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2414020114332 = 22321719297158761
BaseRepresentation
bin100011001000001110110…
…011111011011110011100
322112210000012201211012200
4203020032303323132130
5304022403122124312
65044552512531500
7336256445261001
oct43101663733634
98483005654180
102414020114332
1185086446a632
1232ba2a550b90
13146844704a48
1484ba6a838a8
1542bda67e0dc
hex2320ecfb79c

2414020114332 has 144 divisors (see below), whose sum is σ = 7035631293600. Its totient is φ = 692738887680.

The previous prime is 2414020114327. The next prime is 2414020114339. The reversal of 2414020114332 is 2334110204142.

2414020114332 is a `hidden beast` number, since 2 + 414 + 0 + 201 + 1 + 43 + 3 + 2 = 666.

It is a super-2 number, since 2×24140201143322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414020114296 and 2414020114305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414020114339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3242169 + ... + 3916592.

It is an arithmetic number, because the mean of its divisors is an integer number (48858550650).

Almost surely, 22414020114332 is an apocalyptic number.

It is an amenable number.

2414020114332 is an abundant number, since it is smaller than the sum of its proper divisors (4621611179268).

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

2414020114332 is a wasteful number, since it uses less digits than its factorization.

2414020114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158836 (or 7158831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2414020114332 its reverse (2334110204142), we get a palindrome (4748130318474).

The spelling of 2414020114332 in words is "two trillion, four hundred fourteen billion, twenty million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 29 34 36 38 51 57 58 68 76 87 102 114 116 153 171 174 204 228 261 306 323 342 348 493 522 551 612 646 684 969 986 1044 1102 1292 1479 1653 1938 1972 2204 2907 2958 3306 3876 4437 4959 5814 5916 6612 8874 9367 9918 11628 17748 18734 19836 28101 37468 56202 84303 112404 168606 337212 7158761 14317522 21476283 28635044 42952566 64428849 85905132 121698937 128857698 136016459 207604069 243397874 257715396 272032918 365096811 408049377 415208138 486795748 544065836 622812207 730193622 816098754 830416276 1095290433 1224148131 1245624414 1460387244 1632197508 1868436621 2190580866 2312279803 2448296262 2491248828 3529269173 3736873242 3944477311 4381161732 4624559606 4896592524 6936839409 7058538346 7473746484 7888954622 9249119212 10587807519 11833431933 13873678818 14117076692 15777909244 20810518227 21175615038 23666863866 27747357636 31763422557 35500295799 41621036454 42351230076 47333727732 63526845114 67056114287 71000591598 83242072908 127053690228 134112228574 142001183196 201168342861 268224457148 402336685722 603505028583 804673371444 1207010057166 2414020114332