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414143341430 = 257131953451939
BaseRepresentation
bin1100000011011001101…
…11011110001101110110
31110120222100202120001012
412001230313132031312
523241131143411210
6514131013032222
741630600214410
oct6015467361566
91416870676035
10414143341430
1114a701135125
126831b925672
1330090857420
141608a70d9b0
15ab8d3e3305
hex606cdde376

414143341430 has 128 divisors (see below), whose sum is σ = 983999923200. Its totient is φ = 121828022784.

The previous prime is 414143341429. The next prime is 414143341441. The reversal of 414143341430 is 34143341414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690401 + ... + 1142339.

It is an arithmetic number, because the mean of its divisors is an integer number (7687499400).

Almost surely, 2414143341430 is an apocalyptic number.

414143341430 is an abundant number, since it is smaller than the sum of its proper divisors (569856581770).

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

414143341430 is a wasteful number, since it uses less digits than its factorization.

414143341430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452038.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414143341430 its reverse (34143341414), we get a palindrome (448286682844).

The spelling of 414143341430 in words is "four hundred fourteen billion, one hundred forty-three million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 53 65 70 91 95 106 130 133 182 190 247 265 266 371 455 494 530 665 689 742 910 1007 1235 1330 1378 1729 1855 2014 2470 3445 3458 3710 4823 5035 6890 7049 8645 9646 10070 13091 14098 17290 24115 26182 35245 48230 65455 70490 91637 130910 183274 451939 458185 903878 916370 2259695 3163573 4519390 5875207 6327146 8586841 11750414 15817865 17173682 23952767 29376035 31635730 41126449 42934205 47905534 58752070 60107887 82252898 85868410 111628933 119763835 120215774 167669369 205632245 223257866 239527670 300539435 311385971 335338738 411264490 455102573 558144665 601078870 622771942 781402531 838346845 910205146 1116289330 1556929855 1562805062 1676693690 2179701797 2275512865 3113859710 3185718011 3907012655 4359403594 4551025730 5916333449 6371436022 7814025310 10898508985 11832666898 15928590055 21797017970 29581667245 31857180110 41414334143 59163334490 82828668286 207071670715 414143341430