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146053056000 = 29353760693
BaseRepresentation
bin1000100000000101110…
…0001100011000000000
3111221222200120222120110
42020001130030120000
54343104040243000
6151032411511320
713360221330615
oct2100134143000
9457880528513
10146053056000
1156a39162765
1224380a58540
1310a07946137
1470d74cc50c
153bec339850
hex220170c600

146053056000 has 160 divisors (see below), whose sum is σ = 485590536288. Its totient is φ = 38947430400.

The previous prime is 146053055999. The next prime is 146053056011. The reversal of 146053056000 is 650350641.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 188347 + ... + 572346.

Almost surely, 2146053056000 is an apocalyptic number.

146053056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146053056000 is an abundant number, since it is smaller than the sum of its proper divisors (339537480288).

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

146053056000 is an frugal number, since it uses more digits than its factorization.

146053056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760729 (or 760703 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 146053056000 in words is "one hundred forty-six billion, fifty-three million, fifty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 64000 96000 192000 760693 1521386 2282079 3042772 3803465 4564158 6085544 7606930 9128316 11410395 12171088 15213860 18256632 19017325 22820790 24342176 30427720 36513264 38034650 45641580 48684352 57051975 60855440 73026528 76069300 91283160 95086625 97368704 114103950 121710880 146053056 152138600 182566320 190173250 194737408 228207900 243421760 285259875 292106112 304277200 365132640 380346500 389474816 456415800 486843520 570519750 584212224 608554400 730265280 760693000 912831600 973687040 1141039500 1168424448 1217108800 1460530560 1521386000 1825663200 1947374080 2282079000 2434217600 2921061120 3042772000 3651326400 4564158000 4868435200 5842122240 6085544000 7302652800 9128316000 9736870400 12171088000 14605305600 18256632000 24342176000 29210611200 36513264000 48684352000 73026528000 146053056000