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4023044434420 = 22511372213223331
BaseRepresentation
bin111010100010110000001…
…000100110100111110100
3112020121011212212021002021
4322202300020212213310
51011403143333400140
612320054444122524
7563440535320114
oct72426010464764
915217155767067
104023044434420
1113111887802a0
1254b839536444
132324aa14494b
14dca05ab7044
156e9ae145b4a
hex3a8b02269f4

4023044434420 has 96 divisors (see below), whose sum is σ = 9469841383296. Its totient is φ = 1422737164800.

The previous prime is 4023044434403. The next prime is 4023044434433. The reversal of 4023044434420 is 244344403204.

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 31 ways as a sum of consecutive naturals, for example, 17902155 + ... + 18125485.

It is an arithmetic number, because the mean of its divisors is an integer number (98644181076).

Almost surely, 24023044434420 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 4023044434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734920691648).

4023044434420 is an abundant number, since it is smaller than the sum of its proper divisors (5446796948876).

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

4023044434420 is a wasteful number, since it uses less digits than its factorization.

4023044434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225601 (or 225599 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4023044434420 its reverse (244344403204), we get a palindrome (4267388837624).

The spelling of 4023044434420 in words is "four trillion, twenty-three billion, forty-four million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 2213 4070 4426 8140 8852 11065 22130 24343 44260 48686 81881 97372 121715 163762 223331 243430 327524 409405 446662 486860 818810 893324 900691 1116655 1637620 1801382 2233310 2456641 3602764 4466620 4503455 4913282 8263247 9006910 9826564 12283205 16526494 18013820 24566410 33052988 41316235 49132820 82632470 90895717 165264940 181791434 363582868 454478585 494231503 908957170 988463006 1817914340 1976926012 2471157515 4942315030 5436546533 9884630060 10873093066 18286565611 21746186132 27182732665 36573131222 54365465330 73146262444 91432828055 108730930660 182865656110 201152221721 365731312220 402304443442 804608886884 1005761108605 2011522217210 4023044434420