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1024362131144 = 231119679144131
BaseRepresentation
bin11101110100000001011…
…11011010111011001000
310121221001120001220201112
432322000233122323020
5113240343201144034
62102330243305452
7134002435310312
oct16720057327310
93557046056645
101024362131144
1136547a799680
1214664097b288
137579b607961
1437817bca7b2
151b9a543a7ce
hexee80bdaec8

1024362131144 has 64 divisors (see below), whose sum is σ = 2238483513600. Its totient is φ = 434529057600.

The previous prime is 1024362131141. The next prime is 1024362131173. The reversal of 1024362131144 is 4411312634201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024362131144.

It is not an unprimeable number, because it can be changed into a prime (1024362131141) 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, 4460042 + ... + 4684089.

It is an arithmetic number, because the mean of its divisors is an integer number (34976304900).

Almost surely, 21024362131144 is an apocalyptic number.

It is an amenable number.

1024362131144 is an abundant number, since it is smaller than the sum of its proper divisors (1214121382456).

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

1024362131144 is a wasteful number, since it uses less digits than its factorization.

1024362131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144234 (or 9144230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 1024362131144 its reverse (4411312634201), we get a palindrome (5435674765345).

The spelling of 1024362131144 in words is "one trillion, twenty-four billion, three hundred sixty-two million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 737 836 1273 1474 1672 2546 2948 5092 5896 10184 14003 28006 56012 112024 9144131 18288262 36576524 73153048 100585441 173738489 201170882 347476978 402341764 612656777 694953956 804683528 1225313554 1389907912 1911123379 2450627108 3822246758 4901254216 6739224547 7644493516 11640478763 13478449094 15288987032 23280957526 26956898188 46561915052 53913796376 93123830104 128045266393 256090532786 512181065572 1024362131144