Search a number
-
+
353014143240 = 2335111161723021
BaseRepresentation
bin1010010001100010100…
…10000101100100001000
31020202012011101112120210
411020301102011210020
521240433110040430
6430101130121120
734335006464613
oct5106122054410
91222164345523
10353014143240
1112679230a820
12584bb8801a0
132739b195535
141312bcbb17a
1592b198d2b0
hex5231485908

353014143240 has 128 divisors (see below), whose sum is σ = 1155468654720. Its totient is φ = 85568102400.

The previous prime is 353014143187. The next prime is 353014143259. The reversal of 353014143240 is 42341410353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 353014143198 and 353014143207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15322930 + ... + 15345950.

It is an arithmetic number, because the mean of its divisors is an integer number (9027098865).

Almost surely, 2353014143240 is an apocalyptic number.

353014143240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353014143240 is an abundant number, since it is smaller than the sum of its proper divisors (802454511480).

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

353014143240 is a wasteful number, since it uses less digits than its factorization.

353014143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34663 (or 34659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 353014143240 its reverse (42341410353), we get a palindrome (395355553593).

The spelling of 353014143240 in words is "three hundred fifty-three billion, fourteen million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 11617 23021 23234 34851 46042 46468 58085 69063 69702 92084 92936 115105 116170 127787 138126 139404 174255 184168 230210 232340 253231 255574 276252 278808 345315 348510 383361 460420 464680 506462 511148 552504 638935 690630 697020 759693 766722 920840 1012924 1022296 1266155 1277870 1381260 1394040 1519386 1533444 1916805 2025848 2532310 2555740 2762520 3038772 3066888 3798465 3833610 5064620 5111480 6077544 7596930 7667220 10129240 15193860 15334440 30387720 267434957 534869914 802304871 1069739828 1337174785 1604609742 2139479656 2674349570 2941784527 3209219484 4011524355 5348699140 5883569054 6418438968 8023048710 8825353581 10697398280 11767138108 14708922635 16046097420 17650707162 23534276216 29417845270 32092194840 35301414324 44126767905 58835690540 70602828648 88253535810 117671381080 176507071620 353014143240