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30858709140 = 22325743375647
BaseRepresentation
bin11100101111010100…
…101000100010010100
32221122121002211212100
4130233110220202110
51001144312143030
622102025122100
72141464462020
oct345724504224
987577084770
1030858709140
11120a5a33a06
125b92629330
132baa26250c
1416ca4d7380
15c091eb360
hex72f528894

30858709140 has 144 divisors (see below), whose sum is σ = 107020472832. Its totient is φ = 7050544128.

The previous prime is 30858709129. The next prime is 30858709201. The reversal of 30858709140 is 4190785803.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5461797 + ... + 5467443.

It is an arithmetic number, because the mean of its divisors is an integer number (743197728).

Almost surely, 230858709140 is an apocalyptic number.

30858709140 is a gapful number since it is divisible by the number (30) 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 30858709140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53510236416).

30858709140 is an abundant number, since it is smaller than the sum of its proper divisors (76161763692).

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

30858709140 is a wasteful number, since it uses less digits than its factorization.

30858709140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 30858709140 in words is "thirty billion, eight hundred fifty-eight million, seven hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4337 5647 8674 11294 13011 16941 17348 21685 22588 26022 28235 30359 33882 39033 39529 43370 50823 52044 56470 60718 65055 67764 78066 79058 84705 86740 91077 101646 112940 118587 121436 130110 151795 156132 158116 169410 182154 195165 197645 203292 237174 254115 260220 273231 303590 338820 355761 364308 390330 395290 455385 474348 508230 546462 592935 607180 711522 780660 790580 910770 1016460 1092924 1185870 1366155 1423044 1778805 1821540 2371740 2732310 3557610 5464620 7115220 24491039 48982078 73473117 97964156 122455195 146946234 171437273 220419351 244910390 293892468 342874546 367365585 440838702 489820780 514311819 685749092 734731170 857186365 881677404 1028623638 1102096755 1469462340 1542935457 1714372730 2057247276 2204193510 2571559095 3085870914 3428745460 4408387020 5143118190 6171741828 7714677285 10286236380 15429354570 30858709140