Search a number
-
+
10424310314320 = 2457194012443213
BaseRepresentation
bin1001011110110001100101…
…0100000011010101010000
31100220112222002221112202001
42113230121110003111100
52331242441420024240
634100510111403344
72124063061454260
oct227543124032520
940815862845661
1010424310314320
113359a1a458381
121204374523554
135a8015162626
14280779c277a0
15131260bc789a
hex97b19503550

10424310314320 has 160 divisors (see below), whose sum is σ = 29229439553280. Its totient is φ = 3377496268800.

The previous prime is 10424310314291. The next prime is 10424310314329. The reversal of 10424310314320 is 2341301342401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424310314329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3045034 + ... + 5488246.

It is an arithmetic number, because the mean of its divisors is an integer number (182683997208).

Almost surely, 210424310314320 is an apocalyptic number.

10424310314320 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 10424310314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614719776640).

10424310314320 is an abundant number, since it is smaller than the sum of its proper divisors (18805129238960).

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

10424310314320 is a wasteful number, since it uses less digits than its factorization.

10424310314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443653 (or 2443647 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10424310314320 its reverse (2341301342401), we get a palindrome (12765611656721).

The spelling of 10424310314320 in words is "ten trillion, four hundred twenty-four billion, three hundred ten million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 401 532 560 665 760 802 1064 1330 1520 1604 2005 2128 2660 2807 3208 4010 5320 5614 6416 7619 8020 10640 11228 14035 15238 16040 22456 28070 30476 32080 38095 44912 53333 56140 60952 76190 106666 112280 121904 152380 213332 224560 266665 304760 426664 533330 609520 853328 1066660 2133320 2443213 4266640 4886426 9772852 12216065 17102491 19545704 24432130 34204982 39091408 46421047 48864260 68409964 85512455 92842094 97728520 136819928 171024910 185684188 195457040 232105235 273639856 324947329 342049820 371368376 464210470 649894658 684099640 742736752 928420940 979728413 1299789316 1368199280 1624736645 1856841880 1959456826 2599578632 3249473290 3713683760 3918913652 4898642065 5199157264 6498946580 6858098891 7837827304 9797284130 12997893160 13716197782 15675654608 18614839847 19594568260 25995786320 27432395564 34290494455 37229679694 39189136520 54864791128 68580988910 74459359388 78378273040 93074199235 109729582256 130303878929 137161977820 148918718776 186148398470 260607757858 274323955640 297837437552 372296796940 521215515716 548647911280 651519394645 744593593880 1042431031432 1303038789290 1489187187760 2084862062864 2606077578580 5212155157160 10424310314320