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454540244051531 = 1141471072117191321
BaseRepresentation
bin110011101011001101110010…
…1110010000110011001001011
32012121101121211010121102201102
41213112123211302012121023
5434034141404434122111
64250420523323212015
7164512306660135451
oct14726334562063113
92177347733542642
10454540244051531
11121915486a22370
1242b90b4007700b
1316681c656a8761
148035c181509d1
15378397c9c013b
hex19d66e5c8664b

454540244051531 has 128 divisors (see below), whose sum is σ = 527224206458880. Its totient is φ = 388187331840000.

The previous prime is 454540244051527. The next prime is 454540244051627. The reversal of 454540244051531 is 135150442045454.

It is not a de Polignac number, because 454540244051531 - 22 = 454540244051527 is a prime.

It is a super-3 number, since 3×4545402440515313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454540244053531) 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, 344087996351 + ... + 344087997671.

It is an arithmetic number, because the mean of its divisors is an integer number (4118939112960).

Almost surely, 2454540244051531 is an apocalyptic number.

454540244051531 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

454540244051531 is a deficient number, since it is larger than the sum of its proper divisors (72683962407349).

454540244051531 is a wasteful number, since it uses less digits than its factorization.

454540244051531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457.

The product of its (nonzero) digits is 3840000, while the sum is 47.

Adding to 454540244051531 its reverse (135150442045454), we get a palindrome (589690686096985).

The spelling of 454540244051531 in words is "four hundred fifty-four trillion, five hundred forty billion, two hundred forty-four million, fifty-one thousand, five hundred thirty-one".

Divisors: 1 11 41 47 107 211 451 517 719 1177 1321 1927 2321 4387 5029 7909 8651 9917 14531 21197 22577 29479 33793 48257 54161 55319 62087 76933 95161 109087 141347 151709 206189 248347 278731 324269 371723 406597 595771 682957 846263 925657 949799 1061119 1385513 1554817 1668799 2268079 2545567 3066041 3154253 3615851 4472567 5795227 6220069 6643309 7130323 10182227 10447789 11427971 11672309 13100357 15240643 16232863 28001237 29824217 34696783 38941759 39774361 43505879 44640553 63747497 68420759 73076399 78433553 101628493 125707681 144103927 148249891 178561493 200407589 272375669 292343243 328066387 428359349 478564669 491046083 537114637 665547383 762944561 1117913423 1222792897 1401738199 1630748801 1830262673 2204483479 2996132359 3215775673 4166768213 4776539171 5908261007 7321021213 8216711149 8392390171 9419156683 13450721867 15419120189 20132889403 21443612023 31280727001 45834450343 52541930881 57471266159 90383822639 103610723513 195838106011 235879732253 344087997011 386185424003 632183927749 879188092943 1007849765081 2154219166121 4248039664033 9671069022373 11086347415891 41321840368321 454540244051531