Search a number
-
+
15120402445440 = 273252625069869
BaseRepresentation
bin1101110000000111111000…
…1101110111010010000000
31222112111101211210100002200
43130001332031313102000
53440213041011223230
652054114511513200
73120261445120245
oct334017615672200
958474354710080
1015120402445440
1148aa587aa0936
121842528228800
13858b038c3536
143a3b8d45b5cc
151b34b2b13160
hexdc07e377480

15120402445440 has 96 divisors (see below), whose sum is σ = 52212639714300. Its totient is φ = 4032107317248.

The previous prime is 15120402445429. The next prime is 15120402445441. The reversal of 15120402445440 is 4454420402151.

15120402445440 is a `hidden beast` number, since 1 + 5 + 1 + 204 + 0 + 2 + 4 + 4 + 5 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15051854827584 + 68547617856 = 3879672^2 + 261816^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×151204024454402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15120402445395 and 15120402445404.

It is not an unprimeable number, because it can be changed into a prime (15120402445441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312529175 + ... + 1312540694.

Almost surely, 215120402445440 is an apocalyptic number.

15120402445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15120402445440 is an abundant number, since it is smaller than the sum of its proper divisors (37092237268860).

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

15120402445440 is a wasteful number, since it uses less digits than its factorization.

15120402445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625069894 (or 2625069879 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 15120402445440 its reverse (4454420402151), we get a palindrome (19574822847591).

The spelling of 15120402445440 in words is "fifteen trillion, one hundred twenty billion, four hundred two million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2625069869 5250139738 7875209607 10500279476 13125349345 15750419214 21000558952 23625628821 26250698690 31500838428 39376048035 42001117904 47251257642 52501397380 63001676856 78752096070 84002235808 94502515284 105002794760 118128144105 126003353712 157504192140 168004471616 189005030568 210005589520 236256288210 252006707424 315008384280 336008943232 378010061136 420011179040 472512576420 504013414848 630016768560 756020122272 840022358080 945025152840 1008026829696 1260033537120 1512040244544 1680044716160 1890050305680 2520067074240 3024080489088 3780100611360 5040134148480 7560201222720 15120402445440