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130224044001402 = 232131135009983209
BaseRepresentation
bin11101100111000000100101…
…111000100100100001111010
3122002002022000112022210112200
4131213000211320210201322
5114032042320231021102
61140544033330251030
736300243131251101
oct3547004570444172
9562068015283480
10130224044001402
11385477859a556a
1212732360a26a76
1357880c8038610
142422c3d691038
15100c65d80151c
hex767025e2487a

130224044001402 has 96 divisors (see below), whose sum is σ = 306606605432400. Its totient is φ = 39706375274496.

The previous prime is 130224044001383. The next prime is 130224044001503. The reversal of 130224044001402 is 204100440422031.

130224044001402 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 240 + 4 + 400 + 14 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20748398511681 + 109475645489721 = 4555041^2 + 10463061^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131956374 + ... + 132939582.

Almost surely, 2130224044001402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130224044001402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153303302716200).

130224044001402 is an abundant number, since it is smaller than the sum of its proper divisors (176382561430998).

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

130224044001402 is a wasteful number, since it uses less digits than its factorization.

130224044001402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988352 (or 988349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130224044001402 its reverse (204100440422031), we get a palindrome (334324484423433).

The spelling of 130224044001402 in words is "one hundred thirty trillion, two hundred twenty-four billion, forty-four million, one thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 5009 8814 10018 13221 15027 26442 30054 45081 65117 90162 130234 195351 390702 566017 586053 983209 1132034 1172106 1698051 1966418 2949627 3396102 5094153 5899254 7358221 8848881 10188306 12781717 14716442 17697762 22074663 25563434 38345151 44149326 66223989 76690302 111102617 115035453 132447978 222205234 230070906 333307851 666615702 999923553 1444334021 1999847106 2888668042 4333002063 4924893881 8666004126 9849787762 12999006189 14774681643 25998012378 29549363286 44324044929 64023620453 88648089858 128047240906 192070861359 384141722718 556513008553 576212584077 1113026017106 1152425168154 1669539025659 3339078051318 5008617076977 7234669111189 10017234153954 14469338222378 21704007333567 43408014667134 65112022000701 130224044001402