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305353534140 = 2232537431066253
BaseRepresentation
bin1000111000110000111…
…11010010101010111100
31002012011121112201222100
410130120133102222330
520000331001043030
6352135533545100
731026642133524
oct4343037225274
91065147481870
10305353534140
11108555122786
124b21a345190
1322a43cb01a5
1410aca150684
157e2269b360
hex47187d2abc

305353534140 has 144 divisors (see below), whose sum is σ = 973396071648. Its totient is φ = 77384305152.

The previous prime is 305353534139. The next prime is 305353534159. The reversal of 305353534140 is 41435353503.

305353534140 is a `hidden beast` number, since 3 + 0 + 53 + 535 + 34 + 1 + 40 = 666.

305353534140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 305353534095 and 305353534104.

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, 246747 + ... + 819506.

It is an arithmetic number, because the mean of its divisors is an integer number (6759694942).

Almost surely, 2305353534140 is an apocalyptic number.

305353534140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305353534140 is an abundant number, since it is smaller than the sum of its proper divisors (668042537508).

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

305353534140 is a wasteful number, since it uses less digits than its factorization.

305353534140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066348 (or 1066343 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 305353534140 its reverse (41435353503), we get a palindrome (346788887643).

The spelling of 305353534140 in words is "three hundred five billion, three hundred fifty-three million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 43 45 60 74 86 90 111 129 148 172 180 185 215 222 258 333 370 387 430 444 516 555 645 666 740 774 860 1110 1290 1332 1548 1591 1665 1935 2220 2580 3182 3330 3870 4773 6364 6660 7740 7955 9546 14319 15910 19092 23865 28638 31820 47730 57276 71595 95460 143190 286380 1066253 2132506 3198759 4265012 5331265 6397518 9596277 10662530 12795036 15993795 19192554 21325060 31987590 38385108 39451361 45848879 47981385 63975180 78902722 91697758 95962770 118354083 137546637 157805444 183395516 191925540 197256805 229244395 236708166 275093274 355062249 394513610 412639911 458488790 473416332 550186548 591770415 687733185 710124498 789027220 825279822 916977580 1183540830 1375466370 1420248996 1650559644 1696408523 1775311245 2063199555 2367081660 2750932740 3392817046 3550622490 4126399110 5089225569 6785634092 7101244980 8252798220 8482042615 10178451138 15267676707 16964085230 20356902276 25446127845 30535353414 33928170460 50892255690 61070706828 76338383535 101784511380 152676767070 305353534140