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32140221030 = 2325414723943
BaseRepresentation
bin11101111011101101…
…001101101001100110
310001221220111101200200
4131323231031221212
51011310344033110
622433124251330
72215315241211
oct357355155146
9101856441620
1032140221030
11126a3353845
12628b840b46
1330528c6288
1417ac7a4778
15c819886c0
hex77bb4da66

32140221030 has 144 divisors (see below), whose sum is σ = 87485003424. Its totient is φ = 8181699840.

The previous prime is 32140221019. The next prime is 32140221037. The reversal of 32140221030 is 3012204123.

32140221030 is a `hidden beast` number, since 3 + 21 + 402 + 210 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32140220994 and 32140221012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140221037) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8149239 + ... + 8153181.

It is an arithmetic number, because the mean of its divisors is an integer number (607534746).

Almost surely, 232140221030 is an apocalyptic number.

32140221030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32140221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742501712).

32140221030 is an abundant number, since it is smaller than the sum of its proper divisors (55344782394).

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

32140221030 is a wasteful number, since it uses less digits than its factorization.

32140221030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32140221030 its reverse (3012204123), we get a palindrome (35152425153).

The spelling of 32140221030 in words is "thirty-two billion, one hundred forty million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 47 82 90 94 123 141 205 235 246 282 369 410 423 470 615 705 738 846 1230 1410 1845 1927 2115 2209 3690 3854 3943 4230 4418 5781 6627 7886 9635 11045 11562 11829 13254 17343 19270 19715 19881 22090 23658 28905 33135 34686 35487 39430 39762 57810 59145 66270 70974 86715 90569 99405 118290 161663 173430 177435 181138 185321 198810 271707 323326 354870 370642 452845 484989 543414 555963 808315 815121 905690 926605 969978 1111926 1358535 1454967 1616630 1630242 1667889 1853210 2424945 2717070 2779815 2909934 3335778 4075605 4849890 5559630 7274835 7598161 8151210 8339445 8710087 14549670 15196322 16678890 17420174 22794483 26130261 37990805 43550435 45588966 52260522 68383449 75981610 78390783 87100870 113972415 130651305 136766898 156781566 227944830 261302610 341917245 357113567 391953915 683834490 714227134 783907830 1071340701 1785567835 2142681402 3214022103 3571135670 5356703505 6428044206 10713407010 16070110515 32140221030