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146401551712 = 251317318111239
BaseRepresentation
bin1000100001011000110…
…1100110010101100000
3111222212222100101211001
42020112031212111200
54344312244123322
6151131141201344
713401652441243
oct2102615462540
9458788311731
10146401551712
11570a794a749
1224459700254
1310a61bc3710
14712b8c725a
153c1cc27827
hex2216366560

146401551712 has 96 divisors (see below), whose sum is σ = 313946418240. Its totient is φ = 66802268160.

The previous prime is 146401551697. The next prime is 146401551733. The reversal of 146401551712 is 217155104641.

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, 13020589 + ... + 13031827.

It is an arithmetic number, because the mean of its divisors is an integer number (3270275190).

Almost surely, 2146401551712 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 146401551712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156973209120).

146401551712 is an abundant number, since it is smaller than the sum of its proper divisors (167544866528).

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

146401551712 is a wasteful number, since it uses less digits than its factorization.

146401551712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 146401551712 in words is "one hundred forty-six billion, four hundred one million, five hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 181 208 346 362 416 692 724 1384 1448 2249 2353 2768 2896 4498 4706 5536 5792 8996 9412 11239 17992 18824 22478 31313 35984 37648 44956 62626 71968 75296 89912 125252 146107 179824 250504 292214 359648 407069 501008 584428 814138 1002016 1168856 1628276 1944347 2034259 2337712 3256552 3888694 4068518 4675424 6513104 7777388 8137036 13026208 15554776 16274072 25276511 26445367 31109552 32548144 50553022 52890734 62219104 65096288 101106044 105781468 202212088 211562936 351926807 404424176 423125872 703853614 808848352 846251744 1407707228 2815414456 4575048491 5630828912 9150096982 11261657824 18300193964 36600387928 73200775856 146401551712