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40454353000 = 2353595571231
BaseRepresentation
bin100101101011010001…
…000111000001101000
310212102100000001122101
4211223101013001220
51130322303244000
630330125103144
72631332220055
oct455321070150
9125370001571
1040454353000
111617a478196
127a100b7ab4
133a792446a9
141d5aa8002c
1510bb834e6a
hex96b447068

40454353000 has 128 divisors (see below), whose sum is σ = 96518822400. Its totient is φ = 15866016000.

The previous prime is 40454352979. The next prime is 40454353003. The reversal of 40454353000 is 35345404.

It is a self number, because there is not a number n which added to its sum of digits gives 40454353000.

It is not an unprimeable number, because it can be changed into a prime (40454353003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32862385 + ... + 32863615.

It is an arithmetic number, because the mean of its divisors is an integer number (754053300).

Almost surely, 240454353000 is an apocalyptic number.

40454353000 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 40454353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48259411200).

40454353000 is an abundant number, since it is smaller than the sum of its proper divisors (56064469400).

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

40454353000 is a wasteful number, since it uses less digits than its factorization.

40454353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 40454353000 its reverse (35345404), we get a palindrome (40489698404).

It can be divided in two parts, 4045435 and 3000, that added together give a triangular number (4048435 = T2845).

The spelling of 40454353000 in words is "forty billion, four hundred fifty-four million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 557 590 1000 1114 1180 1231 1475 2228 2360 2462 2785 2950 4456 4924 5570 5900 6155 7375 9848 11140 11800 12310 13925 14750 22280 24620 27850 29500 30775 32863 49240 55700 59000 61550 65726 69625 72629 111400 123100 131452 139250 145258 153875 164315 246200 262904 278500 290516 307750 328630 363145 557000 581032 615500 657260 685667 726290 821575 1231000 1314520 1371334 1452580 1643150 1815725 2742668 2905160 3286300 3428335 3631450 4107875 5485336 6572600 6856670 7262900 8215750 9078625 13713340 14525800 16431500 17141675 18157250 27426680 32863000 34283350 36314500 40454353 68566700 72629000 80908706 85708375 137133400 161817412 171416750 202271765 323634824 342833500 404543530 685667000 809087060 1011358825 1618174120 2022717650 4045435300 5056794125 8090870600 10113588250 20227176500 40454353000