Search a number
-
+
1941311016 = 2333193115259
BaseRepresentation
bin111001110110110…
…0000111000101000
312000021220211002000
41303231200320220
512433433423031
6520345011000
766051604611
oct16355407050
95007824060
101941311016
11906901777
12462183a60
1324c269058
14145b7cc08
15b566d3e6
hex73b60e28

1941311016 has 128 divisors (see below), whose sum is σ = 5859840000. Its totient is φ = 593231040.

The previous prime is 1941310999. The next prime is 1941311033. The reversal of 1941311016 is 6101131491.

It is an interprime number because it is at equal distance from previous prime (1941310999) and next prime (1941311033).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 119595 + ... + 134853.

It is an arithmetic number, because the mean of its divisors is an integer number (45780000).

Almost surely, 21941311016 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 1941311016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929920000).

1941311016 is an abundant number, since it is smaller than the sum of its proper divisors (3918528984).

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

1941311016 is a wasteful number, since it uses less digits than its factorization.

1941311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1941311016 is about 44060.3111200999. The cubic root of 1941311016 is about 1247.4745846713.

The spelling of 1941311016 in words is "one billion, nine hundred forty-one million, three hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15259 15903 21204 30518 31806 42408 45777 61036 63612 91554 122072 127224 137331 183108 274662 289921 366216 411993 473029 549324 579842 823986 869763 946058 1098648 1159684 1419087 1647972 1739526 1892116 2319368 2609289 2838174 3295944 3479052 3784232 4257261 5218578 5676348 6958104 7827867 8514522 8987551 10437156 11352696 12771783 15655734 17029044 17975102 20874312 25543566 26962653 31311468 34058088 35950204 51087132 53925306 62622936 71900408 80887959 102174264 107850612 161775918 215701224 242663877 323551836 485327754 647103672 970655508 1941311016