Search a number
-
+
11352340944 = 2433731112071
BaseRepresentation
bin10101001001010011…
…01111100111010000
31002022011102200011000
422210221233213100
5141222144402234
65114252022000
7551215206630
oct124451574720
932264380130
1011352340944
1148a611185a
122249a61900
1310bbc20209
147999ca6c0
1546698b899
hex2a4a6f9d0

11352340944 has 160 divisors (see below), whose sum is σ = 37363322880. Its totient is φ = 3232828800.

The previous prime is 11352340933. The next prime is 11352340969. The reversal of 11352340944 is 44904325311.

11352340944 is a `hidden beast` number, since 1 + 1 + 3 + 523 + 40 + 94 + 4 = 666.

11352340944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113523409442 (a number of 21 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 = 11352340899 and 11352340908.

It is a congruent number.

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, 934429 + ... + 946499.

It is an arithmetic number, because the mean of its divisors is an integer number (233520768).

Almost surely, 211352340944 is an apocalyptic number.

11352340944 is a gapful number since it is divisible by the number (14) 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 11352340944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681661440).

11352340944 is an abundant number, since it is smaller than the sum of its proper divisors (26010981936).

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

11352340944 is a wasteful number, since it uses less digits than its factorization.

11352340944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12394 counting only the distinct ones).

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

The spelling of 11352340944 in words is "eleven billion, three hundred fifty-two million, three hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 311 336 378 432 504 622 756 933 1008 1244 1512 1866 2177 2488 2799 3024 3732 4354 4976 5598 6531 7464 8397 8708 11196 12071 13062 14928 16794 17416 19593 22392 24142 26124 33588 34832 36213 39186 44784 48284 52248 58779 67176 72426 78372 84497 96568 104496 108639 117558 134352 144852 156744 168994 193136 217278 235116 253491 289704 313488 325917 337988 434556 470232 506982 579408 651834 675976 760473 869112 940464 1013964 1303668 1351952 1520946 1738224 2027928 2281419 2607336 3041892 3754081 4055856 4562838 5214672 6083784 7508162 9125676 11262243 12167568 15016324 18251352 22524486 26278567 30032648 33786729 36502704 45048972 52557134 60065296 67573458 78835701 90097944 101360187 105114268 135146916 157671402 180195888 202720374 210228536 236507103 270293832 315342804 405440748 420457072 473014206 540587664 630685608 709521309 810881496 946028412 1261371216 1419042618 1621762992 1892056824 2838085236 3784113648 5676170472 11352340944