Search a number
-
+
34497034472943 = 32723113974921611
BaseRepresentation
bin1111101011111111101110…
…11111000100110111101111
311112010212212122102210022100
413311333313133010313233
514010144411311113233
6201211415134550143
710160220446614350
oct765776737046757
9145125778383270
1034497034472943
11aaa0123695809
123a5190b068353
131633096b810c3
14873945b1bd27
153ec531382813
hex1f5ff77c4def

34497034472943 has 96 divisors (see below), whose sum is σ = 59958258048000. Its totient is φ = 18685877253120.

The previous prime is 34497034472869. The next prime is 34497034472977. The reversal of 34497034472943 is 34927443079443.

34497034472943 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 70 + 3 + 4 + 472 + 94 + 3 = 666.

It is not a de Polignac number, because 34497034472943 - 28 = 34497034472687 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34497034472983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1596261208 + ... + 1596282818.

It is an arithmetic number, because the mean of its divisors is an integer number (624565188000).

Almost surely, 234497034472943 is an apocalyptic number.

34497034472943 is a deficient number, since it is larger than the sum of its proper divisors (25461223575057).

34497034472943 is a wasteful number, since it uses less digits than its factorization.

34497034472943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31509 (or 31506 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 34497034472943 in words is "thirty-four trillion, four hundred ninety-seven billion, thirty-four million, four hundred seventy-two thousand, nine hundred forty-three".

Divisors: 1 3 7 9 21 23 63 69 113 161 207 339 483 791 1017 1449 2373 2599 7119 7797 9749 18193 21611 23391 29247 54579 64833 68243 87741 151277 163737 194499 204729 224227 453831 497053 614187 672681 1101637 1361493 1491159 1569589 2018043 2442043 3304911 3479371 4473477 4708767 7326129 7711459 9914733 10438113 14126301 17094301 21978387 23134377 25337651 31314339 51282903 56166989 69403131 76012953 153848709 168500967 177363557 210685639 228038859 393168923 505502901 532090671 632056917 1179506769 1474799473 1596272013 1896170751 3538520307 4424398419 4845769697 13273195257 14537309091 23807477207 33920387879 43611927273 71422431621 101761163637 166652340449 214267294863 305283490911 499957021347 547571975761 1499871064041 1642715927283 3833003830327 4928147781849 11499011490981 34497034472943