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147314255200 = 2552742116247
BaseRepresentation
bin1000100100110010011…
…1010010010101100000
3112002020120202112121221
42021030213102111200
54403144422131300
6151401503424424
713433404336330
oct2111447222540
9462216675557
10147314255200
1157526069352
12246732b5114
1310b79017358
1471b6bcd0c0
153c72e1331a
hex224c9d2560

147314255200 has 144 divisors (see below), whose sum is σ = 411170183424. Its totient is φ = 50487667200.

The previous prime is 147314255189. The next prime is 147314255201. The reversal of 147314255200 is 2552413741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147314255201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23578477 + ... + 23584723.

It is an arithmetic number, because the mean of its divisors is an integer number (2855348496).

Almost surely, 2147314255200 is an apocalyptic number.

147314255200 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 147314255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205585091712).

147314255200 is an abundant number, since it is smaller than the sum of its proper divisors (263855928224).

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

147314255200 is a wasteful number, since it uses less digits than its factorization.

147314255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 147314255200 its reverse (2552413741), we get a palindrome (149866668941).

The spelling of 147314255200 in words is "one hundred forty-seven billion, three hundred fourteen million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 4211 5600 6247 8422 12494 16844 21055 24988 29477 31235 33688 42110 43729 49976 58954 62470 67376 84220 87458 99952 105275 117908 124940 134752 147385 156175 168440 174916 199904 210550 218645 235816 249880 294770 312350 336880 349832 421100 437290 471632 499760 589540 624700 673760 699664 736925 842200 874580 943264 999520 1093225 1179080 1249400 1399328 1473850 1684400 1749160 2186450 2358160 2498800 2947700 3368800 3498320 4372900 4716320 4997600 5895400 6996640 8745800 11790800 17491600 23581600 26306117 34983200 52612234 105224468 131530585 184142819 210448936 263061170 368285638 420897872 526122340 657652925 736571276 841795744 920714095 1052244680 1315305850 1473142552 1841428190 2104489360 2630611700 2946285104 3682856380 4208978720 4603570475 5261223400 5892570208 7365712760 9207140950 10522446800 14731425520 18414281900 21044893600 29462851040 36828563800 73657127600 147314255200