Search a number
-
+
10411033440 = 2535121317881
BaseRepresentation
bin10011011001000101…
…11100001101100000
3222212120012022000010
421230202330031200
5132310211032230
64441024324520
7515665216113
oct115442741540
928776168003
1010411033440
114462836575
122026773740
13c9bbc2b22
1470a99a57a
1540e0009b0
hex26c8bc360

10411033440 has 96 divisors (see below), whose sum is σ = 32823626976. Its totient is φ = 2773831680.

The previous prime is 10411033411. The next prime is 10411033447. The reversal of 10411033440 is 4433011401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411033447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573300 + ... + 591180.

It is an arithmetic number, because the mean of its divisors is an integer number (341912781).

Almost surely, 210411033440 is an apocalyptic number.

10411033440 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 10411033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411813488).

10411033440 is an abundant number, since it is smaller than the sum of its proper divisors (22412593536).

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

10411033440 is a wasteful number, since it uses less digits than its factorization.

10411033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10411033440 its reverse (4433011401), we get a palindrome (14844044841).

It can be divided in two parts, 104110 and 33440, that added together give a triangular number (137550 = T524).

The spelling of 10411033440 in words is "ten billion, four hundred eleven million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1213 2426 3639 4852 6065 7278 9704 12130 14556 17881 18195 19408 24260 29112 35762 36390 38816 48520 53643 58224 71524 72780 89405 97040 107286 116448 143048 145560 178810 194080 214572 268215 286096 291120 357620 429144 536430 572192 582240 715240 858288 1072860 1430480 1716576 2145720 2860960 4291440 8582880 21689653 43379306 65068959 86758612 108448265 130137918 173517224 216896530 260275836 325344795 347034448 433793060 520551672 650689590 694068896 867586120 1041103344 1301379180 1735172240 2082206688 2602758360 3470344480 5205516720 10411033440