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234470424074432 = 2671352617652413
BaseRepresentation
bin110101010011111111100110…
…010101100101100011000000
31010202012011010222220112121112
4311103333212111211203000
5221213030412030340212
62150402120435142452
7100246633454461340
oct6523774625454300
91122164128815545
10234470424074432
1168789391838877
1222369b32744a28
13a0aa60a09c940
1441c8601558d20
151c191a9199422
hexd53fe65658c0

234470424074432 has 112 divisors (see below), whose sum is σ = 572757843104832. Its totient is φ = 92739887124480.

The previous prime is 234470424074407. The next prime is 234470424074437.

234470424074432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2344704240744322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234470424074437) 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, 26813858 + ... + 34466270.

It is an arithmetic number, because the mean of its divisors is an integer number (5113909313436).

Almost surely, 2234470424074432 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 234470424074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286378921552416).

234470424074432 is an abundant number, since it is smaller than the sum of its proper divisors (338287419030400).

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

234470424074432 is a wasteful number, since it uses less digits than its factorization.

234470424074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657706 (or 7657696 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 50.

The spelling of 234470424074432 in words is "two hundred thirty-four trillion, four hundred seventy billion, four hundred twenty-four million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5261 5824 10522 21044 36827 42088 68393 73654 84176 136786 147308 168352 273572 294616 336704 478751 547144 589232 957502 1094288 1178464 1915004 2188576 2356928 3830008 4377152 7652413 7660016 15304826 15320032 30609652 30640064 53566891 61219304 99481369 107133782 122438608 198962738 214267564 244877216 397925476 428535128 489754432 696369583 795850952 857070256 1392739166 1591701904 1714140512 2785478332 3183403808 3428281024 5570956664 6366807616 11141913328 22283826656 40259344793 44567653312 80518689586 161037379172 281815413551 322074758344 523371482309 563630827102 644149516688 1046742964618 1127261654204 1288299033376 2093485929236 2254523308408 2576598066752 3663600376163 4186971858472 4509046616816 7327200752326 8373943716944 9018093233632 14654401504652 16747887433888 18036186467264 29308803009304 33495774867776 58617606018608 117235212037216 234470424074432