Search a number
-
+
14372310160920 = 23353711512812343
BaseRepresentation
bin1101000100100101000001…
…1100010001011000011000
31212212222110000011202101210
43101021100130101120120
53340433442400122140
650322314221543120
73012236146453545
oct321112034213030
955788400152353
1014372310160920
114641298445058
121741549714aa0
138033c29bc20a
143798a2d3bbcc
1519dccb8e9d80
hexd1250711618

14372310160920 has 128 divisors (see below), whose sum is σ = 44320741539840. Its totient is φ = 3725790681600.

The previous prime is 14372310160861. The next prime is 14372310160931. The reversal of 14372310160920 is 2906101327341.

It is a congruent number.

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, 3704269 + ... + 6516611.

It is an arithmetic number, because the mean of its divisors is an integer number (346255793280).

Almost surely, 214372310160920 is an apocalyptic number.

14372310160920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14372310160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160370769920).

14372310160920 is an abundant number, since it is smaller than the sum of its proper divisors (29948431378920).

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

14372310160920 is a wasteful number, since it uses less digits than its factorization.

14372310160920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813545 (or 2813541 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 14372310160920 in words is "fourteen trillion, three hundred seventy-two billion, three hundred ten million, one hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1151 1480 2220 2302 3453 4440 4604 5755 6906 9208 11510 13812 17265 23020 27624 34530 42587 46040 69060 85174 127761 138120 170348 212935 255522 340696 425870 511044 638805 851740 1022088 1277610 1703480 2555220 2812343 5110440 5624686 8437029 11249372 14061715 16874058 22498744 28123430 33748116 42185145 56246860 67496232 84370290 104056691 112493720 168740580 208113382 312170073 337481160 416226764 520283455 624340146 832453528 1040566910 1248680292 1560850365 2081133820 2497360584 3121700730 3237006793 4162267640 6243401460 6474013586 9711020379 12486802920 12948027172 16185033965 19422040758 25896054344 32370067930 38844081516 48555101895 64740135860 77688163032 97110203790 119769251341 129480271720 194220407580 239538502682 359307754023 388440815160 479077005364 598846256705 718615508046 958154010728 1197692513410 1437231016092 1796538770115 2395385026820 2874462032184 3593077540230 4790770053640 7186155080460 14372310160920