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245311453123000 = 235311159011402493
BaseRepresentation
bin110111110001110000000110…
…000001011101000110111000
31012011120112201221200011011221
4313301300012001131012320
5224123140323444414000
62225422305323401424
7102446111331116245
oct6761600601350670
91164515657604157
10245311453123000
1171189004038a90
122361b005383274
13a6b5a034c5154
1444811cdb2a5cc
151d561a93d461a
hexdf1c0605d1b8

245311453123000 has 128 divisors (see below), whose sum is σ = 626253065231040. Its totient is φ = 89198491200000.

The previous prime is 245311453122961. The next prime is 245311453123019. The reversal of 245311453123000 is 321354113542.

It is a congruent number.

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, 174209754 + ... + 175612246.

Almost surely, 2245311453123000 is an apocalyptic number.

245311453123000 is a gapful number since it is divisible by the number (20) 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 245311453123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313126532615520).

245311453123000 is an abundant number, since it is smaller than the sum of its proper divisors (380941612108040).

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

245311453123000 is a wasteful number, since it uses less digits than its factorization.

245311453123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418426 (or 1418412 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 245311453123000 in words is "two hundred forty-five trillion, three hundred eleven billion, four hundred fifty-three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 15901 31802 63604 79505 127208 159010 174911 318020 349822 397525 636040 699644 795050 874555 1399288 1402493 1590100 1749110 1987625 2804986 3180200 3498220 3975250 4372775 5609972 6996440 7012465 7950500 8745550 11219944 14024930 15427423 15901000 17491100 21863875 28049860 30854846 34982200 35062325 43727750 56099720 61709692 70124650 77137115 87455500 123419384 140249300 154274230 174911000 175311625 280498600 308548460 350623250 385685575 617096920 701246500 771371150 1402493000 1542742300 1928427875 3085484600 3856855750 7713711500 15427423000 22301041193 44602082386 89204164772 111505205965 178408329544 223010411930 245311453123 446020823860 490622906246 557526029825 892041647720 981245812492 1115052059650 1226557265615 1962491624984 2230104119300 2453114531230 2787630149125 4460208238600 4906229062460 5575260298250 6132786328075 9812458124920 11150520596500 12265572656150 22301041193000 24531145312300 30663931640375 49062290624600 61327863280750 122655726561500 245311453123000