Search a number
-
+
10440233422300 = 22521131437120121
BaseRepresentation
bin1001011111101100111001…
…1001111000110111011100
31100222002001211002020112001
42113323032121320313130
52332023044224003200
634112102123052044
72125165500604513
oct227731631706734
940862054066461
1010440233422300
113365750655050
121207479071024
135a9682006006
1428144a8a167a
15131893a8076a
hex97ece678ddc

10440233422300 has 144 divisors (see below), whose sum is σ = 26105443144704. Its totient is φ = 3588540480000.

The previous prime is 10440233422261. The next prime is 10440233422303. The reversal of 10440233422300 is 322433204401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440233422303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093761 + ... + 5026360.

It is an arithmetic number, because the mean of its divisors is an integer number (181287799616).

Almost surely, 210440233422300 is an apocalyptic number.

10440233422300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440233422300 is an abundant number, since it is smaller than the sum of its proper divisors (15665209722404).

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

10440233422300 is a wasteful number, since it uses less digits than its factorization.

10440233422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120220 (or 7120213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10440233422300 its reverse (322433204401), we get a palindrome (10762666626701).

The spelling of 10440233422300 in words is "ten trillion, four hundred forty billion, two hundred thirty-three million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1550 1705 1892 2150 2365 2666 3100 3410 4300 4730 5332 6665 6820 8525 9460 11825 13330 14663 17050 23650 26660 29326 33325 34100 47300 58652 66650 73315 133300 146630 293260 366575 733150 1466300 7120121 14240242 28480484 35600605 71201210 78321331 142402420 156642662 178003025 220723751 306165203 313285324 356006050 391606655 441447502 612330406 712012100 783213310 882895004 1103618755 1224660812 1530826015 1566426620 1958033275 2207237510 2427961261 3061652030 3367817233 3916066550 4414475020 4855922522 5518093775 6123304060 6735634466 7654130075 7832133100 9491121293 9711845044 11036187550 12139806305 13471268932 15308260150 16839086165 18982242586 22072375100 24279612610 30616520300 33678172330 37964485172 47455606465 48559225220 60699031525 67356344660 84195430825 94911212930 104402334223 121398063050 168390861650 189822425860 208804668446 237278032325 242796126100 336781723300 417609336892 474556064650 522011671115 949112129300 1044023342230 2088046684460 2610058355575 5220116711150 10440233422300