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1000141242232 = 231197316936973
BaseRepresentation
bin11101000110111010001…
…00000011111101111000
310112121112120012021101211
432203131010003331320
5112341242124222412
62043243013452504
7132154301201656
oct16433504037570
93477476167354
101000141242232
11356180726310
12141a01341134
137340b61c422
143659b0d1dd6
151b038d65ca7
hexe8dd103f78

1000141242232 has 64 divisors (see below), whose sum is σ = 2067541711200. Its totient is φ = 449768816640.

The previous prime is 1000141242173. The next prime is 1000141242349. The reversal of 1000141242232 is 2322421410001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27032098 + ... + 27069070.

Almost surely, 21000141242232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000141242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033770855600).

1000141242232 is an abundant number, since it is smaller than the sum of its proper divisors (1067400468968).

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

1000141242232 is a wasteful number, since it uses less digits than its factorization.

1000141242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256 (or 40252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1000141242232 its reverse (2322421410001), we get a palindrome (3322562652233).

The spelling of 1000141242232 in words is "one trillion, one hundred forty-one million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 3169 4268 6338 8536 12676 25352 34859 36973 69718 73946 139436 147892 278872 295784 307393 406703 614786 813406 1229572 1626812 2459144 3253624 3381323 3586381 6762646 7172762 13525292 14345524 27050584 28691048 39450191 78900382 117167437 157800764 234334874 315601528 468669748 937339496 1288841807 2577683614 5155367228 10310734456 11365241389 22730482778 45460965556 90921931112 125017655279 250035310558 500070621116 1000141242232