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234511060011904 = 27137116127123083
BaseRepresentation
bin110101010100100101011100…
…011011011000101110000000
31010202100001000222121001022201
4311110211130123120232000
5221214212122330340104
62150432521012242544
7100252602453316264
oct6524453433305600
91122301028531281
10234511060011904
11687a4644760075
1222375993610454
13a0b13b4b21460
1441ca5783860a4
151c1a2868ec0a4
hexd5495c6d8b80

234511060011904 has 128 divisors (see below), whose sum is σ = 510249783214080. Its totient is φ = 106703941048320.

The previous prime is 234511060011829. The next prime is 234511060011913. The reversal of 234511060011904 is 409110060115432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905246747 + ... + 1905369829.

It is an arithmetic number, because the mean of its divisors is an integer number (3986326431360).

Almost surely, 2234511060011904 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 234511060011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255124891607040).

234511060011904 is an abundant number, since it is smaller than the sum of its proper divisors (275738723202176).

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

234511060011904 is a wasteful number, since it uses less digits than its factorization.

234511060011904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139308 (or 139296 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 234511060011904 in words is "two hundred thirty-four trillion, five hundred eleven billion, sixty million, eleven thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 284 416 568 832 923 1136 1664 1846 2272 3692 4544 7384 9088 14768 16127 29536 32254 59072 64508 118144 123083 129016 209651 246166 258032 419302 492332 516064 838604 984664 1032128 1145017 1600079 1677208 1969328 2064256 2290034 3200158 3354416 3938656 4580068 6400316 6708832 7877312 8738893 9160136 12800632 13417664 14885221 15754624 17477786 18320272 25601264 26835328 29770442 34955572 36640544 51202528 59540884 69911144 73281088 102405056 113605609 119081768 139822288 146562176 204810112 227211218 238163536 279644576 454422436 476327072 559289152 908844872 952654144 1118578304 1817689744 1905308288 1984959541 3635379488 3969919082 7270758976 7939838164 14541517952 15879676328 25804474033 31759352656 51608948066 63518705312 103217896132 127037410624 140932127411 206435792264 254074821248 281864254822 412871584528 563728509644 825743169056 1127457019288 1651486338112 1832117656343 2254914038576 3302972676224 3664235312686 4509828077152 7328470625372 9019656154304 14656941250744 18039312308608 29313882501488 58627765002976 117255530005952 234511060011904