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34401210010244 = 227111272017436027
BaseRepresentation
bin1111101001001101001111…
…11001110000101010000100
311111210201112110210201102022
413310212213321300222010
514002112134230311434
6201055410412102312
710150256024253110
oct764464771605204
9144721473721368
1034401210010244
11aa63520238690
123a37227764998
1316270354638bc
1486d055466740
153e9cc39e422e
hex1f49a7e70a84

34401210010244 has 96 divisors (see below), whose sum is σ = 75685865816064. Its totient is φ = 13290909649920.

The previous prime is 34401210010231. The next prime is 34401210010259. The reversal of 34401210010244 is 44201001210443.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78678959 + ... + 79114985.

It is an arithmetic number, because the mean of its divisors is an integer number (788394435584).

Almost surely, 234401210010244 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 34401210010244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37842932908032).

34401210010244 is an abundant number, since it is smaller than the sum of its proper divisors (41284655805820).

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

34401210010244 is a wasteful number, since it uses less digits than its factorization.

34401210010244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438193 (or 438191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34401210010244 its reverse (44201001210443), we get a palindrome (78602211220687).

The spelling of 34401210010244 in words is "thirty-four trillion, four hundred one billion, two hundred ten million, ten thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2017 2794 3556 4034 5588 8068 9779 14119 19558 22187 28238 39116 44374 56476 88748 155309 256159 310618 436027 512318 621236 872054 1024636 1744108 1793113 2817749 3052189 3586226 4796297 5635498 6104378 7172452 9592594 11270996 12208756 19185188 19724243 33574079 39448486 55375429 67148158 78896972 110750858 134296316 221501716 387628003 609129719 775256006 879466459 1218259438 1550512012 1758932918 2436518876 3517865836 4263908033 6156265213 8527816066 9674131049 12312530426 17055632132 19348262098 24625060852 38696524196 67718917343 111692240293 135437834686 223384480586 270875669372 446768961172 781845682051 1228614643223 1563691364102 2457229286446 3127382728204 4914458572892 8600302502561 17200605005122 34401210010244