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45040441351000 = 235361799346429
BaseRepresentation
bin10100011110110110010111…
…00000011101101101011000
312220110211020210120121222111
422033123023200131231120
521400420310441213000
6235443143151202104
712326031060444244
oct1217331340355530
9186424223517874
1045040441351000
11133955a8a39167
125075180816334
131c193abca0304
14b19d7ccb9424
15531912a55cba
hex28f6cb81db58

45040441351000 has 128 divisors (see below), whose sum is σ = 108478405152000. Its totient is φ = 17496513216000.

The previous prime is 45040441350973. The next prime is 45040441351019. The reversal of 45040441351000 is 15314404054.

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, 145786 + ... + 9492214.

It is an arithmetic number, because the mean of its divisors is an integer number (847487540250).

Almost surely, 245040441351000 is an apocalyptic number.

45040441351000 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 45040441351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54239202576000).

45040441351000 is an abundant number, since it is smaller than the sum of its proper divisors (63437963801000).

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

45040441351000 is a wasteful number, since it uses less digits than its factorization.

45040441351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346590 (or 9346576 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 45040441351000 its reverse (15314404054), we get a palindrome (45055755755054).

The spelling of 45040441351000 in words is "forty-five trillion, forty billion, four hundred forty-one million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 79 100 122 125 158 200 244 250 305 316 395 488 500 610 632 790 1000 1220 1525 1580 1975 2440 3050 3160 3950 4819 6100 7625 7900 9638 9875 12200 15250 15800 19276 19750 24095 30500 38552 39500 48190 61000 79000 96380 120475 192760 240950 481900 602375 963800 1204750 2409500 4819000 9346429 18692858 37385716 46732145 74771432 93464290 186928580 233660725 373857160 467321450 570132169 738367891 934642900 1140264338 1168303625 1476735782 1869285800 2280528676 2336607250 2850660845 2953471564 3691839455 4561057352 4673214500 5701321690 5906943128 7383678910 9346429000 11402643380 14253304225 14767357820 18459197275 22805286760 28506608450 29534715640 36918394550 45040441351 57013216900 71266521125 73836789100 90080882702 92295986375 114026433800 142533042250 147673578200 180161765404 184591972750 225202206755 285066084500 360323530808 369183945500 450404413510 570132169000 738367891000 900808827020 1126011033775 1801617654040 2252022067550 4504044135100 5630055168875 9008088270200 11260110337750 22520220675500 45040441351000