Search a number
-
+
4095429570414 = 234713571486527
BaseRepresentation
bin111011100110001010100…
…111111110111101101110
3112111112000112021011110000
4323212022213332331232
51014044414432223124
612413225300525130
7601612363655040
oct73461247767556
915445015234400
104095429570414
111339953252336
1256187b0b07a6
13239274772470
1410231139da90
15717e8d436c9
hex3b98a9fef6e

4095429570414 has 160 divisors (see below), whose sum is σ = 11314321514496. Its totient is φ = 1078219460160.

The previous prime is 4095429570403. The next prime is 4095429570433. The reversal of 4095429570414 is 4140759245904.

4095429570414 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 4 + 29 + 570 + 41 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8174419 + ... + 8660945.

Almost surely, 24095429570414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095429570414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657160757248).

4095429570414 is an abundant number, since it is smaller than the sum of its proper divisors (7218891944082).

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

4095429570414 is a wasteful number, since it uses less digits than its factorization.

4095429570414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487132 (or 487123 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4095429570414 in words is "four trillion, ninety-five billion, four hundred twenty-nine million, five hundred seventy thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 571 702 819 1053 1134 1142 1638 1713 2106 2457 3426 3997 4914 5139 7371 7423 7994 10278 11991 14742 14846 15417 22269 23982 30834 35973 44538 46251 51961 66807 71946 92502 103922 107919 133614 155883 200421 215838 311766 323757 400842 467649 486527 601263 647514 935298 973054 1202526 1402947 1459581 2805894 2919162 3405689 4208841 4378743 6324851 6811378 8417682 8757486 10217067 12649702 13136229 18974553 20434134 26272458 30651201 37949106 39408687 44273957 56923659 61302402 78817374 88547914 91953603 113847318 132821871 170770977 183907206 265643742 275860809 277806917 341541954 398465613 512312931 551721618 555613834 796931226 833420751 1024625862 1195396839 1666841502 1944648419 2390793678 2500262253 3586190517 3611489921 3889296838 5000524506 5833945257 7172381034 7222979842 7500786759 10834469763 11667890514 15001573518 17501835771 21668939526 22502360277 25280429447 32503409289 35003671542 45004720554 50560858894 52505507313 65006818578 75841288341 97510227867 105011014626 151682576682 157516521939 195020455734 227523865023 292530683601 315033043878 455047730046 585061367202 682571595069 1365143190138 2047714785207 4095429570414