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434331140114410 = 257112353462728807
BaseRepresentation
bin110001011000001011001100…
…1010100100100011111101010
32002221211122120221012022121221
41202300112121110210133222
5423412040133332130120
64135424545442052254
7160325250355015030
oct14260263124443752
92087748527168557
10434331140114410
11116433890672460
124086835004a08a
1315847334c33a16
147937a4caa2550
153532e3a3070aa
hex18b05995247ea

434331140114410 has 128 divisors (see below), whose sum is σ = 1036275612770304. Its totient is φ = 127046820975360.

The previous prime is 434331140114393. The next prime is 434331140114411. The reversal of 434331140114410 is 14411041133434.

It is not an unprimeable number, because it can be changed into a prime (434331140114411) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 230425774 + ... + 232303033.

It is an arithmetic number, because the mean of its divisors is an integer number (8095903224768).

Almost surely, 2434331140114410 is an apocalyptic number.

434331140114410 is an abundant number, since it is smaller than the sum of its proper divisors (601944472655894).

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

434331140114410 is a wasteful number, since it uses less digits than its factorization.

434331140114410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462728908.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 434331140114410 its reverse (14411041133434), we get a palindrome (448742181247844).

The spelling of 434331140114410 in words is "four hundred thirty-four trillion, three hundred thirty-one billion, one hundred forty million, one hundred fourteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 53 55 70 77 106 110 115 154 161 230 253 265 322 371 385 506 530 583 742 770 805 1166 1219 1265 1610 1771 1855 2438 2530 2915 3542 3710 4081 5830 6095 8162 8533 8855 12190 13409 17066 17710 20405 26818 40810 42665 67045 85330 93863 134090 187726 469315 938630 462728807 925457614 2313644035 3239101649 4627288070 5090016877 6478203298 10180033754 10642762561 16195508245 21285525122 24524626771 25450084385 32391016490 35630118139 49049253542 50900168770 53213812805 71260236278 74499337927 106427625610 117070388171 122623133855 148998675854 171672387397 178150590695 234140776342 245246267710 269770894481 343344774794 356301181390 372496689635 539541788962 564066415733 585351940855 744993379270 819492717197 858361936985 1128132831466 1170703881710 1348854472405 1638985434394 1716723873970 1888396261367 2697708944810 2820332078665 3776792522734 3948464910131 4097463585985 5640664157330 6204730573063 7896929820262 8194927171970 9441981306835 12409461146126 18883962613670 19742324550655 31023652865315 39484649101310 43433114011441 62047305730630 86866228022882 217165570057205 434331140114410