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132402021113640 = 23351278714999689
BaseRepresentation
bin11110000110101100111111…
…011011111001111100101000
3122100210111202111111201102110
4132012230333123321330220
5114323233314401114030
61145332352050402320
736613505340250245
oct3606547733717450
9570714674451373
10132402021113640
1139207422228a63
1212a24494b903a0
1358b55c30b5205
14249a4134045cc
1510491316031b0
hex786b3f6f9f28

132402021113640 has 128 divisors (see below), whose sum is σ = 400342279680000. Its totient is φ = 35028442810368.

The previous prime is 132402021113639. The next prime is 132402021113641. The reversal of 132402021113640 is 46311120204231.

It is an interprime number because it is at equal distance from previous prime (132402021113639) and next prime (132402021113641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132402021113598 and 132402021113607.

It is not an unprimeable number, because it can be changed into a prime (132402021113641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328100916 + ... + 1328200604.

It is an arithmetic number, because the mean of its divisors is an integer number (3127674060000).

Almost surely, 2132402021113640 is an apocalyptic number.

132402021113640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132402021113640 is an abundant number, since it is smaller than the sum of its proper divisors (267940258566360).

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

132402021113640 is a wasteful number, since it uses less digits than its factorization.

132402021113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186979 (or 186975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 132402021113640 its reverse (46311120204231), we get a palindrome (178713141317871).

The spelling of 132402021113640 in words is "one hundred thirty-two trillion, four hundred two billion, twenty-one million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 87149 99689 174298 199378 261447 299067 348596 398756 435745 498445 522894 598134 697192 797512 871490 996890 1045788 1196268 1307235 1495335 1742980 1993780 2091576 2392536 2614470 2990670 3485960 3987560 5228940 5981340 10457880 11067923 11962680 12660503 22135846 25321006 33203769 37981509 44271692 50642012 55339615 63302515 66407538 75963018 88543384 101284024 110679230 126605030 132815076 151926036 166018845 189907545 221358460 253210060 265630152 303852072 332037690 379815090 442716920 506420120 664075380 759630180 1328150760 1519260360 8687796661 17375593322 26063389983 34751186644 43438983305 52126779966 69502373288 86877966610 104253559932 130316949915 173755933220 208507119864 260633899830 347511866440 521267799660 1042535599320 1103350175947 2206700351894 3310050527841 4413400703788 5516750879735 6620101055682 8826801407576 11033501759470 13240202111364 16550252639205 22067003518940 26480404222728 33100505278410 44134007037880 66201010556820 132402021113640