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431424002254520 = 2351117277208220237
BaseRepresentation
bin110001000011000001011101…
…0011001101110011010111000
32002120112201202111102112102102
41202012002322121232122320
5423021422324034121040
64125321241152322532
7156605232646642202
oct14206027231563270
92076481674375372
10431424002254520
1111551298a088020
1240478a41543448
131569615519c422
147877066c65772
1534d24dd351515
hex18860ba66e6b8

431424002254520 has 128 divisors (see below), whose sum is σ = 1125288796628160. Its totient is φ = 147120089948160.

The previous prime is 431424002254501. The next prime is 431424002254541. The reversal of 431424002254520 is 25452200424134.

It is a super-2 number, since 2×4314240022545202 (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102038159 + ... + 106182078.

Almost surely, 2431424002254520 is an apocalyptic number.

431424002254520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431424002254520 is an abundant number, since it is smaller than the sum of its proper divisors (693864794373640).

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

431424002254520 is a wasteful number, since it uses less digits than its factorization.

431424002254520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208220553 (or 208220549 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 431424002254520 its reverse (25452200424134), we get a palindrome (456876202678654).

The spelling of 431424002254520 in words is "four hundred thirty-one trillion, four hundred twenty-four billion, two million, two hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 277 340 374 440 554 680 748 935 1108 1385 1496 1870 2216 2770 3047 3740 4709 5540 6094 7480 9418 11080 12188 15235 18836 23545 24376 30470 37672 47090 51799 60940 94180 103598 121880 188360 207196 258995 414392 517990 1035980 2071960 208220237 416440474 832880948 1041101185 1665761896 2082202370 2290422607 3539744029 4164404740 4580845214 7079488058 8328809480 9161690428 11452113035 14158976116 17698720145 18323380856 22904226070 28317952232 35397440290 38937184319 45808452140 57677005649 70794880580 77874368638 91616904280 115354011298 141589761160 155748737276 194685921595 230708022596 288385028245 311497474552 389371843190 461416045192 576770056490 634447062139 778743686380 980509096033 1153540112980 1268894124278 1557487372760 1961018192066 2307080225960 2537788248556 3172235310695 3922036384132 4902545480165 5075576497112 6344470621390 7844072768264 9805090960330 10785600056363 12688941242780 19610181920660 21571200112726 25377882485560 39220363841320 43142400225452 53928000281815 86284800450904 107856000563630 215712001127260 431424002254520