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45003353434120 = 23517315094194271
BaseRepresentation
bin10100011101110001010001…
…11001010010100000001000
312220100021112002010020112101
422032320220321102200020
521344313331434342440
6235414131040323144
712323246023400554
oct1216705071224010
9186307462106471
1045003353434120
11133808a6862294
125069b500134b4
131c15a4b32c573
14b1826138a864
15530991a4869a
hex28ee28e52808

45003353434120 has 128 divisors (see below), whose sum is σ = 110889840844800. Its totient is φ = 16363692748800.

The previous prime is 45003353434093. The next prime is 45003353434141. The reversal of 45003353434120 is 2143435330054.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45003353434120.

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, 8632585 + ... + 12826855.

It is an arithmetic number, because the mean of its divisors is an integer number (866326881600).

Almost surely, 245003353434120 is an apocalyptic number.

45003353434120 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 45003353434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55444920422400).

45003353434120 is an abundant number, since it is smaller than the sum of its proper divisors (65886487410680).

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

45003353434120 is a wasteful number, since it uses less digits than its factorization.

45003353434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194839 (or 4194835 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 45003353434120 its reverse (2143435330054), we get a palindrome (47146788764174).

The spelling of 45003353434120 in words is "forty-five trillion, three billion, three hundred fifty-three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 509 527 620 680 1018 1054 1240 2036 2108 2545 2635 4072 4216 5090 5270 8653 10180 10540 15779 17306 20360 21080 31558 34612 43265 63116 69224 78895 86530 126232 157790 173060 268243 315580 346120 536486 631160 1072972 1341215 2145944 2682430 4194271 5364860 8388542 10729720 16777084 20971355 33554168 41942710 71302607 83885420 130022401 142605214 167770840 260044802 285210428 356513035 520089604 570420856 650112005 713026070 1040179208 1300224010 1426052140 2134883939 2210380817 2600448020 2852104280 4269767878 4420761634 5200896040 8539535756 8841523268 10674419695 11051904085 17079071512 17683046536 21348839390 22103808170 36293026963 42697678780 44207616340 66181402109 72586053926 85395357560 88415232680 132362804218 145172107852 181465134815 264725608436 290344215704 330907010545 362930269630 529451216872 661814021090 725860539260 1125083835853 1323628042180 1451721078520 2250167671706 2647256084360 4500335343412 5625419179265 9000670686824 11250838358530 22501676717060 45003353434120