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3994143840 = 253258593229
BaseRepresentation
bin1110111000010001…
…1100110001100000
3101022100200112022100
43232010130301200
531140000100330
61500200210400
7200656443141
oct35604346140
911270615270
103994143840
11176a654425
12935769a00
134b865102b
1429c66bac8
151859ba060
hexee11cc60

3994143840 has 144 divisors (see below), whose sum is σ = 13650109200. Its totient is φ = 1063535616.

The previous prime is 3994143817. The next prime is 3994143841. The reversal of 3994143840 is 483414993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994143841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235346 + ... + 1238574.

It is an arithmetic number, because the mean of its divisors is an integer number (94792425).

Almost surely, 23994143840 is an apocalyptic number.

3994143840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3994143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825054600).

3994143840 is an abundant number, since it is smaller than the sum of its proper divisors (9655965360).

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

3994143840 is a wasteful number, since it uses less digits than its factorization.

3994143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3994143840 is about 63199.2392359275. The cubic root of 3994143840 is about 1586.6260007310.

The spelling of 3994143840 in words is "three billion, nine hundred ninety-four million, one hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 859 1440 1718 2577 3229 3436 4295 5154 6458 6872 7731 8590 9687 10308 12885 12916 13744 15462 16145 17180 19374 20616 25770 25832 27488 29061 30924 32290 34360 38655 38748 41232 48435 51540 51664 58122 61848 64580 68720 77310 77496 82464 96870 103080 103328 116244 123696 129160 137440 145305 154620 154992 193740 206160 232488 247392 258320 290610 309240 309984 387480 412320 464976 516640 581220 618480 774960 929952 1162440 1236960 1549920 2324880 2773711 4649760 5547422 8321133 11094844 13868555 16642266 22189688 24963399 27737110 33284532 41605665 44379376 49926798 55474220 66569064 83211330 88758752 99853596 110948440 124816995 133138128 166422660 199707192 221896880 249633990 266276256 332845320 399414384 443793760 499267980 665690640 798828768 998535960 1331381280 1997071920 3994143840