Search a number
-
+
350990991120 = 243571118993019
BaseRepresentation
bin1010001101110001011…
…00010111111100010000
31020112222011110202121210
411012320230113330100
521222312143203440
6425124255020120
734233612125130
oct5067054277420
91215864422553
10350990991120
1112594429a680
125803620a640
1327137ca30c3
1412db9316ac0
1591e4055a80
hex51b8b17f10

350990991120 has 160 divisors (see below), whose sum is σ = 1356557460480. Its totient is φ = 72933189120.

The previous prime is 350990991107. The next prime is 350990991149. The reversal of 350990991120 is 21199099053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 350990991120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9478030 + ... + 9514989.

It is an arithmetic number, because the mean of its divisors is an integer number (8478484128).

Almost surely, 2350990991120 is an apocalyptic number.

350990991120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350990991120 is an abundant number, since it is smaller than the sum of its proper divisors (1005566469360).

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

350990991120 is a wasteful number, since it uses less digits than its factorization.

350990991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18993053 (or 18993047 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 48.

The spelling of 350990991120 in words is "three hundred fifty billion, nine hundred ninety million, nine hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 18993019 37986038 56979057 75972076 94965095 113958114 132951133 151944152 189930190 208923209 227916228 265902266 284895285 303888304 379860380 398853399 417846418 455832456 531804532 569790570 626769627 664755665 759720760 797706798 835692836 911664912 1044616045 1063609064 1139581140 1253539254 1329511330 1462462463 1519441520 1595413596 1671385672 1994266995 2089232090 2127218128 2279162280 2507078508 2659022660 2924924926 3133848135 3190827192 3342771344 3988533990 4178464180 4387387389 4558324560 5014157016 5318045320 5849849852 6267696270 6381654384 7312312315 7977067980 8356928360 8774774778 10028314032 10636090640 11699699704 12535392540 14624624630 15954135960 16713856720 17549549556 21936936945 23399399408 25070785080 29249249260 31908271920 35099099112 43873873890 50141570160 58498498520 70198198224 87747747780 116996997040 175495495560 350990991120