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245140511053000 = 235315710191532291
BaseRepresentation
bin110111101111010000111001…
…000101001101010011001000
31012010222012111201000020222011
4313233100321011031103020
5224112340231312144000
62225211555053505304
7102430550250363313
oct6757207105152310
91163865451006864
10245140511053000
1171122563764772
12235b1a591a2234
13a6a28603348c4
144476c14d0597a
151d51a01eec2ba
hexdef43914d4c8

245140511053000 has 128 divisors (see below), whose sum is σ = 577849378204800. Its totient is φ = 97335964128000.

The previous prime is 245140511052989. The next prime is 245140511053021. The reversal of 245140511053000 is 350115041542.

245140511053000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 159216855 + ... + 160749145.

It is an arithmetic number, because the mean of its divisors is an integer number (4514448267225).

Almost surely, 2245140511053000 is an apocalyptic number.

245140511053000 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 245140511053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288924689102400).

245140511053000 is an abundant number, since it is smaller than the sum of its proper divisors (332708867151800).

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

245140511053000 is a wasteful number, since it uses less digits than its factorization.

245140511053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533488 (or 1533474 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 245140511053000 its reverse (350115041542), we get a palindrome (245490626094542).

The spelling of 245140511053000 in words is "two hundred forty-five trillion, one hundred forty billion, five hundred eleven million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1019 1256 1570 2038 3140 3925 4076 5095 6280 7850 8152 10190 15700 19625 20380 25475 31400 39250 40760 50950 78500 101900 127375 157000 159983 203800 254750 319966 509500 639932 799915 1019000 1279864 1532291 1599830 3064582 3199660 3999575 6129164 6399320 7661455 7999150 12258328 15322910 15998300 19997875 30645820 31996600 38307275 39995750 61291640 76614550 79991500 153229100 159983000 191536375 240569687 306458200 383072750 481139374 766145500 962278748 1202848435 1532291000 1561404529 1924557496 2405696870 3122809058 4811393740 6014242175 6245618116 7807022645 9622787480 12028484350 12491236232 15614045290 24056968700 30071210875 31228090580 39035113225 48113937400 60142421750 62456181160 78070226450 120284843500 156140452900 195175566125 240569687000 245140511053 312280905800 390351132250 490281022106 780702264500 980562044212 1225702555265 1561404529000 1961124088424 2451405110530 4902810221060 6128512776325 9805620442120 12257025552650 24514051105300 30642563881625 49028102210600 61285127763250 122570255526500 245140511053000