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300153214000 = 24531011937699
BaseRepresentation
bin1000101111000101000…
…01101001010000110000
31001200202012020002211201
410113202201221100300
514404203210322000
6345515525020544
730454035136363
oct4274241512060
91050665202751
10300153214000
11106326734242
124a208854754
13223c57b4693
14107556260da
157c1ad7596a
hex45e2869430

300153214000 has 160 divisors (see below), whose sum is σ = 736849713600. Its totient is φ = 118241280000.

The previous prime is 300153213973. The next prime is 300153214003. The reversal of 300153214000 is 412351003.

It is not an unprimeable number, because it can be changed into a prime (300153214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38982151 + ... + 38989849.

It is an arithmetic number, because the mean of its divisors is an integer number (4605310710).

Almost surely, 2300153214000 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 300153214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368424856800).

300153214000 is an abundant number, since it is smaller than the sum of its proper divisors (436696499600).

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

300153214000 is a wasteful number, since it uses less digits than its factorization.

300153214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 300153214000 its reverse (412351003), we get a palindrome (300565565003).

The spelling of 300153214000 in words is "three hundred billion, one hundred fifty-three million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 193 200 202 250 386 400 404 500 505 772 808 965 1000 1010 1544 1616 1930 2000 2020 2525 3088 3860 4040 4825 5050 7699 7720 8080 9650 10100 12625 15398 15440 19300 19493 20200 24125 25250 30796 38495 38600 38986 40400 48250 50500 61592 76990 77200 77972 96500 97465 101000 123184 153980 155944 192475 193000 194930 202000 307960 311888 384950 386000 389860 487325 615920 769900 777599 779720 962375 974650 1485907 1539800 1555198 1559440 1924750 1949300 2436625 2971814 3079600 3110396 3849500 3887995 3898600 4873250 5943628 6220792 7429535 7699000 7775990 7797200 9746500 11887256 12441584 14859070 15398000 15551980 19439975 19493000 23774512 29718140 31103960 37147675 38879950 38986000 59436280 62207920 74295350 77759900 97199875 118872560 148590700 150076607 155519800 185738375 194399750 297181400 300153214 311039600 371476750 388799500 594362800 600306428 742953500 750383035 777599000 1200612856 1485907000 1500766070 1555198000 2401225712 2971814000 3001532140 3751915175 6003064280 7503830350 12006128560 15007660700 18759575875 30015321400 37519151750 60030642800 75038303500 150076607000 300153214000