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4000431042 = 23229671071069
BaseRepresentation
bin1110111001110001…
…1011101111000010
3101022210111221201200
43232130123233002
531143102243132
61500543042030
7201064050156
oct35634335702
911283457650
104000431042
111773159063
129378a0316
134b9a4297a
1429d427066
1518630cd7c
hexee71bbc2

4000431042 has 96 divisors (see below), whose sum is σ = 9193953600. Its totient is φ = 1255250304.

The previous prime is 4000431023. The next prime is 4000431047. The reversal of 4000431042 is 2401340004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4000431047) 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 47 ways as a sum of consecutive naturals, for example, 3741684 + ... + 3742752.

It is an arithmetic number, because the mean of its divisors is an integer number (95770350).

Almost surely, 24000431042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596976800).

4000431042 is an abundant number, since it is smaller than the sum of its proper divisors (5193522558).

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

4000431042 is a wasteful number, since it uses less digits than its factorization.

4000431042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000431042 is about 63248.9607977870. The cubic root of 4000431042 is about 1587.4580696305.

Adding to 4000431042 its reverse (2401340004), we get a palindrome (6401771046).

The spelling of 4000431042 in words is "four billion, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 67 87 107 134 174 201 214 261 321 402 522 603 642 963 1069 1206 1926 1943 2138 3103 3207 3886 5829 6206 6414 7169 9309 9621 11658 14338 17487 18618 19242 21507 27927 31001 34974 43014 55854 62002 64521 71623 93003 114383 129042 143246 186006 207901 214869 228766 279009 343149 415802 429738 558018 623703 644607 686298 1029447 1247406 1289214 1871109 2058894 2077067 3317107 3742218 4154134 6231201 6634214 7663661 9951321 12462402 15327322 18693603 19902642 22990983 29853963 37387206 45981966 59707926 68972949 137945898 222246169 444492338 666738507 1333477014 2000215521 4000431042