Search a number
-
+
241537363403742 = 232742891375132503
BaseRepresentation
bin110110111010110101001100…
…101111101110001111011110
31011200012202011011000202222200
4312322311030233232033132
5223124322010012404432
62213412422150552330
7101606333013606210
oct6672651457561736
91150182134022880
10241537363403742
116aa63469858a7a
122310b6863686a6
13a4a0b4ca08063
144390683aca5b0
151cdce1b42da7c
hexdbad4cbee3de

241537363403742 has 96 divisors (see below), whose sum is σ = 598293878307840. Its totient is φ = 68987445120000.

The previous prime is 241537363403657. The next prime is 241537363403753. The reversal of 241537363403742 is 247304363735142.

241537363403742 is a `hidden beast` number, since 2 + 4 + 1 + 537 + 3 + 6 + 34 + 0 + 3 + 74 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7431216663 + ... + 7431249165.

It is an arithmetic number, because the mean of its divisors is an integer number (6232227899040).

Almost surely, 2241537363403742 is an apocalyptic number.

241537363403742 is an abundant number, since it is smaller than the sum of its proper divisors (356756514904098).

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

241537363403742 is a wasteful number, since it uses less digits than its factorization.

241537363403742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50558 (or 50555 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 54.

The spelling of 241537363403742 in words is "two hundred forty-one trillion, five hundred thirty-seven billion, three hundred sixty-three million, four hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 4289 8578 12867 13751 25734 27502 30023 32503 38601 41253 60046 65006 77202 82506 90069 96257 97509 123759 180138 192514 195018 227521 247518 270207 288771 292527 455042 540414 577542 585054 682563 866313 1365126 1732626 2047689 4095378 58978039 117956078 139405367 176934117 278810734 353868234 412846273 418216101 446948753 530802351 825692546 836432202 893897506 975837569 1061604702 1238538819 1254648303 1340846259 1951675138 2477077638 2509296606 2681692518 2927512707 3128641271 3715616457 4022538777 5855025414 6257282542 7431232914 8045077554 8782538121 9385923813 17565076242 18771847626 28157771439 56315542878 1916963201617 3833926403234 5750889604851 11501779209702 13418742411319 17252668814553 26837484822638 34505337629106 40256227233957 80512454467914 120768681701871 241537363403742