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40624223000 = 2353199112347
BaseRepresentation
bin100101110101011001…
…000111001100011000
310212212011122100110212
4211311121013030120
51131144300114000
630355034030252
72635464124634
oct456531071430
9125764570425
1040624223000
1116257351019
127a58b78388
133aa54ac79a
141d7545bdc4
1510cb6dbc35
hex975647318

40624223000 has 128 divisors (see below), whose sum is σ = 100216396800. Its totient is φ = 15370992000.

The previous prime is 40624222993. The next prime is 40624223053. The reversal of 40624223000 is 32242604.

It is a super-3 number, since 3×406242230003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17307827 + ... + 17310173.

It is an arithmetic number, because the mean of its divisors is an integer number (782940600).

Almost surely, 240624223000 is an apocalyptic number.

40624223000 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 40624223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50108198400).

40624223000 is an abundant number, since it is smaller than the sum of its proper divisors (59592173800).

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

40624223000 is a wasteful number, since it uses less digits than its factorization.

40624223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40624223000 its reverse (32242604), we get a palindrome (40656465604).

The spelling of 40624223000 in words is "forty billion, six hundred twenty-four million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 911 950 1000 1822 1900 2347 2375 3644 3800 4555 4694 4750 7288 9110 9388 9500 11735 17309 18220 18776 19000 22775 23470 34618 36440 44593 45550 46940 58675 69236 86545 89186 91100 93880 113875 117350 138472 173090 178372 182200 222965 227750 234700 293375 346180 356744 432725 445930 455500 469400 586750 692360 865450 891860 911000 1114825 1173500 1730900 1783720 2138117 2163625 2229650 2347000 3461800 4276234 4327250 4459300 5574125 8552468 8654500 8918600 10690585 11148250 17104936 17309000 21381170 22296500 40624223 42762340 44593000 53452925 81248446 85524680 106905850 162496892 203121115 213811700 267264625 324993784 406242230 427623400 534529250 812484460 1015605575 1069058500 1624968920 2031211150 2138117000 4062422300 5078027875 8124844600 10156055750 20312111500 40624223000