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88440044440 = 235112274392017
BaseRepresentation
bin101001001011101101…
…1111111101110011000
322110021112112202101111
41102113123333232120
52422111122410230
6104343453030104
76250424655106
oct1222733775630
9273245482344
1088440044440
1134564110420
1215182485334
13845589a357
1443cda6cc76
15247943c92a
hex14976ffb98

88440044440 has 128 divisors (see below), whose sum is σ = 218641420800. Its totient is φ = 31929569280.

The previous prime is 88440044437. The next prime is 88440044471. The reversal of 88440044440 is 4444004488.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 88440044393 and 88440044402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43846312 + ... + 43848328.

It is an arithmetic number, because the mean of its divisors is an integer number (1708136100).

Almost surely, 288440044440 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 88440044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109320710400).

88440044440 is an abundant number, since it is smaller than the sum of its proper divisors (130201376360).

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

88440044440 is a wasteful number, since it uses less digits than its factorization.

88440044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 88440044440 in words is "eighty-eight billion, four hundred forty million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 439 440 454 878 908 1135 1756 1816 2017 2195 2270 2497 3512 4034 4390 4540 4829 4994 8068 8780 9080 9658 9988 10085 12485 16136 17560 19316 19976 20170 22187 24145 24970 38632 40340 44374 48290 49940 80680 88748 96580 99653 99880 110935 177496 193160 199306 221870 398612 443740 457859 498265 797224 885463 887480 915718 996530 1096183 1770926 1831436 1993060 2192366 2289295 3541852 3662872 3986120 4384732 4427315 4578590 5036449 5480915 7083704 8769464 8854630 9157180 9740093 10072898 10961830 17709260 18314360 19480186 20145796 21923660 25182245 35418520 38960372 40291592 43847320 48700465 50364490 77920744 97400930 100728980 194801860 201000101 201457960 389603720 402000202 804000404 1005000505 1608000808 2010001010 2211001111 4020002020 4422002222 8040004040 8844004444 11055005555 17688008888 22110011110 44220022220 88440044440