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3995044480 = 2757318199
BaseRepresentation
bin1110111000011111…
…1000101010000000
3101022102101021202101
43232013320222000
531140212410410
61500231400144
7201000214000
oct35607705200
911272337671
103995044480
11177010a059
12935b23054
134b88a7c5b
1429c824000
15185ae6d3a
hexee1f8a80

3995044480 has 128 divisors (see below), whose sum is σ = 11138400000. Its totient is φ = 1369654272.

The previous prime is 3995044463. The next prime is 3995044507. The reversal of 3995044480 is 844405993.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3995044480.

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, 210421 + ... + 228619.

It is an arithmetic number, because the mean of its divisors is an integer number (87018750).

Almost surely, 23995044480 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 3995044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200000).

3995044480 is an abundant number, since it is smaller than the sum of its proper divisors (7143355520).

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

3995044480 is an equidigital number, since it uses as much as digits as its factorization.

3995044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18239 (or 18213 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3995044480 is about 63206.3642365229. The cubic root of 3995044480 is about 1586.7452479343.

The spelling of 3995044480 in words is "three billion, nine hundred ninety-five million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 10976 13720 15680 18199 21952 27440 31360 36398 43904 54880 72796 90995 109760 127393 145592 181990 219520 254786 291184 363980 509572 582368 636965 727960 891751 1019144 1164736 1273930 1455920 1783502 2038288 2329472 2547860 2911840 3567004 4076576 4458755 5095720 5823680 6242257 7134008 8153152 8917510 10191440 11647360 12484514 14268016 16306304 17835020 20382880 24969028 28536032 31211285 35670040 40765760 49938056 57072064 62422570 71340080 81531520 99876112 114144128 124845140 142680160 199752224 249690280 285360320 399504448 499380560 570720640 799008896 998761120 1997522240 3995044480