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235434201444 = 2232132321872371
BaseRepresentation
bin1101101101000011111…
…0001101000101100100
3211111200210222121211200
43123100332031011210
512324132123421234
6300053524002500
723003164456521
oct3332076150544
9744623877750
10235434201444
1190935518202
1239766530430
131928049a890
14b576136148
1561ce1c1d99
hex36d0f8d164

235434201444 has 72 divisors (see below), whose sum is σ = 668769646272. Its totient is φ = 69291668160.

The previous prime is 235434201439. The next prime is 235434201451. The reversal of 235434201444 is 444102434532.

235434201444 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 3 + 4 + 201 + 444 = 666.

235434201444 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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 = 235434201399 and 235434201408.

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 23 ways as a sum of consecutive naturals, for example, 10925422 + ... + 10946949.

Almost surely, 2235434201444 is an apocalyptic number.

It is an amenable number.

235434201444 is an abundant number, since it is smaller than the sum of its proper divisors (433335444828).

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

235434201444 is a wasteful number, since it uses less digits than its factorization.

235434201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872417 (or 21872412 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 235434201444 its reverse (444102434532), we get a palindrome (679536635976).

The spelling of 235434201444 in words is "two hundred thirty-five billion, four hundred thirty-four million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 21872371 43744742 65617113 87489484 131234226 196851339 262468452 284340823 393702678 503064533 568681646 787405356 853022469 1006129066 1137363292 1509193599 1706044938 2012258132 2559067407 3018387198 3412089876 4527580797 5118134814 6036774396 6539838929 9055161594 10236269628 13079677858 18110323188 19619516787 26159355716 39239033574 58858550361 78478067148 117717100722 235434201444