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314203302134424 = 233323315787395459
BaseRepresentation
bin100011101110001000010100…
…0001101100000001010011000
31112012111112122100201000222000
41013130100220031200022120
5312140401330321300144
63032131000533401000
7123116303506566543
oct10734205015401230
91465445570630860
10314203302134424
119112996587881a
122b2a6856199160
1310642323826911
14578374175985a
15264d237a56769
hex11dc428360298

314203302134424 has 128 divisors (see below), whose sum is σ = 876590556192000. Its totient is φ = 104278060599552.

The previous prime is 314203302134413. The next prime is 314203302134461. The reversal of 314203302134424 is 424431203302413.

314203302134424 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 0 + 3 + 302 + 1 + 344 + 2 + 4 = 666.

It is a super-2 number, since 2×3142033021344242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 794330407 + ... + 794725865.

It is an arithmetic number, because the mean of its divisors is an integer number (6848363720250).

Almost surely, 2314203302134424 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 314203302134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438295278096000).

314203302134424 is an abundant number, since it is smaller than the sum of its proper divisors (562387254057576).

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

314203302134424 is a wasteful number, since it uses less digits than its factorization.

314203302134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411494 (or 411484 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 314203302134424 its reverse (424431203302413), we get a palindrome (738634505436837).

The spelling of 314203302134424 in words is "three hundred fourteen trillion, two hundred three billion, three hundred two million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 4194 5592 6291 8388 12582 15787 16776 25164 31574 47361 50328 63148 94722 126296 142083 189444 284166 378888 395459 426249 568332 790918 852498 1136664 1186377 1581836 1704996 2372754 3163672 3409992 3559131 3678371 4745508 7118262 7356742 9491016 10677393 11035113 14236524 14713484 21354786 22070226 28473048 29426968 33105339 42709572 44140452 66210678 85419144 88280904 92141947 99316017 132421356 184283894 198632034 264842712 276425841 368567788 397264068 552851682 737135576 794528136 829277523 1105703364 1658555046 2211406728 2487832569 3317110092 4975665138 6243111233 6634220184 9951330276 12486222466 18729333699 19902660552 24972444932 37458667398 49944889864 56188001097 74917334796 112376002194 149834669592 168564003291 224752004388 337128006582 449504008776 674256013164 1348512026328 1454644917289 2909289834578 4363934751867 5818579669156 8727869503734 11637159338312 13091804255601 17455739007468 26183608511202 34911478014936 39275412766803 52367217022404 78550825533606 104734434044808 157101651067212 314203302134424