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4404320140 = 22511223531493
BaseRepresentation
bin1000001101000010…
…01001011110001100
3102100221111122102011
410012201021132030
533010001221030
62005011511004
7214100050333
oct40641113614
912327448364
104404320140
11196013aa00
12a2abb8464
135526164bc
142dad20d1a
151ab9ddb2a
hex10684978c

4404320140 has 144 divisors (see below), whose sum is σ = 10815747264. Its totient is φ = 1502026240.

The previous prime is 4404320113. The next prime is 4404320143. The reversal of 4404320140 is 410234044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404320143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2949234 + ... + 2950726.

It is an arithmetic number, because the mean of its divisors is an integer number (75109356).

Almost surely, 24404320140 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 4404320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407873632).

4404320140 is an abundant number, since it is smaller than the sum of its proper divisors (6411427124).

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

4404320140 is a wasteful number, since it uses less digits than its factorization.

4404320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4404320140 is about 66365.0520982241. The cubic root of 4404320140 is about 1639.1786661678.

Adding to 4404320140 its reverse (410234044), we get a palindrome (4814554184).

The spelling of 4404320140 in words is "four billion, four hundred four million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 53 55 92 106 110 115 121 212 220 230 242 253 265 460 484 506 530 583 605 1012 1060 1166 1210 1219 1265 1493 2332 2420 2438 2530 2783 2915 2986 4876 5060 5566 5830 5972 6095 6413 7465 11132 11660 12190 12826 13409 13915 14930 16423 24380 25652 26818 27830 29860 32065 32846 34339 53636 55660 64130 65692 67045 68678 79129 82115 128260 134090 137356 147499 158258 164230 171695 180653 268180 294998 316516 328460 343390 361306 377729 395645 589996 686780 722612 737495 755458 791290 870419 903265 1474990 1510916 1582580 1740838 1806530 1819967 1888645 2949980 3481676 3613060 3639934 3777290 4155019 4352095 7279868 7554580 8310038 8704190 9099835 9574609 16620076 17408380 18199670 19149218 20019637 20775095 36399340 38298436 40039274 41550190 47873045 80078548 83100380 95746090 100098185 191492180 200196370 220216007 400392740 440432014 880864028 1101080035 2202160070 4404320140