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1444496813640 = 233259319430571
BaseRepresentation
bin10101000001010010101…
…110000010111001001000
312010002111110121010121200
4111001102232002321020
5142131312141014030
63023332003504200
7206234656220466
oct25012256027110
95102443533550
101444496813640
1150767587aa41
121b3b53088060
13a62a54b87ba
144dcb20d3836
1527894805d60
hex15052b82e48

1444496813640 has 96 divisors (see below), whose sum is σ = 4695129316800. Its totient is φ = 385156920960.

The previous prime is 1444496813629. The next prime is 1444496813671. The reversal of 1444496813640 is 463186944441.

1444496813640 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 496 + 81 + 36 + 40 = 666.

It is a super-2 number, since 2×14444968136402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139555 + ... + 3570125.

It is an arithmetic number, because the mean of its divisors is an integer number (48907597050).

Almost surely, 21444496813640 is an apocalyptic number.

1444496813640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444496813640 is an abundant number, since it is smaller than the sum of its proper divisors (3250632503160).

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

1444496813640 is a wasteful number, since it uses less digits than its factorization.

1444496813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439907 (or 439900 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1444496813640 in words is "one trillion, four hundred forty-four billion, four hundred ninety-six million, eight hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9319 18638 27957 37276 46595 55914 74552 83871 93190 111828 139785 167742 186380 223656 279570 335484 372760 419355 430571 559140 670968 838710 861142 1118280 1291713 1677420 1722284 2152855 2583426 3354840 3444568 3875139 4305710 5166852 6458565 7750278 8611420 10333704 12917130 15500556 17222840 19375695 25834260 31001112 38751390 51668520 77502780 155005560 4012491149 8024982298 12037473447 16049964596 20062455745 24074946894 32099929192 36112420341 40124911490 48149893788 60187367235 72224840682 80249822980 96299787576 120374734470 144449681364 160499645960 180562101705 240749468940 288899362728 361124203410 481498937880 722248406820 1444496813640