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400202501140 = 225136161740897
BaseRepresentation
bin1011101001011011110…
…11011000110000010100
31102020222210121111100001
411310231323120300110
523024103320014030
6503503412301044
740625251063231
oct5645573306024
91366883544301
10400202501140
111447a7973512
126568b011784
132b97b58cbc0
1415527036788
15a624598cca
hex5d2ded8c14

400202501140 has 96 divisors (see below), whose sum is σ = 921424087584. Its totient is φ = 145105551360.

The previous prime is 400202501129. The next prime is 400202501161. The reversal of 400202501140 is 41105202004.

It can be written as a sum of positive squares in 16 ways, for example, as 302656220164 + 97546280976 = 550142^2 + 312324^2 .

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, 9765172 + ... + 9806068.

It is an arithmetic number, because the mean of its divisors is an integer number (9598167579).

Almost surely, 2400202501140 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 400202501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460712043792).

400202501140 is an abundant number, since it is smaller than the sum of its proper divisors (521221586444).

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

400202501140 is a wasteful number, since it uses less digits than its factorization.

400202501140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41597 (or 41595 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 400202501140 its reverse (41105202004), we get a palindrome (441307703144).

The spelling of 400202501140 in words is "four hundred billion, two hundred two million, five hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 617 793 1220 1234 1586 2468 3085 3172 3965 6170 7930 8021 12340 15860 16042 32084 37637 40105 40897 75274 80210 81794 150548 160420 163588 188185 204485 376370 408970 489281 531661 752740 817940 978562 1063322 1957124 2126644 2446405 2494717 2658305 4892810 4989434 5316610 9785620 9978868 10633220 12473585 24947170 25233449 32431321 49894340 50466898 64862642 100933796 126167245 129725284 162156605 252334490 324313210 328034837 504668980 648626420 656069674 1312139348 1539240389 1640174185 3078480778 3280348370 6156961556 6560696740 7696201945 15392403890 20010125057 30784807780 40020250114 80040500228 100050625285 200101250570 400202501140