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2452002140412 = 22321141936774019
BaseRepresentation
bin100011101011100110101…
…101110111000011111100
322200102001020121122220100
4203223212231313003330
5310133200021443122
65114233443321100
7342102620206626
oct43534655670374
98612036548810
102452002140412
11865985314a30
1233726a680190
1314a2b8688aa6
148696b237c16
1543baee02aac
hex23ae6b770fc

2452002140412 has 144 divisors (see below), whose sum is σ = 6781249238400. Its totient is φ = 740871626880.

The previous prime is 2452002140387. The next prime is 2452002140417. The reversal of 2452002140412 is 2140412002542.

It is a happy number.

2452002140412 is a `hidden beast` number, since 2 + 4 + 5 + 200 + 2 + 1 + 40 + 412 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452002140417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610100539 + ... + 610104557.

It is an arithmetic number, because the mean of its divisors is an integer number (47092008600).

Almost surely, 22452002140412 is an apocalyptic number.

2452002140412 is a gapful number since it is divisible by the number (22) 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 2452002140412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390624619200).

2452002140412 is an abundant number, since it is smaller than the sum of its proper divisors (4329247097988).

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

2452002140412 is a wasteful number, since it uses less digits than its factorization.

2452002140412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2452002140412 its reverse (2140412002542), we get a palindrome (4592414142954).

The spelling of 2452002140412 in words is "two trillion, four hundred fifty-two billion, two million, one hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 419 838 1257 1676 2514 3677 3771 4019 4609 5028 7354 7542 8038 9218 11031 12057 13827 14708 15084 16076 18436 22062 24114 27654 33093 36171 40447 41481 44124 44209 48228 55308 66186 72342 80894 82962 88418 121341 132372 132627 144684 161788 165924 176836 242682 265254 364023 397881 485364 530508 728046 795762 1456092 1540663 1591524 1683961 3081326 3367922 4621989 5051883 6162652 6735844 9243978 10103766 13865967 14777863 15155649 16947293 18487956 18523571 20207532 27731934 29555726 30311298 33894586 37047142 44333589 50841879 55463868 55570713 59111452 60622596 67789172 74094284 88667178 101683758 111141426 133000767 152525637 162556493 166712139 177334356 203367516 222282852 266001534 305051274 325112986 333424278 487669479 532003068 610102548 650225972 666848556 975338958 1463008437 1950677916 2926016874 5852033748 6191924597 12383849194 18575773791 24767698388 37151547582 55727321373 68111170567 74303095164 111454642746 136222341134 204333511701 222909285492 272444682268 408667023402 613000535103 817334046804 1226001070206 2452002140412