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424262533140 = 2232510123336773
BaseRepresentation
bin1100010110010000000…
…01001000000000010100
31111120002120210202110100
412023020001020000110
523422342202030030
6522523054254100
742436423013145
oct6131001100024
91446076722410
10424262533140
11153a24159686
126a2847b7330
1331014147924
141676a61bacc
15b081997360
hex62c8048014

424262533140 has 72 divisors (see below), whose sum is σ = 1299671617608. Its totient is φ = 112016505600.

The previous prime is 424262533111. The next prime is 424262533141. The reversal of 424262533140 is 41335262424.

424262533140 is a `hidden beast` number, since 4 + 24 + 2 + 62 + 533 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246458630916 + 177803902224 = 496446^2 + 421668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424262533095 and 424262533104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424262533141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11650207 + ... + 11686566.

It is an arithmetic number, because the mean of its divisors is an integer number (18050994689).

Almost surely, 2424262533140 is an apocalyptic number.

It is an amenable number.

424262533140 is an abundant number, since it is smaller than the sum of its proper divisors (875409084468).

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

424262533140 is a wasteful number, since it uses less digits than its factorization.

424262533140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23336889 (or 23336884 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 424262533140 its reverse (41335262424), we get a palindrome (465597795564).

The spelling of 424262533140 in words is "four hundred twenty-four billion, two hundred sixty-two million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 23336773 46673546 70010319 93347092 116683865 140020638 210030957 233367730 280041276 350051595 420061914 466735460 700103190 840123828 1050154785 1400206380 2100309570 2357014073 4200619140 4714028146 7071042219 9428056292 11785070365 14142084438 21213126657 23570140730 28284168876 35355211095 42426253314 47140281460 70710422190 84852506628 106065633285 141420844380 212131266570 424262533140