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4172136040 = 2352915123819
BaseRepresentation
bin1111100010101101…
…1011111001101000
3101202202121110201001
43320223123321220
532021031323130
61525555204344
7205250366632
oct37053337150
911682543631
104172136040
111851075616
129852a66b4
135164a1067
142b8161a52
151964286ca
hexf8adbe68

4172136040 has 64 divisors (see below), whose sum is σ = 9775728000. Its totient is φ = 1600569600.

The previous prime is 4172136019. The next prime is 4172136041. The reversal of 4172136040 is 406312714.

It is not an unprimeable number, because it can be changed into a prime (4172136041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163251 + ... + 187069.

It is an arithmetic number, because the mean of its divisors is an integer number (152745750).

Almost surely, 24172136040 is an apocalyptic number.

4172136040 is a gapful number since it is divisible by the number (40) 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 4172136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887864000).

4172136040 is an abundant number, since it is smaller than the sum of its proper divisors (5603591960).

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

4172136040 is a wasteful number, since it uses less digits than its factorization.

4172136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24010 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4172136040 is about 64592.0741267843. The cubic root of 4172136040 is about 1609.8527494150.

Adding to 4172136040 its reverse (406312714), we get a palindrome (4578448754).

The spelling of 4172136040 in words is "four billion, one hundred seventy-two million, one hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 290 302 580 604 755 1160 1208 1510 3020 4379 6040 8758 17516 21895 23819 35032 43790 47638 87580 95276 119095 175160 190552 238190 476380 690751 952760 1381502 2763004 3453755 3596669 5526008 6907510 7193338 13815020 14386676 17983345 27630040 28773352 35966690 71933380 104303401 143866760 208606802 417213604 521517005 834427208 1043034010 2086068020 4172136040