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134402062631214 = 237375913907105407
BaseRepresentation
bin11110100011110011101011…
…001100110100000100101110
3122121212201012211110212210110
4132203303223030310010232
5120104020411013144324
61153503242153320450
740211141255533650
oct3643635314640456
9577781184425713
10134402062631214
113990865a556594
12130a802aa06126
1359cc0a2124aa1
1425291475c06d0
15108118d082329
hex7a3ceb33412e

134402062631214 has 128 divisors (see below), whose sum is σ = 320881245880320. Its totient is φ = 36726479346816.

The previous prime is 134402062631189. The next prime is 134402062631323. The reversal of 134402062631214 is 412136260204431.

It is a super-2 number, since 2×1344020626312142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275024499 + ... + 1275129905.

It is an arithmetic number, because the mean of its divisors is an integer number (2506884733440).

Almost surely, 2134402062631214 is an apocalyptic number.

134402062631214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134402062631214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160440622940160).

134402062631214 is an abundant number, since it is smaller than the sum of its proper divisors (186479183249106).

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

134402062631214 is a wasteful number, since it uses less digits than its factorization.

134402062631214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119422.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 134402062631214 in words is "one hundred thirty-four trillion, four hundred two billion, sixty-two million, six hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 59 74 111 118 177 222 259 354 413 518 777 826 1239 1554 2183 2478 4366 6549 13098 13907 15281 27814 30562 41721 45843 83442 91686 97349 105407 194698 210814 292047 316221 514559 584094 632442 737849 820513 1029118 1475698 1543677 1641026 2213547 2461539 3087354 3601913 3900059 4427094 4923078 5743591 6219013 7203826 7800118 10805739 11487182 11700177 12438026 17230773 18657039 21611478 23400354 27300413 30358981 34461546 37314078 43533091 54600826 60717962 81901239 87066182 91076943 130599273 163802478 182153886 212512867 230103481 261198546 425025734 460206962 637538601 690310443 1275077202 1380620886 1465895149 1610724367 2931790298 3221448734 4397685447 4832173101 8795370894 9664346202 10261266043 20522532086 30783798129 54238120513 61567596258 86487813791 108476241026 162714361539 172975627582 259463441373 325428723078 379666843591 518926882746 605414696537 759333687182 1139000530773 1210829393074 1816244089611 2278001061546 3200049110267 3632488179222 6400098220534 9600147330801 19200294661602 22400343771869 44800687543738 67201031315607 134402062631214