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434223132021 = 33729474913433
BaseRepresentation
bin1100101000110011011…
…01110010110101110101
31112111210202102121102000
412110121231302311311
524103242110211041
6531251312405513
743241311503060
oct6243155626565
91474722377360
10434223132021
11158175701a88
12701a4546899
1331c4091b013
14170334458d7
15b466170bb6
hex6519b72d75

434223132021 has 128 divisors (see below), whose sum is σ = 778534502400. Its totient is φ = 233928414720.

The previous prime is 434223131971. The next prime is 434223132037. The reversal of 434223132021 is 120231322434.

434223132021 is a `hidden beast` number, since 4 + 3 + 422 + 31 + 3 + 202 + 1 = 666.

It is not a de Polignac number, because 434223132021 - 210 = 434223130997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434223132221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126483321 + ... + 126486753.

It is an arithmetic number, because the mean of its divisors is an integer number (6082300800).

Almost surely, 2434223132021 is an apocalyptic number.

It is an amenable number.

434223132021 is a deficient number, since it is larger than the sum of its proper divisors (344311370379).

434223132021 is a wasteful number, since it uses less digits than its factorization.

434223132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434223132021 its reverse (120231322434), we get a palindrome (554454454455).

The spelling of 434223132021 in words is "four hundred thirty-four billion, two hundred twenty-three million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 29 47 63 87 141 189 203 261 329 423 491 609 783 987 1269 1363 1473 1827 2961 3433 3437 4089 4419 5481 8883 9541 10299 10311 12267 13257 14239 23077 24031 28623 30897 30933 36801 42717 69231 72093 85869 92691 92799 99557 99673 128151 161351 161539 207693 216279 257607 298671 299019 384453 484053 484617 623079 648837 669233 696899 896013 897057 1129457 1452159 1453851 1685603 2007699 2090697 2688039 2691171 3388371 4356477 4361553 4679179 4684631 5056809 6023097 6272091 10165113 11799221 14037537 14053893 15170427 18069291 18816273 30495339 32754253 35397663 42112611 42161679 45511281 48882487 79223341 98262759 106192989 126337833 126485037 146647461 237670023 294788277 318578967 342177409 439942383 554563387 713010069 884364831 1026532227 1319827149 1663690161 2139030207 2297476889 3079596681 4991070483 6892430667 9238790043 14973211449 16082338223 20677292001 48247014669 62031876003 144741044007 434223132021