Search a number
-
+
30214142300 = 22524171271383
BaseRepresentation
bin11100001000111001…
…110011100101011100
32212222200020110101102
4130020321303211130
5443334310023200
621514041532232
72116506654266
oct341071634534
985880213342
1030214142300
11118a5106341
125a327a4078
132b06861514
141668a6cb36
15bbc8286d5
hex708e7395c

30214142300 has 144 divisors (see below), whose sum is σ = 68539613184. Its totient is φ = 11551680000.

The previous prime is 30214142237. The next prime is 30214142359. The reversal of 30214142300 is 324141203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78887909 + ... + 78888291.

It is an arithmetic number, because the mean of its divisors is an integer number (475969536).

Almost surely, 230214142300 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 30214142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269806592).

30214142300 is an abundant number, since it is smaller than the sum of its proper divisors (38325470884).

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

30214142300 is a wasteful number, since it uses less digits than its factorization.

30214142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30214142300 its reverse (324141203), we get a palindrome (30538283503).

The spelling of 30214142300 in words is "thirty billion, two hundred fourteen million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 271 284 355 383 410 542 710 766 820 1025 1084 1355 1420 1532 1775 1915 2050 2710 2911 3550 3830 4100 5420 5822 6775 7100 7660 9575 11111 11644 13550 14555 15703 19150 19241 22222 27100 27193 29110 31406 38300 38482 44444 54386 55555 58220 62812 72775 76964 78515 96205 103793 108772 111110 135965 145550 157030 192410 207586 222220 271930 277775 291100 314060 384820 392575 415172 481025 518965 543860 555550 679825 785150 788881 962050 1037930 1111100 1114913 1359650 1570300 1577762 1924100 2075860 2229826 2594825 2719300 3155524 3944405 4255513 4459652 5189650 5574565 7369303 7888810 8511026 10379300 11149130 14738606 15777620 17022052 19722025 21277565 22298260 27872825 29477212 36846515 39444050 42555130 55745650 73693030 78888100 85110260 106387825 111491300 147386060 184232575 212775650 302141423 368465150 425551300 604282846 736930300 1208565692 1510707115 3021414230 6042828460 7553535575 15107071150 30214142300