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10402330444432 = 2429531560727103
BaseRepresentation
bin1001011101011111101100…
…1101100000001010010000
31100211110020021221110120221
42113113323031200022100
52330412433043210212
634042433054442424
72122354305606043
oct227277315401220
940743207843527
1010402330444432
113350670390853
12120005b503414
135a5c2153b064
1427d692a06c5a
151308c6223807
hex975fb360290

10402330444432 has 80 divisors (see below), whose sum is σ = 21245030231040. Its totient is φ = 4926566002176.

The previous prime is 10402330444423. The next prime is 10402330444463. The reversal of 10402330444432 is 23444403320401.

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, 383793793 + ... + 383820895.

It is an arithmetic number, because the mean of its divisors is an integer number (265562877888).

Almost surely, 210402330444432 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 10402330444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622515115520).

10402330444432 is an abundant number, since it is smaller than the sum of its proper divisors (10842699786608).

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

10402330444432 is a wasteful number, since it uses less digits than its factorization.

10402330444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42800 (or 42794 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 10402330444432 its reverse (23444403320401), we get a palindrome (33846733764833).

The spelling of 10402330444432 in words is "ten trillion, four hundred two billion, three hundred thirty million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 12296 15607 24592 27103 31214 54206 62428 108412 124856 216824 249712 433648 452603 785987 827171 905206 1436459 1571974 1654342 1810412 2872918 3143948 3308684 3620824 5745836 6287896 6617368 7241648 11491672 12575792 13234736 22983344 23987959 41657311 47975918 83314622 95951836 166629244 191903672 333258488 383807344 422996521 666516976 845993042 1691986084 3383972168 6767944336 12266899109 22418815613 24533798218 44837631226 49067596436 89675262452 98135192872 179350524904 196270385744 358701049808 650145652777 1300291305554 2600582611108 5201165222216 10402330444432