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141412098304 = 2819212372
BaseRepresentation
bin1000001110110011010…
…0010110000100000000
3111112000020210220110101
42003230310112010000
54304102444121204
6144544104012144
713134216000661
oct2035464260400
9445006726411
10141412098304
1154a77496534
12234a6761054
13104482b8419
146bb6dad368
153a29ba5ea4
hex20ecd16100

141412098304 has 81 divisors (see below), whose sum is σ = 298151160237. Its totient is φ = 66930527232.

The previous prime is 141412098299. The next prime is 141412098313. The reversal of 141412098304 is 403890214141.

The square root of 141412098304 is 376048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106798240000 + 34613858304 = 326800^2 + 186048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114317974 + ... + 114319210.

Almost surely, 2141412098304 is an apocalyptic number.

141412098304 is the 376048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141412098304

141412098304 is an abundant number, since it is smaller than the sum of its proper divisors (156739061933).

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

141412098304 is an frugal number, since it uses more digits than its factorization.

141412098304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 141412098304 in words is "one hundred forty-one billion, four hundred twelve million, ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1237 1444 2432 2474 2888 4864 4948 5776 9896 11552 19792 23104 23503 39584 46208 47006 79168 92416 94012 158336 188024 316672 376048 446557 752096 893114 1504192 1530169 1786228 3008384 3060338 3572456 6016768 6120676 7144912 12241352 14289824 24482704 28579648 29073211 48965408 57159296 58146422 97930816 114318592 116292844 195861632 232585688 391723264 465171376 552391009 930342752 1104782018 1860685504 2209564036 3721371008 4419128072 7442742016 8838256144 17676512288 35353024576 70706049152 141412098304