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41451255342 = 232719347963
BaseRepresentation
bin100110100110101011…
…111111011000101110
310221222210211221120100
4212212223333120232
51134343010132332
631013100131530
72665125566640
oct464653773056
9127883757510
1041451255342
1116641175722
128049b36ba6
133ba7938933
142013222890
15112910367c
hex9a6aff62e

41451255342 has 96 divisors (see below), whose sum is σ = 108344920320. Its totient is φ = 11219654736.

The previous prime is 41451255331. The next prime is 41451255347. The reversal of 41451255342 is 24355215414.

41451255342 is a `hidden beast` number, since 4 + 14 + 51 + 2 + 553 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41451255297 and 41451255306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41451255347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840253 + ... + 888215.

It is an arithmetic number, because the mean of its divisors is an integer number (1128592920).

Almost surely, 241451255342 is an apocalyptic number.

41451255342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41451255342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172460160).

41451255342 is an abundant number, since it is smaller than the sum of its proper divisors (66893664978).

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

41451255342 is a wasteful number, since it uses less digits than its factorization.

41451255342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48035 (or 47994 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 41451255342 in words is "forty-one billion, four hundred fifty-one million, two hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 361 399 722 798 1083 1197 2166 2394 2527 3249 5054 6498 6859 7581 13718 15162 20577 22743 41154 45486 47963 48013 61731 95926 96026 123462 143889 144039 287778 288078 335741 431667 432117 671482 863334 864234 911297 1007223 1822594 2014446 2733891 3021669 5467782 6043338 6379079 8201673 12758158 16403346 17314643 19137237 34629286 38274474 51943929 57411711 103887858 114823422 121202501 155831787 242405002 311663574 328978217 363607503 657956434 727215006 986934651 1090822509 1973869302 2181645018 2302847519 2960803953 4605695038 5921607906 6908542557 13817085114 20725627671 41451255342