Search a number
-
+
331008714192 = 243133347158489
BaseRepresentation
bin1001101000100011010…
…10000010010111010000
31011122101120021220212010
410310101222002113100
520410401212323232
6412021401302520
732625463435032
oct4642152022720
91148346256763
10331008714192
1111841a876222
125419a194a40
13252a21923c0
1412041525c52
158924b3b0cc
hex4d11a825d0

331008714192 has 80 divisors (see below), whose sum is σ = 921164166720. Its totient is φ = 101817762816.

The previous prime is 331008714191. The next prime is 331008714199. The reversal of 331008714192 is 291417800133.

It is a super-3 number, since 3×3310087141923 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 331008714192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331008714191) 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, 2009284 + ... + 2167772.

It is an arithmetic number, because the mean of its divisors is an integer number (11514552084).

Almost surely, 2331008714192 is an apocalyptic number.

It is an amenable number.

331008714192 is an abundant number, since it is smaller than the sum of its proper divisors (590155452528).

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

331008714192 is a wasteful number, since it uses less digits than its factorization.

331008714192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161860 (or 161854 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 331008714192 in words is "three hundred thirty-one billion, eight million, seven hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3347 6694 10041 13388 20082 26776 40164 43511 53552 80328 87022 130533 158489 160656 174044 261066 316978 348088 475467 522132 633956 696176 950934 1044264 1267912 1901868 2060357 2088528 2535824 3803736 4120714 6181071 7607472 8241428 12362142 16482856 24724284 32965712 49448568 98897136 530462683 1060925366 1591388049 2121850732 3182776098 4243701464 6365552196 6896014879 8487402928 12731104392 13792029758 20688044637 25462208784 27584059516 41376089274 55168119032 82752178548 110336238064 165504357096 331008714192