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420227135240 = 235113146636607
BaseRepresentation
bin1100001110101110111…
…11010011011100001000
31111011200100111022012212
412013113133103130020
523341111121311430
6521014421524252
742234422466533
oct6072737233410
91434610438185
10420227135240
111522432984a0
1269539273688
13308200b1313
14164a66d1a1a
15ade757db95
hex61d77d3708

420227135240 has 128 divisors (see below), whose sum is σ = 1065129246720. Its totient is φ = 147826425600.

The previous prime is 420227135231. The next prime is 420227135297. The reversal of 420227135240 is 42531722024.

It is a junction number, because it is equal to n+sod(n) for n = 420227135197 and 420227135206.

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, 63600017 + ... + 63606623.

It is an arithmetic number, because the mean of its divisors is an integer number (8321322240).

Almost surely, 2420227135240 is an apocalyptic number.

420227135240 is a gapful number since it is divisible by the number (40) 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 420227135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532564623360).

420227135240 is an abundant number, since it is smaller than the sum of its proper divisors (644902111480).

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

420227135240 is a wasteful number, since it uses less digits than its factorization.

420227135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 420227135240 its reverse (42531722024), we get a palindrome (462758857264).

The spelling of 420227135240 in words is "four hundred twenty billion, two hundred twenty-seven million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 4663 6607 6820 9326 13214 13640 18652 23315 26428 33035 37304 46630 51293 52856 66070 72677 93260 102586 132140 144553 145354 186520 204817 205172 256465 264280 289106 290708 363385 409634 410344 512930 578212 581416 722765 726770 819268 1024085 1025860 1156424 1445530 1453540 1590083 1638536 2048170 2051720 2252987 2891060 2907080 3180166 4096340 4505974 5782120 6360332 7950415 8192680 9011948 11264935 12720664 15900830 18023896 22529870 30808441 31801660 45059740 61616882 63603320 90119480 123233764 154042205 246467528 308084410 338892851 616168820 677785702 955061671 1232337640 1355571404 1694464255 1910123342 2711142808 3388928510 3820246684 4775308355 6777857020 7640493368 9550616710 10505678381 13555714040 19101233420 21011356762 38202466840 42022713524 52528391905 84045427048 105056783810 210113567620 420227135240