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1133420234432 = 261759149911779
BaseRepresentation
bin10000011111100101000…
…111000100011011000000
311000100120000010120201012
4100133211013010123000
5122032221040000212
62224404105100052
7144613132014233
oct20374507043300
94010500116635
101133420234432
113a77541a0852
121637b8187628
1382b5b92c215
143cc01c6941a
151e7399cc922
hex107e51c46c0

1133420234432 has 112 divisors (see below), whose sum is σ = 2423617200000. Its totient is φ = 523939713024.

The previous prime is 1133420234363. The next prime is 1133420234437. The reversal of 1133420234432 is 2344320243311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1133420234437) by changing a digit.

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, 96217919 + ... + 96229697.

Almost surely, 21133420234432 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 1133420234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211808600000).

1133420234432 is an abundant number, since it is smaller than the sum of its proper divisors (1290196965568).

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

1133420234432 is a wasteful number, since it uses less digits than its factorization.

1133420234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1133420234432 its reverse (2344320243311), we get a palindrome (3477740477743).

The spelling of 1133420234432 in words is "one trillion, one hundred thirty-three billion, four hundred twenty million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1499 1888 2006 2998 3776 4012 5996 8024 11779 11992 16048 23558 23984 25483 32096 47116 47968 50966 64192 88441 94232 95936 101932 176882 188464 200243 203864 353764 376928 400486 407728 694961 707528 753856 800972 815456 1389922 1415056 1503497 1601944 1630912 2779844 2830112 3006994 3203888 5559688 5660224 6013988 6407776 11119376 11814337 12027976 12815552 17656721 22238752 23628674 24055952 35313442 44477504 47257348 48111904 70626884 94514696 96223808 141253768 189029392 282507536 300164257 378058784 565015072 600328514 756117568 1041746539 1130030144 1200657028 2083493078 2401314056 4166986156 4802628112 8333972312 9605256224 16667944624 17709691163 19210512448 33335889248 35419382326 66671778496 70838764652 141677529304 283355058608 566710117216 1133420234432