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235013141024 = 2553148793187
BaseRepresentation
bin1101101011011111011…
…1111111001000100000
3211110121110200112112022
43122313313333020200
512322301331003044
6255544043121012
722656562511234
oct3326767771040
9743543615468
10235013141024
1190739878292
1239669513168
13192141942bc
14b53624c5c4
1561a724d3ee
hex36b7dff220

235013141024 has 48 divisors (see below), whose sum is σ = 471734057088. Its totient is φ = 115210697472.

The previous prime is 235013140991. The next prime is 235013141029. The reversal of 235013141024 is 420141310532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 235013140984 and 235013141002.

It is not an unprimeable number, because it can be changed into a prime (235013141029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475359 + ... + 2568545.

It is an arithmetic number, because the mean of its divisors is an integer number (9827792856).

Almost surely, 2235013141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235013141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235867028544).

235013141024 is an abundant number, since it is smaller than the sum of its proper divisors (236720916064).

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

235013141024 is a wasteful number, since it uses less digits than its factorization.

235013141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94737 (or 94729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 235013141024 its reverse (420141310532), we get a palindrome (655154451556).

The spelling of 235013141024 in words is "two hundred thirty-five billion, thirteen million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1487 1696 2974 5948 11896 23792 47584 78811 93187 157622 186374 315244 372748 630488 745496 1260976 1490992 2521952 2981984 4938911 9877822 19755644 39511288 79022576 138569069 158045152 277138138 554276276 1108552552 2217105104 4434210208 7344160657 14688321314 29376642628 58753285256 117506570512 235013141024