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34201221144 = 23313191111941
BaseRepresentation
bin11111110110100011…
…010011100000011000
310021021112122001100020
4133312203103200120
51030021003034034
623413430510440
72320352403666
oct376643234030
9107245561306
1034201221144
1113560774722
126765b05420
1332c08aa87c
1419263bbc36
15d5289a249
hex7f68d3818

34201221144 has 64 divisors (see below), whose sum is σ = 86257543680. Its totient is φ = 11300016000.

The previous prime is 34201221143. The next prime is 34201221193. The reversal of 34201221144 is 44112210243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201221143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858214 + ... + 2870154.

It is an arithmetic number, because the mean of its divisors is an integer number (1347774120).

Almost surely, 234201221144 is an apocalyptic number.

It is an amenable number.

34201221144 is an abundant number, since it is smaller than the sum of its proper divisors (52056322536).

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

34201221144 is a wasteful number, since it uses less digits than its factorization.

34201221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34201221144 its reverse (44112210243), we get a palindrome (78313431387).

The spelling of 34201221144 in words is "thirty-four billion, two hundred one million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 911 1048 1572 1822 2733 3144 3644 5466 7288 10932 11941 21864 23882 35823 47764 71646 95528 119341 143292 238682 286584 358023 477364 716046 954728 1432092 1564271 2864184 3128542 4692813 6257084 9385626 10878251 12514168 18771252 21756502 32634753 37542504 43513004 65269506 87026008 130539012 261078024 1425050881 2850101762 4275152643 5700203524 8550305286 11400407048 17100610572 34201221144