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40433734007334 = 23247223787272329
BaseRepresentation
bin10010011000110001101100…
…10110100011101000100110
312022011102112102222111210100
421030120312112203220212
520244431241401213314
6221555000113204530
711342145423216243
oct1114306626435046
9168142472874710
1040433734007334
1111979939818478
1246503b3860746
131973b66a6a795
149db00899a5ca
154a1b92e71c09
hex24c6365a3a26

40433734007334 has 96 divisors (see below), whose sum is σ = 89986128261120. Its totient is φ = 13115259835776.

The previous prime is 40433734007327. The next prime is 40433734007339. The reversal of 40433734007334 is 43370043733404.

40433734007334 is a `hidden beast` number, since 40 + 43 + 3 + 73 + 400 + 73 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40433734007334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40433734007339) 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, 148337682 + ... + 148610010.

It is an arithmetic number, because the mean of its divisors is an integer number (937355502720).

Almost surely, 240433734007334 is an apocalyptic number.

40433734007334 is an abundant number, since it is smaller than the sum of its proper divisors (49552394253786).

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

40433734007334 is a wasteful number, since it uses less digits than its factorization.

40433734007334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273394 (or 273391 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 45.

The spelling of 40433734007334 in words is "forty trillion, four hundred thirty-three billion, seven hundred thirty-four million, seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 47 94 141 223 282 423 446 669 787 846 1338 1574 2007 2361 4014 4722 7083 10481 14166 20962 31443 36989 62886 73978 94329 110967 175501 188658 221934 272329 332901 351002 526503 544658 665802 816987 1053006 1579509 1633974 2450961 3159018 4901922 8248547 12799463 16497094 24745641 25598926 38398389 49491282 60729367 74236923 76796778 115195167 121458734 148473846 182188101 214322923 230390334 364376202 428645846 546564303 642968769 1093128606 1285937538 1928906307 2854280249 3857812614 5708560498 8562840747 10073177381 17125681494 20146354762 25688522241 30219532143 47794011829 51377044482 60439064286 90658596429 95588023658 143382035487 181317192858 286764070974 430146106461 860292212922 2246318555963 4492637111926 6738955667889 13477911335778 20216867003667 40433734007334