Search a number
-
+
10240452132420 = 2235413950998087
BaseRepresentation
bin1001010100000100101010…
…0000101111111001000100
31100020222101201100011220110
42111001022200233321010
52320234421221214140
633440222044433020
72104563643632366
oct225011240577104
940228351304813
1010240452132420
113298a51296014
121194802848770
135938940c2413
142758d7872d36
1512b59e90e380
hex9504a82fe44

10240452132420 has 96 divisors (see below), whose sum is σ = 28689365376000. Its totient is φ = 2729254513024.

The previous prime is 10240452132367. The next prime is 10240452132437. The reversal of 10240452132420 is 2423125404201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266281617 + ... + 1266289703.

It is an arithmetic number, because the mean of its divisors is an integer number (298847556000).

Almost surely, 210240452132420 is an apocalyptic number.

10240452132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240452132420 is an abundant number, since it is smaller than the sum of its proper divisors (18448913243580).

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

10240452132420 is a wasteful number, since it uses less digits than its factorization.

10240452132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17337 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10240452132420 its reverse (2423125404201), we get a palindrome (12663577536621).

The spelling of 10240452132420 in words is "ten trillion, two hundred forty billion, four hundred fifty-two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4139 5099 8087 8278 10198 12417 15297 16174 16556 20396 20695 24261 24834 25495 30594 32348 40435 41390 48522 49668 50990 61188 62085 76485 80870 82780 97044 101980 121305 124170 152970 161740 242610 248340 305940 485220 21104761 33472093 41235613 42209522 63314283 66944186 82471226 84419044 100416279 105523805 123706839 126628566 133888372 164942452 167360465 200832558 206178065 211047610 247413678 253257132 316571415 334720930 401665116 412356130 422095220 494827356 502081395 618534195 633142830 669441860 824712260 1004162790 1237068390 1266285660 2008325580 2474136780 170674202207 341348404414 512022606621 682696808828 853371011035 1024045213242 1706742022070 2048090426484 2560113033105 3413484044140 5120226066210 10240452132420