Search a number
-
+
4330013200032 = 253134877124357
BaseRepresentation
bin111111000000101000111…
…001100000111010100000
3120022221112001202021002110
4333000220321200322200
51031420331334400112
613113103002115320
7624555522632412
oct77005071407240
916287461667073
104330013200032
11141a391628313
1259b2287abb40
1325541a9616b0
1410d8065649b2
15779784ee13c
hex3f028e60ea0

4330013200032 has 96 divisors (see below), whose sum is σ = 12265750691712. Its totient is φ = 1329575814144.

The previous prime is 4330013200031. The next prime is 4330013200043. The reversal of 4330013200032 is 2300023100334.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4330013199981 and 4330013200008.

It is not an unprimeable number, because it can be changed into a prime (4330013200031) 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, 2954403 + ... + 4169954.

It is an arithmetic number, because the mean of its divisors is an integer number (127768236372).

Almost surely, 24330013200032 is an apocalyptic number.

It is an amenable number.

4330013200032 is an abundant number, since it is smaller than the sum of its proper divisors (7935737491680).

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

4330013200032 is a wasteful number, since it uses less digits than its factorization.

4330013200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124870 (or 7124862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 4330013200032 its reverse (2300023100334), we get a palindrome (6630036300366).

The spelling of 4330013200032 in words is "four trillion, three hundred thirty billion, thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 487 624 974 1248 1461 1948 2922 3896 5844 6331 7792 11688 12662 15584 18993 23376 25324 37986 46752 50648 75972 101296 151944 202592 303888 607776 7124357 14248714 21373071 28497428 42746142 56994856 85492284 92616641 113989712 170984568 185233282 227979424 277849923 341969136 370466564 555699846 683938272 740933128 1111399692 1481866256 2222799384 2963732512 3469561859 4445598768 6939123718 8891197536 10408685577 13878247436 20817371154 27756494872 41634742308 45104304167 55512989744 83269484616 90208608334 111025979488 135312912501 166538969232 180417216668 270625825002 333077938464 360834433336 541251650004 721668866672 1082503300008 1443337733344 2165006600016 4330013200032