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1023343310440 = 2351117294717607
BaseRepresentation
bin11101110010001000000…
…00111011011001101000
310121211102112222110110101
432321010000323121220
5113231301341413230
62102041210355144
7133635254421463
oct16710400733150
93554375873411
101023343310440
11364aa76905a0
121463b772bab4
137566850b079
143775c7802da
151b945c8caca
hexee4403b668

1023343310440 has 128 divisors (see below), whose sum is σ = 2751308985600. Its totient is φ = 338157998080.

The previous prime is 1023343310413. The next prime is 1023343310443. The reversal of 1023343310440 is 440133433201.

It is a junction number, because it is equal to n+sod(n) for n = 1023343310399 and 1023343310408.

It is not an unprimeable number, because it can be changed into a prime (1023343310443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141884 + ... + 2575723.

It is an arithmetic number, because the mean of its divisors is an integer number (21494601450).

Almost surely, 21023343310440 is an apocalyptic number.

1023343310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023343310440 is an abundant number, since it is smaller than the sum of its proper divisors (1727965675160).

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

1023343310440 is a wasteful number, since it uses less digits than its factorization.

1023343310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717675 (or 4717671 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1023343310440 its reverse (440133433201), we get a palindrome (1463476743641).

The spelling of 1023343310440 in words is "one trillion, twenty-three billion, three hundred forty-three million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 85 88 110 116 136 145 170 187 220 232 290 319 340 374 440 493 580 638 680 748 935 986 1160 1276 1496 1595 1870 1972 2465 2552 3190 3740 3944 4930 5423 6380 7480 9860 10846 12760 19720 21692 27115 43384 54230 108460 216920 4717607 9435214 18870428 23588035 37740856 47176070 51893677 80199319 94352140 103787354 136810603 160398638 188704280 207574708 259468385 273621206 320797276 400996595 415149416 518936770 547242412 641594552 684053015 801993190 882192509 1037873540 1094484824 1368106030 1504916633 1603986380 1764385018 2075747080 2325780251 2736212060 3009833266 3207972760 3528770036 4410962545 4651560502 5472424120 6019666532 7057540072 7524583165 8821925090 9303121004 11628901255 12039333064 15049166330 17643850180 18606242008 23257802510 25583582761 30098332660 35287700360 46515605020 51167165522 60196665320 93031210040 102334331044 127917913805 204668662088 255835827610 511671655220 1023343310440