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1000380185224 = 237192947689807
BaseRepresentation
bin11101000111010110100…
…11100011101010001000
310112122011012210211120021
432203223103203222020
5112342234311411344
62043322431110224
7132163232162530
oct16435323435210
93478135724507
101000380185224
11356293597762
12141a69372374
1373448c90104
14365c0b304c0
151b04ed13b84
hexe8eb4e3a88

1000380185224 has 128 divisors (see below), whose sum is σ = 2383976448000. Its totient is φ = 383819095296.

The previous prime is 1000380185221. The next prime is 1000380185239. The reversal of 1000380185224 is 4225810830001.

It is a happy number.

1000380185224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1000380185224.

It is not an unprimeable number, because it can be changed into a prime (1000380185221) 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, 1105329 + ... + 1795135.

It is an arithmetic number, because the mean of its divisors is an integer number (18624816000).

Almost surely, 21000380185224 is an apocalyptic number.

1000380185224 is a gapful number since it is divisible by the number (14) 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 1000380185224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191988224000).

1000380185224 is an abundant number, since it is smaller than the sum of its proper divisors (1383596262776).

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

1000380185224 is a wasteful number, since it uses less digits than its factorization.

1000380185224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689915 (or 689911 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 1000380185224 in words is "one trillion, three hundred eighty million, one hundred eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 47 56 58 76 94 116 133 152 188 203 232 266 329 376 406 532 551 658 812 893 1064 1102 1316 1363 1624 1786 2204 2632 2726 3572 3857 4408 5452 6251 7144 7714 9541 10904 12502 15428 19082 25004 25897 30856 38164 50008 51794 76328 103588 181279 207176 362558 689807 725116 1379614 1450232 2759228 4828649 5518456 9657298 13106333 19314596 20004403 26212666 32420929 38629192 40008806 52425332 64841858 80017612 91744331 104850664 129683716 140030821 160035224 183488662 226946503 259367432 280061642 366977324 380083657 453893006 560123284 615997651 733954648 760167314 907786012 940206941 1120246568 1231995302 1520334628 1815572024 1880413882 2463990604 2660585599 3040669256 3760827764 4311983557 4927981208 5321171198 6581448587 7521655528 8623967114 10642342396 13162897174 17247934228 17863931879 21284684792 26325794348 34495868456 35727863758 52651588696 71455727516 125047523153 142911455032 250095046306 500190092612 1000380185224