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421310344214331 = 341113237122273829
BaseRepresentation
bin101111111001011011111010…
…1011010000011011100111011
32001020201212122021112121110000
41133302313311122003130323
5420210222041104324311
64052015144501124043
7154512445041010125
oct13762676532033473
92036655567477400
10421310344214331
11112273793853190
123b3049259b9623
1315111519a24cb0
14760775abb6215
1533a93b00dc056
hex17f2df568373b

421310344214331 has 160 divisors (see below), whose sum is σ = 782408015262720. Its totient is φ = 222274984377600.

The previous prime is 421310344214311. The next prime is 421310344214381. The reversal of 421310344214331 is 133412443013124.

421310344214331 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 103 + 4 + 4 + 214 + 331 = 666.

It is not a de Polignac number, because 421310344214331 - 25 = 421310344214299 is a prime.

It is a super-2 number, since 2×4213103442143312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421310344214311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7778125 + ... + 30051953.

It is an arithmetic number, because the mean of its divisors is an integer number (4890050095392).

Almost surely, 2421310344214331 is an apocalyptic number.

421310344214331 is a deficient number, since it is larger than the sum of its proper divisors (361097671048389).

421310344214331 is a wasteful number, since it uses less digits than its factorization.

421310344214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22273959 (or 22273950 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 421310344214331 its reverse (133412443013124), we get a palindrome (554722787227455).

The spelling of 421310344214331 in words is "four hundred twenty-one trillion, three hundred ten billion, three hundred forty-four million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 23 27 33 39 69 71 81 99 117 143 207 213 253 297 299 351 429 621 639 759 781 891 897 923 1053 1287 1633 1863 1917 2277 2343 2691 2769 3289 3861 4899 5751 6831 7029 8073 8307 9867 10153 11583 14697 17963 20493 21087 21229 24219 24921 29601 30459 44091 53889 63261 63687 74763 88803 91377 132273 161667 191061 233519 266409 274131 485001 573183 700557 822393 1455003 1719549 2101671 6305013 18915039 22273829 66821487 200464461 245012119 289559777 512298067 601393383 735036357 868679331 1536894201 1581441859 1804180149 2205109071 2606037993 3185157547 4610682603 4744325577 5635278737 6615327213 6659874871 7818113979 9555472641 13832047809 14232976731 16905836211 17395860449 19845981639 19979624613 20558744167 23454341937 28666417923 36373162757 41496143427 42698930193 50717508633 52187581347 59938873839 61676232501 73258623581 85999253769 109119488271 128096790579 152152525899 156562744041 179816621517 185028697503 219775870743 226146185837 257997761307 327358464813 400104790327 456457577697 469688232123 472851115841 539449864551 555086092509 659327612229 678438557511 982075394439 1200314370981 1409064696369 1418553347523 1665258277527 1977982836687 2035315672533 2946226183317 3600943112943 4255660042569 5201362274251 5933948510061 6105947017599 10802829338829 12766980127707 15604086822753 18317841052797 32408488016487 38300940383121 46812260468259 140436781404777 421310344214331