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150614323300 = 225272157195781
BaseRepresentation
bin1000110001000101010…
…0000011000001100100
3112101202120102101000101
42030101110003001210
54431424231321200
6153105151353444
713611235424200
oct2142124030144
9471676371011
10150614323300
115896994a361
1225234522884
131128392167c
14740b1c5b00
153db79cb26a
hex2311503064

150614323300 has 108 divisors (see below), whose sum is σ = 382617154164. Its totient is φ = 51310022400.

The previous prime is 150614323253. The next prime is 150614323303. The reversal of 150614323300 is 3323416051.

It can be written as a sum of positive squares in 6 ways, for example, as 17495881984 + 133118441316 = 132272^2 + 364854^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (150614323303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 671410 + ... + 867190.

Almost surely, 2150614323300 is an apocalyptic number.

150614323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150614323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191308577082).

150614323300 is an abundant number, since it is smaller than the sum of its proper divisors (232002830864).

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

150614323300 is a wasteful number, since it uses less digits than its factorization.

150614323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195966 (or 195952 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 150614323300 its reverse (3323416051), we get a palindrome (153937739351).

The spelling of 150614323300 in words is "one hundred fifty billion, six hundred fourteen million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 157 175 196 245 314 350 490 628 700 785 980 1099 1225 1570 2198 2450 3140 3925 4396 4900 5495 7693 7850 10990 15386 15700 21980 27475 30772 38465 54950 76930 109900 153860 192325 195781 384650 391562 769300 783124 978905 1370467 1957810 2740934 3915620 4894525 5481868 6852335 9593269 9789050 13704670 19186538 19578100 27409340 30737617 34261675 38373076 47966345 61475234 68523350 95932690 122950468 137046700 153688085 191865380 215163319 239831725 307376170 430326638 479663450 614752340 768440425 860653276 959326900 1075816595 1506143233 1536880850 2151633190 3012286466 3073761700 4303266380 5379082975 6024572932 7530716165 10758165950 15061432330 21516331900 30122864660 37653580825 75307161650 150614323300