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45341433414354 = 23711313736184737
BaseRepresentation
bin10100100111100111000000…
…00010000100001011010010
312221112121011110020200210210
422103303200002010023102
521420333223423224404
6240233322243504550
712356544662663610
oct1223634002041322
9187477143220723
1045341433414354
11134a1215128330
125103582388156
131c3b8a94ba74c
14b2a773aa06b0
1553967c379689
hex293ce00842d2

45341433414354 has 128 divisors (see below), whose sum is σ = 116710729334784. Its totient is φ = 11396653056000.

The previous prime is 45341433414317. The next prime is 45341433414397.

45341433414354 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535041874 + ... + 535126610.

It is an arithmetic number, because the mean of its divisors is an integer number (911802572928).

Almost surely, 245341433414354 is an apocalyptic number.

45341433414354 is an abundant number, since it is smaller than the sum of its proper divisors (71369295920430).

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

45341433414354 is a wasteful number, since it uses less digits than its factorization.

45341433414354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122152.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 4534143 and 3414354, that added together give a palindrome (7948497).

The spelling of 45341433414354 in words is "forty-five trillion, three hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4774 7161 14322 37361 74722 84737 112083 169474 224166 254211 261527 410971 508422 523054 593159 784581 821942 932107 1158191 1186318 1232913 1569162 1779477 1864214 2316382 2465826 2626847 2796321 2876797 3474573 3558954 5253694 5592642 5753594 6524749 6949146 7880541 8107337 8630391 12740101 13049498 15761082 16214674 17260782 18387929 19574247 24322011 25480202 28895317 36775858 38220303 39148494 48644022 55163787 57790634 76440606 86685951 89180707 110327574 173371902 178361414 202267219 267542121 404534438 535084242 606801657 1213603314 3165859057 6331718114 9497577171 18995154342 22161013399 34824449627 44322026798 66483040197 69648899254 98141630767 104473348881 132966080394 196283261534 208946697762 243771147389 294424892301 487542294778 588849784602 686991415369 731313442167 1079557938437 1373982830738 1462626884334 2060974246107 2159115876874 3238673815311 4121948492214 6477347630622 7556905569059 15113811138118 22670716707177 45341433414354