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1144411401540 = 2235112402972161
BaseRepresentation
bin10000101001110100001…
…111000010110101000100
311001101220222221201111110
4100221310033002311010
5122222223304322130
62233422500005020
7145452403261221
oct20516417026504
94041828851443
101144411401540
11401384446330
12165965090770
1383bc0a832b4
143d5658ba948
151eb7e8c4ab0
hex10a743c2d44

1144411401540 has 96 divisors (see below), whose sum is σ = 3495850565760. Its totient is φ = 277417676800.

The previous prime is 1144411401503. The next prime is 1144411401559. The reversal of 1144411401540 is 451041144411.

It is a super-2 number, since 2×11444114015402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1144411401498 and 1144411401507.

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, 15823060 + ... + 15895220.

It is an arithmetic number, because the mean of its divisors is an integer number (36415110060).

Almost surely, 21144411401540 is an apocalyptic number.

1144411401540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144411401540 is an abundant number, since it is smaller than the sum of its proper divisors (2351439164220).

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

1144411401540 is a wasteful number, since it uses less digits than its factorization.

1144411401540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96213 (or 96211 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 1144411401540 its reverse (451041144411), we get a palindrome (1595452545951).

The spelling of 1144411401540 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, four hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 24029 48058 72087 72161 96116 120145 144174 144322 216483 240290 264319 288348 288644 360435 360805 432966 480580 528638 720870 721610 792957 793771 865932 1057276 1082415 1321595 1441740 1443220 1585914 1587542 2164830 2381313 2643190 3171828 3175084 3964785 3968855 4329660 4762626 5286380 7929570 7937710 9525252 11906565 15859140 15875420 23813130 47626260 1733956669 3467913338 5201870007 6935826676 8669783345 10403740014 17339566690 19073523359 20807480028 26009350035 34679133380 38147046718 52018700070 57220570077 76294093436 95367616795 104037400140 114441140154 190735233590 228882280308 286102850385 381470467180 572205700770 1144411401540