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10231142024240 = 245163901187071
BaseRepresentation
bin1001010011100001111110…
…0101100000010000110000
31100020002100212201200102222
42110320133211200100300
52320111334324233430
633432042144500212
72104114144212014
oct224703745402060
940202325650388
1010231142024240
113295003a46a35
121192a4491a668
13592a3c315477
142752931b6544
1512b2073c89e5
hex94e1f960430

10231142024240 has 80 divisors (see below), whose sum is σ = 23936271123456. Its totient is φ = 4066851628800.

The previous prime is 10231142024153. The next prime is 10231142024329. The reversal of 10231142024240 is 4242024113201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117459905 + ... + 117546975.

Almost surely, 210231142024240 is an apocalyptic number.

10231142024240 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 10231142024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968135561728).

10231142024240 is an abundant number, since it is smaller than the sum of its proper divisors (13705129099216).

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

10231142024240 is a wasteful number, since it uses less digits than its factorization.

10231142024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96258 (or 96252 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10231142024240 its reverse (4242024113201), we get a palindrome (14473166137441).

The spelling of 10231142024240 in words is "ten trillion, two hundred thirty-one billion, one hundred forty-two million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 9011 13040 18022 36044 45055 72088 87071 90110 144176 174142 180220 348284 360440 435355 696568 720880 870710 1393136 1468793 1741420 2937586 3482840 5875172 6965680 7343965 11750344 14192573 14687930 23500688 28385146 29375860 56770292 58751720 70962865 113540584 117503440 141925730 227081168 283851460 567702920 784596781 1135405840 1569193562 3138387124 3922983905 6276774248 7845967810 12553548496 15691935620 31383871240 62767742480 127889275303 255778550606 511557101212 639446376515 1023114202424 1278892753030 2046228404848 2557785506060 5115571012120 10231142024240