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202411433420 = 22572614198081
BaseRepresentation
bin1011110010000010101…
…0010101110111001100
3201100110101211012021022
42330200222111313030
511304014311332140
6232553031253312
720423641540100
oct2744052256714
9640411735238
10202411433420
1178929a82889
123328b21a238
1316119aabc61
149b22479900
1553ea0080b5
hex2f20a95dcc

202411433420 has 144 divisors (see below), whose sum is σ = 503829940320. Its totient is φ = 68089190400.

The previous prime is 202411433417. The next prime is 202411433431. The reversal of 202411433420 is 24334114202.

202411433420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202411433420.

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 47 ways as a sum of consecutive naturals, for example, 25043780 + ... + 25051860.

It is an arithmetic number, because the mean of its divisors is an integer number (3498819030).

Almost surely, 2202411433420 is an apocalyptic number.

202411433420 is a gapful number since it is divisible by the number (20) 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 202411433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251914970160).

202411433420 is an abundant number, since it is smaller than the sum of its proper divisors (301418506900).

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

202411433420 is a wasteful number, since it uses less digits than its factorization.

202411433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 202411433420 its reverse (24334114202), we get a palindrome (226745547622).

The spelling of 202411433420 in words is "two hundred two billion, four hundred eleven million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 419 427 490 610 838 854 980 1220 1676 1708 2095 2135 2933 2989 4190 4270 5866 5978 8081 8380 8540 11732 11956 14665 14945 16162 20531 25559 29330 29890 32324 40405 41062 51118 56567 58660 59780 80810 82124 102236 102655 113134 127795 161620 178913 205310 226268 255590 282835 357826 395969 410620 492941 511180 565670 715652 791938 894565 985882 1131340 1252391 1583876 1789130 1971764 1979845 2464705 2504782 3385939 3450587 3578260 3959690 4929410 5009564 6261955 6771878 6901174 7919380 9858820 12523910 13543756 13802348 16929695 17252935 23701573 24154109 25047820 33859390 34505870 47403146 48308218 67718780 69011740 94806292 96616436 118507865 120770545 165911011 206542279 237015730 241541090 331822022 413084558 474031460 483082180 663644044 826169116 829555055 1032711395 1445795953 1659110110 2065422790 2891591906 3318220220 4130845580 5783183812 7228979765 10120571671 14457959530 20241143342 28915919060 40482286684 50602858355 101205716710 202411433420