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146069240488808 = 23713797267194253
BaseRepresentation
bin100001001101100101100101…
…001100010010001101101000
3201011012002020111222100212212
4201031211211030102031220
5123121144301031120213
61234355141022024252
742524103643165460
oct4115454514221550
9634162214870785
10146069240488808
11425a668726976a
1214471245118088
136367368a40120
14280db08ca6ba0
1511d48e20599a8
hex84d965312368

146069240488808 has 128 divisors (see below), whose sum is σ = 337635743800320. Its totient is φ = 57690910264320.

The previous prime is 146069240488763. The next prime is 146069240488837. The reversal of 146069240488808 is 808884042960641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549709810 + ... + 1549804062.

It is an arithmetic number, because the mean of its divisors is an integer number (2637779248440).

Almost surely, 2146069240488808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146069240488808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168817871900160).

146069240488808 is an abundant number, since it is smaller than the sum of its proper divisors (191566503311512).

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

146069240488808 is a wasteful number, since it uses less digits than its factorization.

146069240488808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97747 (or 97743 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 68.

The spelling of 146069240488808 in words is "one hundred forty-six trillion, sixty-nine billion, two hundred forty million, four hundred eighty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 797 1594 2671 3188 5342 5579 6376 10361 10684 11158 18697 20722 21368 22316 34723 37394 41444 44632 69446 72527 74788 82888 94253 138892 145054 149576 188506 243061 277784 290108 377012 486122 580216 659771 754024 972244 1225289 1319542 1944488 2128787 2450578 2639084 4257574 4901156 5278168 8515148 8577023 9802312 14901509 17030296 17154046 27674231 29803018 34308092 55348462 59606036 68616184 75119641 110696924 119212072 150239282 193719617 221393848 251749763 300478564 387439234 503499526 525837487 600957128 774878468 976555333 1006999052 1051674974 1549756936 1762248341 1953110666 2013998104 2103349948 3272746919 3524496682 3906221332 4206699896 6545493838 6835887331 7048993364 7812442664 13090987676 13671774662 14097986728 22909228433 26181975352 27343549324 45818456866 54687098648 91636913732 183273827464 200644561111 401289122222 802578244444 1404511927777 1605156488888 2608379294443 2809023855554 5216758588886 5618047711108 10433517177772 11236095422216 18258655061101 20867034355544 36517310122202 73034620244404 146069240488808