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427234417700 = 2252296713271657
BaseRepresentation
bin1100011011110010010…
…01111101110000100100
31111211202200221010122212
412031321021331300210
523444434002331300
6524134020142552
742603160426466
oct6157111756044
91454680833585
10427234417700
11155209766522
126a973b37a58
1331398a66bbc
141696d1c6136
15b1a7835935
hex637927dc24

427234417700 has 144 divisors (see below), whose sum is σ = 974703448320. Its totient is φ = 162317675520.

The previous prime is 427234417651. The next prime is 427234417733. The reversal of 427234417700 is 7714432724.

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, 257835272 + ... + 257836928.

Almost surely, 2427234417700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427234417700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487351724160).

427234417700 is an abundant number, since it is smaller than the sum of its proper divisors (547469030620).

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

427234417700 is a wasteful number, since it uses less digits than its factorization.

427234417700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 41.

The spelling of 427234417700 in words is "four hundred twenty-seven billion, two hundred thirty-four million, four hundred seventeen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 67 100 116 134 145 268 290 335 580 670 725 1327 1340 1450 1657 1675 1943 2654 2900 3314 3350 3886 5308 6628 6635 6700 7772 8285 9715 13270 16570 19430 26540 33140 33175 38483 38860 41425 48053 48575 66350 76966 82850 88909 96106 97150 111019 132700 153932 165700 177818 192212 192415 194300 222038 240265 355636 384830 444076 444545 480530 555095 769660 889090 961060 962075 1110190 1201325 1778180 1924150 2198839 2220380 2222725 2402650 2578361 2775475 3219551 3848300 4397678 4445450 4805300 5156722 5550950 6439102 8795356 8890900 10313444 10994195 11101900 12878204 12891805 16097755 21988390 25783610 32195510 43976780 51567220 54970975 63766331 64391020 64459025 80488775 109941950 127532662 128918050 147322213 160977550 219883900 255065324 257836100 294644426 318831655 321955100 589288852 637663310 736611065 1275326620 1473222130 1594158275 2946444260 3188316550 3683055325 4272344177 6376633100 7366110650 8544688354 14732221300 17089376708 21361720885 42723441770 85446883540 106808604425 213617208850 427234417700