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314022772571316 = 223137911972121569
BaseRepresentation
bin100011101100110100001111…
…1110011110111110010110100
31112011212021122221111000200220
41013121220133303313302310
5312124422114234240231
63031512023054334340
7123100253020613634
oct10731503763676264
91464767587430626
10314022772571316
119106a345617a86
122b2778731ba3b0
131062b2b3279123
145778ad74b06c4
1526486bdae5896
hex11d9a1fcf7cb4

314022772571316 has 96 divisors (see below), whose sum is σ = 738988564446720. Its totient is φ = 103780660838400.

The previous prime is 314022772571293. The next prime is 314022772571329. The reversal of 314022772571316 is 613175277220413.

It is a super-2 number, since 2×3140227725713162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14558975380 + ... + 14558996948.

It is an arithmetic number, because the mean of its divisors is an integer number (7697797546320).

Almost surely, 2314022772571316 is an apocalyptic number.

It is an amenable number.

314022772571316 is an abundant number, since it is smaller than the sum of its proper divisors (424965791875404).

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

314022772571316 is a wasteful number, since it uses less digits than its factorization.

314022772571316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32345 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 314022772571316 in words is "three hundred fourteen trillion, twenty-two billion, seven hundred seventy-two million, five hundred seventy-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 911 1644 1822 2733 3644 5466 9721 10932 19442 21569 29163 38884 43138 58326 64707 86276 116652 124807 129414 249614 258828 374421 499228 748842 1331777 1497684 2663554 2954953 3995331 5327108 5909906 7990662 8855831 8864859 11819812 15981324 17711662 17729718 19649359 26567493 35423324 35459436 39298718 53134986 58948077 78597436 106269972 117896154 209672249 235792308 419344498 629016747 838688996 1213248847 1258033494 2426497694 2516066988 2691962183 3639746541 4852995388 5383924366 7279493082 8075886549 10767848732 14558986164 16151773098 28725098113 32303546196 57450196226 86175294339 114900392452 172350588678 191011418839 344701177356 382022837678 573034256517 764045675356 1146068513034 2292137026068 26168564380943 52337128761886 78505693142829 104674257523772 157011386285658 314022772571316