Search a number
-
+
354354028808241 = 3711193971319154183
BaseRepresentation
bin101000010010010000111101…
…0000000110000100000110001
31201110122220200112110102020010
41100210201322000300200301
5332421214022333330431
63253351554333405133
7134432143112352240
oct12044417200604061
91643586615412203
10354354028808241
11a29a97772a9810
12338b02273397a9
131229559808bc27
146370b7dd04957
152ae7865043846
hex142487a030831

354354028808241 has 128 divisors (see below), whose sum is σ = 622096175923200. Its totient is φ = 173819310255360.

The previous prime is 354354028808207. The next prime is 354354028808309. The reversal of 354354028808241 is 142808820453453.

It is not a de Polignac number, because 354354028808241 - 26 = 354354028808177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (354354028808441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2298192036 + ... + 2298346218.

It is an arithmetic number, because the mean of its divisors is an integer number (4860126374400).

Almost surely, 2354354028808241 is an apocalyptic number.

It is an amenable number.

354354028808241 is a deficient number, since it is larger than the sum of its proper divisors (267742147114959).

354354028808241 is a wasteful number, since it uses less digits than its factorization.

354354028808241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155939.

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 354354028808241 in words is "three hundred fifty-four trillion, three hundred fifty-four billion, twenty-eight million, eight hundred eight thousand, two hundred forty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 397 399 627 1191 1319 1463 2779 3957 4367 4389 7543 8337 9233 13101 14509 22629 25061 27699 30569 43527 52801 75183 82973 91707 101563 154183 158403 175427 248919 275671 304689 462549 523643 526281 580811 827013 1079281 1570929 1696013 1742433 1929697 2929477 3237843 3665501 5088039 5760073 5789091 8788431 9949217 10996503 11872091 17280219 20506339 29847651 32224247 35616273 40320511 61210651 61519017 69644519 96672741 109441387 120961533 183631953 203367377 208933557 225569729 328324161 428474557 610102131 673317161 676709187 766089709 1163002369 1285423671 1423571639 2019951483 2237041147 2298269127 3489007107 3863980163 4270714917 4713220127 6711123441 8141016583 11591940489 12793026059 14139660381 15659288029 24423049749 27047861141 38379078177 42503781793 46977864087 80736848669 81143583423 89551182413 127511345379 242210546007 268653547239 297526472551 565157940683 888105335359 892579417653 1534000124711 1695473822049 2664316006077 4602000374133 6216737347513 10738000872977 16874001371821 18650212042539 32214002618931 50622004115463 118118009602747 354354028808241