Search a number
-
+
451054351000 = 23531159694999
BaseRepresentation
bin1101001000001001110…
…11110011001010011000
31121010020202100010021201
412210010323303022120
524342224403213000
6543113404043544
744405355503251
oct6440473631230
91533222303251
10451054351000
11164322470a10
12735012335b4
13336c3967ba6
1417b8c94bb28
15baedb0896a
hex6904ef3298

451054351000 has 128 divisors (see below), whose sum is σ = 1170936000000. Its totient is φ = 161239536000.

The previous prime is 451054350983. The next prime is 451054351039. The reversal of 451054351000 is 153450154.

It is a self number, because there is not a number n which added to its sum of digits gives 451054351000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301501 + ... + 996499.

It is an arithmetic number, because the mean of its divisors is an integer number (9147937500).

Almost surely, 2451054351000 is an apocalyptic number.

451054351000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451054351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585468000000).

451054351000 is an abundant number, since it is smaller than the sum of its proper divisors (719881649000).

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

451054351000 is a wasteful number, since it uses less digits than its factorization.

451054351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695090 (or 695076 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 451054351000 in words is "four hundred fifty-one billion, fifty-four million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 125 200 220 236 250 275 295 440 472 500 550 590 649 1000 1100 1180 1298 1375 1475 2200 2360 2596 2750 2950 3245 5192 5500 5900 6490 7375 11000 11800 12980 14750 16225 25960 29500 32450 59000 64900 81125 129800 162250 324500 649000 694999 1389998 2779996 3474995 5559992 6949990 7644989 13899980 15289978 17374975 27799960 30579956 34749950 38224945 41004941 61159912 69499900 76449890 82009882 86874875 138999800 152899780 164019764 173749750 191124725 205024705 305799560 328039528 347499500 382249450 410049410 451054351 694999000 764498900 820098820 902108702 955623625 1025123525 1528997800 1640197640 1804217404 1911247250 2050247050 2255271755 3608434808 3822494500 4100494100 4510543510 5125617625 7644989000 8200988200 9021087020 10251235250 11276358775 18042174040 20502470500 22552717550 41004941000 45105435100 56381793875 90210870200 112763587750 225527175500 451054351000