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42334001004 = 223191673313359
BaseRepresentation
bin100111011011010011…
…011001011101101100
311001021022220001222010
4213123103121131230
51143200001013004
631240432321220
73026035033311
oct473323313554
9131238801863
1042334001004
1116a54492599
1282556a3210
133cb87a0849
14209856ad08
15117b872a89
hex9db4d976c

42334001004 has 96 divisors (see below), whose sum is σ = 104948121600. Its totient is φ = 13244489280.

The previous prime is 42334000991. The next prime is 42334001029. The reversal of 42334001004 is 40010043324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12601477 + ... + 12604835.

It is an arithmetic number, because the mean of its divisors is an integer number (1093209600).

Almost surely, 242334001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52474060800).

42334001004 is an abundant number, since it is smaller than the sum of its proper divisors (62614120596).

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

42334001004 is a wasteful number, since it uses less digits than its factorization.

42334001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42334001004 its reverse (40010043324), we get a palindrome (82344044328).

The spelling of 42334001004 in words is "forty-two billion, three hundred thirty-four million, one thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 167 228 331 334 501 662 668 993 1002 1324 1986 2004 3173 3359 3972 6289 6346 6718 9519 10077 12578 12692 13436 18867 19038 20154 25156 37734 38076 40308 55277 63821 75468 110554 127642 165831 191463 221108 255284 331662 382926 560953 663324 765852 1050263 1111829 1121906 1682859 2100526 2223658 2243812 3150789 3335487 3365718 4201052 4447316 6301578 6670974 6731436 10658107 12603156 13341948 21124751 21316214 31974321 42249502 42632428 63374253 63948642 84499004 126748506 127897284 185675443 253497012 371350886 557026329 742701772 1114052658 2228105316 3527833417 7055666834 10583500251 14111333668 21167000502 42334001004