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147145037000 = 23531329533833
BaseRepresentation
bin1000100100001010000…
…1110001010011001000
3112001210210100100220012
42021002201301103020
54402323112141000
6151333020451052
713426251114653
oct2110241612310
9461723310805
10147145037000
11574495a01a5
12246266a9a88
1310b4cc49b40
14719c54089a
153c63139735
hex22428714c8

147145037000 has 128 divisors (see below), whose sum is σ = 371027835360. Its totient is φ = 54297907200.

The previous prime is 147145036999. The next prime is 147145037003. The reversal of 147145037000 is 730541741.

It can be written as a sum of positive squares in 16 ways, for example, as 21124296964 + 126020740036 = 145342^2 + 354994^2 .

It is not an unprimeable number, because it can be changed into a prime (147145037003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38387084 + ... + 38390916.

Almost surely, 2147145037000 is an apocalyptic number.

147145037000 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 147145037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185513917680).

147145037000 is an abundant number, since it is smaller than the sum of its proper divisors (223882798360).

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

147145037000 is a wasteful number, since it uses less digits than its factorization.

147145037000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 147145037000 its reverse (730541741), we get a palindrome (147875578741).

The spelling of 147145037000 in words is "one hundred forty-seven billion, one hundred forty-five million, thirty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 2953 3250 3833 5906 6500 7666 11812 13000 14765 15332 19165 23624 29530 30664 38330 38389 49829 59060 73825 76660 76778 95825 99658 118120 147650 153320 153556 191650 191945 199316 249145 295300 307112 369125 383300 383890 398632 479125 498290 590600 738250 766600 767780 958250 959725 996580 1245725 1476500 1535560 1916500 1919450 1993160 2491450 2953000 3833000 3838900 4798625 4982900 6228625 7677800 9597250 9965800 11318849 12457250 19194500 22637698 24914500 38389000 45275396 49829000 56594245 90550792 113188490 147145037 226376980 282971225 294290074 452753960 565942450 588580148 735725185 1131884900 1177160296 1414856125 1471450370 2263769800 2829712250 2942900740 3678625925 5659424500 5885801480 7357251850 11318849000 14714503700 18393129625 29429007400 36786259250 73572518500 147145037000