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402134133401 = 7211131912691117
BaseRepresentation
bin1011101101000010000…
…11111110101010011001
31102102222102022120122122
411312201003332222121
523042032314232101
6504423214031025
741024154510200
oct5664103765231
91372872276578
10402134133401
111455a9264410
1265b29aa8475
132bbc881a680
141566b7b6237
15a6d8e5451b
hex5da10fea99

402134133401 has 96 divisors (see below), whose sum is σ = 554997381120. Its totient is φ = 286406668800.

The previous prime is 402134133347. The next prime is 402134133419. The reversal of 402134133401 is 104331431204.

It is a happy number.

It is not a de Polignac number, because 402134133401 - 214 = 402134117017 is a prime.

It is a super-2 number, since 2×4021341334012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (402134133421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360012095 + ... + 360013211.

It is an arithmetic number, because the mean of its divisors is an integer number (5781222720).

Almost surely, 2402134133401 is an apocalyptic number.

It is an amenable number.

402134133401 is a deficient number, since it is larger than the sum of its proper divisors (152863247719).

402134133401 is a wasteful number, since it uses less digits than its factorization.

402134133401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 402134133401 its reverse (104331431204), we get a palindrome (506465564605).

It can be divided in two parts, 402134 and 133401, that added together give a palindrome (535535).

The spelling of 402134133401 in words is "four hundred two billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 7 11 13 49 77 91 143 191 269 539 637 1001 1117 1337 1883 2101 2483 2959 3497 7007 7819 9359 12287 13181 14521 14707 17381 20713 24479 27313 38467 51379 54733 86009 101647 102949 121667 144991 159731 171353 191191 213347 269269 300473 359653 565169 602063 667927 711529 1118117 1338337 1493429 1884883 2103311 2346817 2517571 2773511 3305203 3906149 3956183 4675489 7347197 7826819 10454003 14723177 16427719 19414577 23136421 27343043 27693281 30508621 32728423 42967639 51430379 57390343 114994033 135902039 161954947 191401301 213560347 300773473 360012653 401732401 631293773 746074459 1494922429 2105414311 2812126807 4419056411 5222521213 8206819049 30933394877 36557648491 57447733343 402134133401