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42323145034401 = 33711191071444901
BaseRepresentation
bin10011001111110001000000…
…00001101000101010100001
312112212001102202011110102000
421213320200001220222201
521021410300112100101
6230002552344514213
711625513663032520
oct1147704001505241
9175761382143360
1042323145034401
1112538166012060
1248b661377b969
131a80094a9a55a
14a64645d504b7
154d5dc72b6486
hex267e20068aa1

42323145034401 has 64 divisors (see below), whose sum is σ = 82286968473600. Its totient is φ = 20828888856000.

The previous prime is 42323145034361. The next prime is 42323145034451. The reversal of 42323145034401 is 10443054132324.

42323145034401 is a `hidden beast` number, since 4 + 232 + 3 + 14 + 5 + 0 + 3 + 4 + 401 = 666.

It is not a de Polignac number, because 42323145034401 - 27 = 42323145034273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42323145034451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535682950 + ... + 535761951.

It is an arithmetic number, because the mean of its divisors is an integer number (1285733882400).

Almost surely, 242323145034401 is an apocalyptic number.

It is an amenable number.

42323145034401 is a deficient number, since it is larger than the sum of its proper divisors (39963823439199).

42323145034401 is a wasteful number, since it uses less digits than its factorization.

42323145034401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071444947 (or 1071444941 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 42323145034401 its reverse (10443054132324), we get a palindrome (52766199166725).

The spelling of 42323145034401 in words is "forty-two trillion, three hundred twenty-three billion, one hundred forty-five million, thirty-four thousand, four hundred one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 1071444901 3214334703 7500114307 9643004109 11785893911 20357453119 22500342921 28929012327 35357681733 61072359357 67501028763 82501257377 106073045199 142502171833 183217078071 202503086289 223931984309 247503772131 318219135597 427506515499 549651234213 671795952927 742511316393 1282519546497 1567523890163 2015387858781 2227533949179 3847558639491 4702571670489 6046163576343 14107715011467 42323145034401