Search a number
-
+
40772356547000 = 2353133136335119
BaseRepresentation
bin10010100010101000011011…
…10101000010000110111000
312100100210120122000211200112
421101110031311002012320
520321003241234001000
6222414321221323452
711405464001264231
oct1121241565020670
9170323518024615
1040772356547000
1111a9a506379441
1246a5b57866588
131999a80462550
14a0d56d384088
154aa8b1226235
hex25150dd421b8

40772356547000 has 64 divisors (see below), whose sum is σ = 102746338531200. Its totient is φ = 15054408566400.

The previous prime is 40772356546979. The next prime is 40772356547047. The reversal of 40772356547000 is 74565327704.

It is a super-3 number, since 3×407723565470003 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 40772356547000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568154560 + ... + 1568180559.

It is an arithmetic number, because the mean of its divisors is an integer number (1605411539550).

Almost surely, 240772356547000 is an apocalyptic number.

40772356547000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40772356547000 is an abundant number, since it is smaller than the sum of its proper divisors (61973981984200).

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

40772356547000 is a wasteful number, since it uses less digits than its factorization.

40772356547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136335153 (or 3136335139 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 50.

The spelling of 40772356547000 in words is "forty trillion, seven hundred seventy-two billion, three hundred fifty-six million, five hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 3136335119 6272670238 12545340476 15681675595 25090680952 31363351190 40772356547 62726702380 78408377975 81544713094 125453404760 156816755950 163089426188 203861782735 313633511900 326178852376 392041889875 407723565470 627267023800 784083779750 815447130940 1019308913675 1568167559500 1630894261880 2038617827350 3136335119000 4077235654700 5096544568375 8154471309400 10193089136750 20386178273500 40772356547000