Search a number
-
+
1041443331156 = 223447591159153
BaseRepresentation
bin11110010011110101101…
…11000001110001010100
310200120010222100210010000
433021322313001301110
5114030333443044111
62114233224531300
7135145636153254
oct17117267016124
93616128323100
101041443331156
11371745678aa8
12149a09320b30
137729138b6b7
14385985a5964
151c154d01c56
hexf27adc1c54

1041443331156 has 120 divisors (see below), whose sum is σ = 2827593901440. Its totient is φ = 334002693888.

The previous prime is 1041443331151. The next prime is 1041443331167. The reversal of 1041443331156 is 6511333441401.

1041443331156 is a `hidden beast` number, since 1 + 0 + 41 + 4 + 433 + 31 + 156 = 666.

It is a super-3 number, since 3×10414433311563 (a number of 37 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1041443331156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041443331151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318876 + ... + 1478028.

It is an arithmetic number, because the mean of its divisors is an integer number (23563282512).

Almost surely, 21041443331156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041443331156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413796950720).

1041443331156 is an abundant number, since it is smaller than the sum of its proper divisors (1786150570284).

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

1041443331156 is a wasteful number, since it uses less digits than its factorization.

1041443331156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159275 (or 1159264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1041443331156 its reverse (6511333441401), we get a palindrome (7552776772557).

The spelling of 1041443331156 in words is "one trillion, forty-one billion, four hundred forty-three million, three hundred thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 59 81 94 108 118 141 162 177 188 236 282 324 354 423 531 564 708 846 1062 1269 1593 1692 2124 2538 2773 3186 3807 4779 5076 5546 6372 7614 8319 9558 11092 15228 16638 19116 24957 33276 49914 74871 99828 149742 224613 299484 449226 898452 1159153 2318306 3477459 4636612 6954918 10432377 13909836 20864754 31297131 41729508 54480191 62594262 68390027 93891393 108960382 125188524 136780054 163440573 187782786 205170081 217920764 273560108 326881146 375565572 410340162 490321719 615510243 653762292 820680324 980643438 1231020486 1470965157 1846530729 1961286876 2462040972 2941930314 3214331269 3693061458 4412895471 5539592187 5883860628 6428662538 7386122916 8825790942 9642993807 11079184374 12857325076 17651581884 19285987614 22158368748 28928981421 38571975228 57857962842 86786944263 115715925684 173573888526 260360832789 347147777052 520721665578 1041443331156