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3997241040 = 2435131281167
BaseRepresentation
bin1110111001000001…
…0000111011010000
3101022120111212212110
43232100100323100
531141243203130
61500350425320
7201024662652
oct35620207320
911276455773
103997241040
11177137a3a1
12936802240
134b91969b0
1429cc366d2
15185dccab0
hexee410ed0

3997241040 has 80 divisors (see below), whose sum is σ = 13344645888. Its totient is φ = 983935488.

The previous prime is 3997240993. The next prime is 3997241041. The reversal of 3997241040 is 401427993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3997241040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997241041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637464 + ... + 643703.

Almost surely, 23997241040 is an apocalyptic number.

3997241040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3997241040 is an abundant number, since it is smaller than the sum of its proper divisors (9347404848).

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

3997241040 is a wasteful number, since it uses less digits than its factorization.

3997241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281196 (or 1281190 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3997241040 is about 63223.7379470717. The cubic root of 3997241040 is about 1587.0360033586.

The spelling of 3997241040 in words is "three billion, nine hundred ninety-seven million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1281167 2562334 3843501 5124668 6405835 7687002 10249336 12811670 15374004 16655171 19217505 20498672 25623340 30748008 33310342 38435010 49965513 51246680 61496016 66620684 76870020 83275855 99931026 102493360 133241368 153740040 166551710 199862052 249827565 266482736 307480080 333103420 399724104 499655130 666206840 799448208 999310260 1332413680 1998620520 3997241040