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422302141210432 = 2675932237710599
BaseRepresentation
bin110000000000101001110000…
…1000111010101111101000000
32001101020200122022120021000211
41200001103201013111331000
5420322444241122213212
64054054531520523504
7154644215511250660
oct14001234107257500
92041220568507024
10422302141210432
1111261637235690a
123b444b98780594
1315183bc86b1072
14763d7659d01a0
1533c50ab6089a7
hex18014e11d5f40

422302141210432 has 112 divisors (see below), whose sum is σ = 959766171091200. Its totient is φ = 180600403156992.

The previous prime is 422302141210403. The next prime is 422302141210487. The reversal of 422302141210432 is 234012141203224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 422302141210394 and 422302141210403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593935069 + ... + 594645667.

Almost surely, 2422302141210432 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 422302141210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479883085545600).

422302141210432 is an abundant number, since it is smaller than the sum of its proper divisors (537464029880768).

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

422302141210432 is a wasteful number, since it uses less digits than its factorization.

422302141210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713448 (or 713438 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 422302141210432 its reverse (234012141203224), we get a palindrome (656314282413656).

The spelling of 422302141210432 in words is "four hundred twenty-two trillion, three hundred two billion, one hundred forty-one million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 593 1186 2237 2372 4151 4474 4744 8302 8948 9488 15659 16604 17896 18976 31318 33208 35792 37952 62636 66416 71584 125272 132832 143168 250544 265664 501088 710599 1002176 1326541 1421198 2653082 2842396 4974193 5306164 5684792 9285787 9948386 10612328 11369584 18571574 19896772 21224656 22739168 37143148 39793544 42449312 45478336 74286296 79587088 84898624 148572592 159174176 297145184 318348352 421385207 594290368 842770414 1589609963 1685540828 2949696449 3179219926 3371081656 5899392898 6358439852 6742163312 11127269741 11798785796 12716879704 13484326624 22254539482 23597571592 25433759408 26968653248 44509078964 47195143184 50867518816 89018157928 94390286368 101735037632 178036315856 188780572736 356072631712 712145263424 942638708059 1885277416118 3770554832236 6598470956413 7541109664472 13196941912826 15082219328944 26393883825652 30164438657888 52787767651304 60328877315776 105575535302608 211151070605216 422302141210432