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345450663041055 = 3511133711873666961
BaseRepresentation
bin100111010001011111000000…
…0000011101101100000011111
31200022010202112200000020112120
41032202332000003231200133
5330234330424214303210
63222413502130034023
7132522662316123105
oct11642760003554037
91608122480006476
10345450663041055
11a0086892452010
12328b27a0118913
1311a9ab1c610670
146143c89263c75
1529e0e7035c270
hex13a2f800ed81f

345450663041055 has 128 divisors (see below), whose sum is σ = 667462652752896. Its totient is φ = 150301943193600.

The previous prime is 345450663041041. The next prime is 345450663041147. The reversal of 345450663041055 is 550140366054543.

It is a happy number.

It is not a de Polignac number, because 345450663041055 - 211 = 345450663039007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345450663040989 and 345450663041007.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 92372775 + ... + 96039735.

It is an arithmetic number, because the mean of its divisors is an integer number (5214551974632).

Almost surely, 2345450663041055 is an apocalyptic number.

345450663041055 is a deficient number, since it is larger than the sum of its proper divisors (322011989711841).

345450663041055 is a wasteful number, since it uses less digits than its factorization.

345450663041055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668217.

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 345450663041055 in words is "three hundred forty-five trillion, four hundred fifty billion, six hundred sixty-three million, forty-one thousand, fifty-five".

Divisors: 1 3 5 11 13 15 33 37 39 55 65 111 143 165 185 195 407 429 481 555 715 1187 1221 1443 2035 2145 2405 3561 5291 5935 6105 7215 13057 15431 15873 17805 26455 39171 43919 46293 65285 77155 79365 131757 169741 195855 219595 231465 483109 509223 570947 658785 848705 1449327 1712841 2415545 2546115 2854735 3666961 6280417 7246635 8564205 11000883 18334805 18841251 31402085 40336571 47670493 55004415 94206255 121009713 135677557 143011479 201682855 238352465 407032671 524375423 605048565 678387785 715057395 1492453127 1573126269 1763808241 2035163355 2621877115 4352682707 4477359381 5291424723 7462265635 7865631345 8819041205 13058048121 19401890651 21763413535 22386796905 26457123615 47879509777 56584875191 58205671953 65290240605 97009453255 143638529331 161049260159 169754625573 239397548885 282924375955 291028359765 483147780477 622433627101 718192646655 805246300795 848773127865 1771541861749 1867300881303 2093640382067 2415738902385 3112168135505 5314625585247 6280921146201 8857709308745 9336504406515 10468201910335 23030044202737 26573127926235 31404605731005 69090132608211 115150221013685 345450663041055