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4130143440 = 2435103167077
BaseRepresentation
bin1111011000101100…
…1111110011010000
3101122211121000200120
43312023033303100
531424304042230
61521455150240
7204230432343
oct36613176320
911584530616
104130143440
11182a3a3995
12973215380
1350a88a577
142b275045a
151928d1310
hexf62cfcd0

4130143440 has 80 divisors (see below), whose sum is σ = 12927827328. Its totient is φ = 1090672128.

The previous prime is 4130143439. The next prime is 4130143447. The reversal of 4130143440 is 443410314.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4130143440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130143447) 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, 58819 + ... + 108258.

Almost surely, 24130143440 is an apocalyptic number.

4130143440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130143440 is an abundant number, since it is smaller than the sum of its proper divisors (8797683888).

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

4130143440 is a wasteful number, since it uses less digits than its factorization.

4130143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167196 (or 167190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4130143440 is about 64266.1920452737. The cubic root of 4130143440 is about 1604.4334643163.

Adding to 4130143440 its reverse (443410314), we get a palindrome (4573553754).

The spelling of 4130143440 in words is "four billion, one hundred thirty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 167077 334154 501231 668308 835385 1002462 1336616 1670770 2004924 2506155 2673232 3341540 4009848 5012310 6683080 8019696 10024620 13366160 17208931 20049240 34417862 40098480 51626793 68835724 86044655 103253586 137671448 172089310 206507172 258133965 275342896 344178620 413014344 516267930 688357240 826028688 1032535860 1376714480 2065071720 4130143440