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1082339002240 = 27529148739217
BaseRepresentation
bin11111100000000000110…
…11101000011110000000
310211110201001210010100121
433300000123220132000
5120213112241032430
62145115241030024
7141124240503106
oct17600033503600
93743631703317
101082339002240
11388021171a81
12155921185314
137b0aab80142
143a557ac3c76
151d24a25ca7a
hexfc006e8780

1082339002240 has 128 divisors (see below), whose sum is σ = 2678558025600. Its totient is φ = 417715027968.

The previous prime is 1082339002231. The next prime is 1082339002243. The reversal of 1082339002240 is 422009332801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1082339002196 and 1082339002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082339002243) 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, 27579112 + ... + 27618328.

It is an arithmetic number, because the mean of its divisors is an integer number (20926234575).

Almost surely, 21082339002240 is an apocalyptic number.

1082339002240 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 1082339002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339279012800).

1082339002240 is an abundant number, since it is smaller than the sum of its proper divisors (1596219023360).

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

1082339002240 is a wasteful number, since it uses less digits than its factorization.

1082339002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40752 (or 40740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1082339002240 in words is "one trillion, eighty-two billion, three hundred thirty-nine million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1487 1856 2320 2974 3712 4640 5948 7435 9280 11896 14870 18560 23792 29740 39217 43123 47584 59480 78434 86246 95168 118960 156868 172492 190336 196085 215615 237920 313736 344984 392170 431230 475840 627472 689968 784340 862460 951680 1137293 1254944 1379936 1568680 1724920 2274586 2509888 2759872 3137360 3449840 4549172 5019776 5519744 5686465 6274720 6899680 9098344 11372930 12549440 13799360 18196688 22745860 25098880 27598720 36393376 45491720 58315679 72786752 90983440 116631358 145573504 181966880 233262716 291578395 363933760 466525432 583156790 727867520 933050864 1166313580 1691154691 1866101728 2332627160 3382309382 3732203456 4665254320 6764618764 7464406912 8455773455 9330508640 13529237528 16911546910 18661017280 27058475056 33823093820 37322034560 54116950112 67646187640 108233900224 135292375280 216467800448 270584750560 541169501120 1082339002240