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345454412011424 = 251910310915056211
BaseRepresentation
bin100111010001100000101111…
…1100000111001011110100000
31200022011010012221100200001222
41032203001133200321132200
5330234411113433331144
63222415322131314212
7132523154240625632
oct11643013740713640
91608133187320058
10345454412011424
11a0088436669a31
12328b346774b968
1311a9b29921bb21
146144123110a52
1529e10de5482ee
hex13a305f8397a0

345454412011424 has 96 divisors (see below), whose sum is σ = 723522094364160. Its totient is φ = 161899035206400.

The previous prime is 345454412011417. The next prime is 345454412011433. The reversal of 345454412011424 is 424110214454543.

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 15 ways as a sum of consecutive naturals, for example, 65794679 + ... + 70850889.

It is an arithmetic number, because the mean of its divisors is an integer number (7536688482960).

Almost surely, 2345454412011424 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 345454412011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361761047182080).

345454412011424 is an abundant number, since it is smaller than the sum of its proper divisors (378067682352736).

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

345454412011424 is a wasteful number, since it uses less digits than its factorization.

345454412011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057434 (or 5057426 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 44.

Adding to 345454412011424 its reverse (424110214454543), we get a palindrome (769564626465967).

The spelling of 345454412011424 in words is "three hundred forty-five trillion, four hundred fifty-four billion, four hundred twelve million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 304 412 608 824 1091 1648 1957 2182 3296 3914 4364 7828 8728 15656 17456 20729 31312 34912 41458 62624 82916 112373 165832 224746 331664 449492 663328 898984 1797968 2135087 3595936 4270174 5056211 8540348 10112422 17080696 20224844 34161392 40449688 68322784 80899376 96068009 161798752 192136018 384272036 520789733 768544072 1041579466 1537088144 2083158932 3074176288 4166317864 5516326201 8332635728 9895004927 11032652402 16665271456 19790009854 22065304804 39580019708 44130609608 79160039416 88261219216 104810197819 158320078832 176522438432 209620395638 316640157664 419240791276 568181598703 838481582552 1136363197406 1676963165104 2272726394812 3353926330208 4545452789624 9090905579248 10795450375357 18181811158496 21590900750714 43181801501428 86363603002856 172727206005712 345454412011424