423400 is an apocalyptic number.

132141120423400 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 132141120423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168993723553200).

132141120423400 is an abundant number, since it is smaller than the sum of its proper divisors (205846326683000).

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

132141120423400 is a wasteful number, since it uses less digits than its factorization.

132141120423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696280 (or 4696260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132141120423400 its reverse (4324021141231), we get a palindrome (136465141564631).

The spelling of 132141120423400 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred twenty million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1163 1210 2200 2326 2420 3025 4652 4840 5815 6050 9304 11630 12100 12793 23260 24200 25586 29075 46520 51172 58150 63965 102344 116300 127930 140723 232600 255860 281446 319825 511720 562892 639650 703615 1125784 1279300 1407230 2558600 2814460 3518075 4695079 5628920 7036150 9390158 14072300 18780316 23475395 28144600 37560632 46950790 51645869 93901580 103291738 117376975 187803160 206583476 234753950 258229345 413166952 469507900 516458690 568104559 939015800 1032917380 1136209118 1291146725 2065834760 2272418236 2582293450 2840522795 4544836472 5164586900 5460376877 5681045590 10329173800 10920753754 11362091180 14202613975 21841507508 22724182360 27301884385 28405227950 43683015016 54603768770 56810455900 60064145647 109207537540 113620911800 120128291294 136509421925 218415075080 240256582588 273018843850 300320728235 480513165176 546037687700 600641456470 660705602117 1092075375400 1201282912940 1321411204234 1501603641175 2402565825880 2642822408468 3003207282350 3303528010585 5285644816936 6006414564700 6607056021170 12012829129400 13214112042340 16517640052925 26428224084680 33035280105850 66070560211700 132141120423400