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45032250411400 = 235273656446799
BaseRepresentation
bin10100011110100111000110…
…10010100000100110001000
312220110001002221212210012011
422033103203102200212020
521400302022101131100
6235435310311025304
712325321100554000
oct1217234322404610
9186401087783164
1045032250411400
1113392085406a9a
12507367566b234
131c186a5025ba5
14b1980310b000
155315d38e0bba
hex28f4e34a0988

45032250411400 has 96 divisors (see below), whose sum is σ = 122099104800000. Its totient is φ = 15439628688960.

The previous prime is 45032250411329. The next prime is 45032250411431. The reversal of 45032250411400 is 411405223054.

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 23 ways as a sum of consecutive naturals, for example, 328154800 + ... + 328291999.

It is an arithmetic number, because the mean of its divisors is an integer number (1271865675000).

Almost surely, 245032250411400 is an apocalyptic number.

45032250411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45032250411400 is an abundant number, since it is smaller than the sum of its proper divisors (77066854388600).

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

45032250411400 is a wasteful number, since it uses less digits than its factorization.

45032250411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656446836 (or 656446813 counting only the distinct ones).

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

Adding to 45032250411400 its reverse (411405223054), we get a palindrome (45443655634454).

The spelling of 45032250411400 in words is "forty-five trillion, thirty-two billion, two hundred fifty million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 34300 68600 656446799 1312893598 2625787196 3282233995 4595127593 5251574392 6564467990 9190255186 13128935980 16411169975 18380510372 22975637965 26257871960 32165893151 32822339950 36761020744 45951275930 64331786302 65644679900 91902551860 114878189825 128663572604 131289359800 160829465755 183805103720 225161252057 229756379650 257327145208 321658931510 450322504114 459512759300 643317863020 804147328775 900645008228 919025518600 1125806260285 1286635726040 1608294657550 1801290016456 2251612520570 3216589315100 4503225041140 5629031301425 6433178630200 9006450082280 11258062602850 22516125205700 45032250411400