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6430385576340 = 223251123141203021
BaseRepresentation
bin101110110010011000011…
…0110010001100110010100
3211202201221121221010120100
41131210300312101212110
51320323412201420330
621402024531334100
71232402643360255
oct135446066214624
924681847833510
106430385576340
11205a125022010
1287a303151330
133784c8bc45bb
141833376c8b2c
15b2408270060
hex5d930d91994

6430385576340 has 144 divisors (see below), whose sum is σ = 22203892803456. Its totient is φ = 1491103891200.

The previous prime is 6430385576297. The next prime is 6430385576347. The reversal of 6430385576340 is 436755830346.

6430385576340 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 38 + 5 + 576 + 34 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430385576347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70555971 + ... + 70647050.

It is an arithmetic number, because the mean of its divisors is an integer number (154193700024).

Almost surely, 26430385576340 is an apocalyptic number.

6430385576340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6430385576340 is an abundant number, since it is smaller than the sum of its proper divisors (15773507227116).

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

6430385576340 is a wasteful number, since it uses less digits than its factorization.

6430385576340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141203070 (or 141203065 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 6430385576340 in words is "six trillion, four hundred thirty billion, three hundred eighty-five million, five hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 141203021 282406042 423609063 564812084 706015105 847218126 1270827189 1412030210 1553233231 1694436252 2118045315 2541654378 2824060420 3106466462 3247669483 4236090630 4659699693 5083308756 6212932924 6354135945 6495338966 7766166155 8472181260 9319399386 9743008449 12708271890 12990677932 13979099079 15532332310 16238347415 18638798772 19486016898 23298498465 25416543780 27958198158 29229025347 31064664620 32476694830 35724364313 38972033796 46596996930 48715042245 55916396316 58458050694 64953389660 69895495395 71448728626 93193993860 97430084490 107173092939 116916101388 139790990790 142897457252 146145126735 178621821565 194860168980 214346185878 279581981580 292290253470 321519278817 357243643130 428692371756 535865464695 584580506940 643038557634 714487286260 1071730929390 1286077115268 1607596394085 2143461858780 3215192788170 6430385576340