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1004345203340 = 2251913928367189
BaseRepresentation
bin11101001110101111010…
…00111001101010001100
310120000101112200121220002
432213113220321222030
5112423344333001330
62045220111143432
7132363416241233
oct16472750715214
93500345617802
101004345203340
11357a38758536
12142795214b78
137392b58408b
1436879579b1a
151b1d2e78e45
hexe9d7a39a8c

1004345203340 has 96 divisors (see below), whose sum is σ = 2244038496000. Its totient is φ = 376515101952.

The previous prime is 1004345203333. The next prime is 1004345203349. The reversal of 1004345203340 is 433025434001.

It is not an unprimeable number, because it can be changed into a prime (1004345203349) 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, 14914466 + ... + 14981654.

It is an arithmetic number, because the mean of its divisors is an integer number (23375401000).

Almost surely, 21004345203340 is an apocalyptic number.

1004345203340 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 1004345203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122019248000).

1004345203340 is an abundant number, since it is smaller than the sum of its proper divisors (1239693292660).

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

1004345203340 is a wasteful number, since it uses less digits than its factorization.

1004345203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67639 (or 67637 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The spelling of 1004345203340 in words is "one trillion, four billion, three hundred forty-five million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 190 278 283 380 556 566 695 1132 1390 1415 2641 2780 2830 5282 5377 5660 10564 10754 13205 21508 26410 26885 39337 52820 53770 67189 78674 107540 134378 157348 196685 268756 335945 393370 671890 747403 786740 1276591 1343780 1494806 2553182 2989612 3737015 5106364 6382955 7474030 9339271 12765910 14948060 18678542 19014487 25531820 37357084 38028974 46696355 76057948 93392710 95072435 177446149 186785420 190144870 354892298 361275253 380289740 709784596 722550506 887230745 1445101012 1774461490 1806376265 2643013693 3548922980 3612752530 5286027386 7225505060 10572054772 13215068465 26430136930 50217260167 52860273860 100434520334 200869040668 251086300835 502172601670 1004345203340