Search a number
-
+
1445002155040 = 255431971066139
BaseRepresentation
bin10101000001110000110…
…101110001010000100000
312010010210200111010200211
4111001300311301100200
5142133331022430130
63023454055023504
7206253333442153
oct25016065612040
95103720433624
101445002155040
11507905055464
121b407436ab94
13a63560c0b92
144dd1d279c9a
15278c3d76a2a
hex15070d71420

1445002155040 has 96 divisors (see below), whose sum is σ = 3510944015040. Its totient is φ = 561692673024.

The previous prime is 1445002155007. The next prime is 1445002155067. The reversal of 1445002155040 is 405512005441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1445002154993 and 1445002155011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822291 + ... + 1888429.

It is an arithmetic number, because the mean of its divisors is an integer number (36572333490).

Almost surely, 21445002155040 is an apocalyptic number.

1445002155040 is a gapful number since it is divisible by the number (10) 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 1445002155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755472007520).

1445002155040 is an abundant number, since it is smaller than the sum of its proper divisors (2065941860000).

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

1445002155040 is a wasteful number, since it uses less digits than its factorization.

1445002155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066394 (or 1066386 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 1445002155040 in words is "one trillion, four hundred forty-five billion, two million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 197 215 344 394 430 688 788 860 985 1376 1576 1720 1970 3152 3440 3940 6304 6880 7880 8471 15760 16942 31520 33884 42355 67768 84710 135536 169420 271072 338840 677680 1066139 1355360 2132278 4264556 5330695 8529112 10661390 17058224 21322780 34116448 42645560 45843977 85291120 91687954 170582240 183375908 210029383 229219885 366751816 420058766 458439770 733503632 840117532 916879540 1050146915 1467007264 1680235064 1833759080 2100293830 3360470128 3667518160 4200587660 6720940256 7335036320 8401175320 9031263469 16802350640 18062526938 33604701280 36125053876 45156317345 72250107752 90312634690 144500215504 180625269380 289000431008 361250538760 722501077520 1445002155040