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350533420140 = 223537163968699
BaseRepresentation
bin1010001100111010110…
…10111000010001101100
31020111210021110202020110
411012131122320101230
521220343023421030
6425011031420020
734216354624011
oct5063532702154
91214707422213
10350533420140
11125729a82842
1257b28b24610
1327094255347
1412d74647708
1591b8cbe1b0
hex519d6b846c

350533420140 has 96 divisors (see below), whose sum is σ = 1014205651200. Its totient is φ = 90391147776.

The previous prime is 350533420117. The next prime is 350533420147. The reversal of 350533420140 is 41024335053.

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 = 350533420098 and 350533420107.

It is not an unprimeable number, because it can be changed into a prime (350533420147) by changing a digit.

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, 122490 + ... + 846209.

It is an arithmetic number, because the mean of its divisors is an integer number (10564642200).

Almost surely, 2350533420140 is an apocalyptic number.

350533420140 is a gapful number since it is divisible by the number (30) 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 350533420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507102825600).

350533420140 is an abundant number, since it is smaller than the sum of its proper divisors (663672231060).

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

350533420140 is a wasteful number, since it uses less digits than its factorization.

350533420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968911 (or 968909 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 350533420140 its reverse (41024335053), we get a palindrome (391557755193).

The spelling of 350533420140 in words is "three hundred fifty billion, five hundred thirty-three million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 163 185 222 326 370 444 489 555 652 740 815 978 1110 1630 1956 2220 2445 3260 4890 6031 9780 12062 18093 24124 30155 36186 60310 72372 90465 120620 180930 361860 968699 1937398 2906097 3874796 4843495 5812194 9686990 11624388 14530485 19373980 29060970 35841863 58121940 71683726 107525589 143367452 157897937 179209315 215051178 315795874 358418630 430102356 473693811 537627945 631591748 716837260 789489685 947387622 1075255890 1578979370 1894775244 2150511780 2368469055 3157958740 4736938110 5842223669 9473876220 11684447338 17526671007 23368894676 29211118345 35053342014 58422236690 70106684028 87633355035 116844473380 175266710070 350533420140