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1003144233340 = 225291739997451
BaseRepresentation
bin11101001100100000000…
…11100100000101111100
310112220021211212000202201
432212100003210011330
5112413414410431330
62044501010201244
7132321564203044
oct16462003440574
93486254760681
101003144233340
11357481849a47
121424bab83224
1373799810242
14367a3c76724
151b1627eaeca
hexe9900e417c

1003144233340 has 48 divisors (see below), whose sum is σ = 2191841376480. Its totient is φ = 385181753600.

The previous prime is 1003144233269. The next prime is 1003144233353. The reversal of 1003144233340 is 433324413001.

It is a junction number, because it is equal to n+sod(n) for n = 1003144233299 and 1003144233308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4898386 + ... + 5099065.

It is an arithmetic number, because the mean of its divisors is an integer number (45663362010).

Almost surely, 21003144233340 is an apocalyptic number.

1003144233340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003144233340 is an abundant number, since it is smaller than the sum of its proper divisors (1188697143140).

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

1003144233340 is a wasteful number, since it uses less digits than its factorization.

1003144233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997662 (or 9997660 counting only the distinct ones).

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

Adding to 1003144233340 its reverse (433324413001), we get a palindrome (1436468646341).

The spelling of 1003144233340 in words is "one trillion, three billion, one hundred forty-four million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 692 865 1730 3460 5017 10034 20068 25085 50170 100340 9997451 19994902 39989804 49987255 99974510 199949020 289926079 579852158 1159704316 1449630395 1729559023 2899260790 3459118046 5798521580 6918236092 8647795115 17295590230 34591180460 50157211667 100314423334 200628846668 250786058335 501572116670 1003144233340