Search a number
-
+
10302031440 = 243354769459
BaseRepresentation
bin10011001100000110…
…01000011001010000
3222120222002102101000
421212003020121100
5132044310001230
64422132142000
7513202552041
oct114603103120
928528072330
1010302031440
114407256778
121bb6167900
13c82449abc
146da3048c8
1540466db60
hex2660c8650

10302031440 has 80 divisors (see below), whose sum is σ = 35484782400. Its totient is φ = 2747207808.

The previous prime is 10302031429. The next prime is 10302031447. The reversal of 10302031440 is 4413020301.

10302031440 is a `hidden beast` number, since 10 + 302 + 0 + 314 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103020314402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302031447) 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, 2382570 + ... + 2386889.

It is an arithmetic number, because the mean of its divisors is an integer number (443559780).

Almost surely, 210302031440 is an apocalyptic number.

10302031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302031440 is an abundant number, since it is smaller than the sum of its proper divisors (25182750960).

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

10302031440 is a wasteful number, since it uses less digits than its factorization.

10302031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769481 (or 4769469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10302031440 its reverse (4413020301), we get a palindrome (14715051741).

The spelling of 10302031440 in words is "ten billion, three hundred two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4769459 9538918 14308377 19077836 23847295 28616754 38155672 42925131 47694590 57233508 71541885 76311344 85850262 95389180 114467016 128775393 143083770 171700524 190778360 214625655 228934032 257550786 286167540 343401048 381556720 429251310 515101572 572335080 643876965 686802096 858502620 1030203144 1144670160 1287753930 1717005240 2060406288 2575507860 3434010480 5151015720 10302031440