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2431150040 = 2351129190529
BaseRepresentation
bin1001000011101000…
…0110011111011000
320021102122012220002
42100322012133120
514434333300130
61041123552132
7114150301664
oct22072063730
96242565802
102431150040
111038359010
1257a22b648
132c98a4227
14190c4b8a4
15e367ab45
hex90e867d8

2431150040 has 64 divisors (see below), whose sum is σ = 6173172000. Its totient is φ = 853565440.

The previous prime is 2431150019. The next prime is 2431150049. The reversal of 2431150040 is 400511342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2431149994 and 2431150021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431150049) 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, 82505 + ... + 108024.

Almost surely, 22431150040 is an apocalyptic number.

2431150040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431150040 is an abundant number, since it is smaller than the sum of its proper divisors (3742021960).

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

2431150040 is a wasteful number, since it uses less digits than its factorization.

2431150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190580 (or 190576 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2431150040 is about 49306.6936632340. The cubic root of 2431150040 is about 1344.6334808349.

Adding to 2431150040 its reverse (400511342), we get a palindrome (2831661382).

The spelling of 2431150040 in words is "two billion, four hundred thirty-one million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 190529 381058 762116 952645 1524232 1905290 2095819 3810580 4191638 5525341 7621160 8383276 10479095 11050682 16766552 20958190 22101364 27626705 41916380 44202728 55253410 60778751 83832760 110506820 121557502 221013640 243115004 303893755 486230008 607787510 1215575020 2431150040