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147144301056 = 293318715689
BaseRepresentation
bin1000100100001001111…
…0111101101000000000
3112001210201221222101000
42021002132331220000
54402322420113211
6151332553012000
713426241631234
oct2110236755000
9461721858330
10147144301056
1157449138285
12246263b4000
1310b4ca4cb7c
14719c3cc5c4
153c63041656
hex22427bda00

147144301056 has 160 divisors (see below), whose sum is σ = 435866745600. Its totient is φ = 49013268480.

The previous prime is 147144301021. The next prime is 147144301063. The reversal of 147144301056 is 650103441741.

147144301056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 147144301056.

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, 25861860 + ... + 25867548.

It is an arithmetic number, because the mean of its divisors is an integer number (2724167160).

Almost surely, 2147144301056 is an apocalyptic number.

147144301056 is a gapful number since it is divisible by the number (16) 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 147144301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217933372800).

147144301056 is an abundant number, since it is smaller than the sum of its proper divisors (288722444544).

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

147144301056 is an equidigital number, since it uses as much as digits as its factorization.

147144301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 147144301056 its reverse (650103441741), we get a palindrome (797247742797).

The spelling of 147144301056 in words is "one hundred forty-seven billion, one hundred forty-four million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 1871 2304 3456 3742 4608 5613 5689 6912 7484 11226 11378 13824 14968 16839 17067 22452 22756 29936 33678 34134 44904 45512 50517 51201 59872 67356 68268 89808 91024 101034 102402 119744 134712 136536 153603 179616 182048 202068 204804 239488 269424 273072 307206 359232 364096 404136 409608 478976 538848 546144 614412 718464 728192 808272 819216 957952 1077696 1092288 1228824 1436928 1456384 1616544 1638432 2155392 2184576 2457648 2873856 2912768 3233088 3276864 4310784 4369152 4915296 6466176 6553728 8621568 8738304 9830592 10644119 12932352 13107456 19661184 21288238 25864704 26214912 31932357 39322368 42576476 63864714 78644736 85152952 95797071 127729428 170305904 191594142 255458856 287391213 340611808 383188284 510917712 574782426 681223616 766376568 1021835424 1149564852 1362447232 1532753136 2043670848 2299129704 2724894464 3065506272 4087341696 4598259408 5449788928 6131012544 8174683392 9196518816 12262025088 16349366784 18393037632 24524050176 36786075264 49048100352 73572150528 147144301056