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147064735140 = 2235137143912433
BaseRepresentation
bin1000100011110110111…
…1011100010110100100
3112001121012020121110020
42020331233130112210
54402142033011030
6151321031355140
713424254423521
oct2107557342644
9461535217406
10147064735140
1157408233224
1224603822ab0
1310b3941224b
1471919da148
153c5b076510
hex223dbdc5a4

147064735140 has 96 divisors (see below), whose sum is σ = 415108592640. Its totient is φ = 38900822016.

The previous prime is 147064735109. The next prime is 147064735159. The reversal of 147064735140 is 41537460741.

It is a junction number, because it is equal to n+sod(n) for n = 147064735092 and 147064735101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11822364 + ... + 11834796.

It is an arithmetic number, because the mean of its divisors is an integer number (4324047840).

Almost surely, 2147064735140 is an apocalyptic number.

147064735140 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 147064735140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207554296320).

147064735140 is an abundant number, since it is smaller than the sum of its proper divisors (268043857500).

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

147064735140 is a wasteful number, since it uses less digits than its factorization.

147064735140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14021 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 147064735140 in words is "one hundred forty-seven billion, sixty-four million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1439 1644 2055 2740 2878 4110 4317 5756 7195 8220 8634 12433 14390 17268 21585 24866 28780 37299 43170 49732 62165 74598 86340 124330 149196 186495 197143 248660 372990 394286 591429 745980 788572 985715 1182858 1703321 1971430 2365716 2957145 3406642 3942860 5109963 5914290 6813284 8516605 10219926 11828580 17033210 17891087 20439852 25549815 34066420 35782174 51099630 53673261 71564348 89455435 102199260 107346522 178910870 214693044 268366305 357821740 536732610 1073465220 2451078919 4902157838 7353236757 9804315676 12255394595 14706473514 24510789190 29412947028 36766183785 49021578380 73532367570 147064735140