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40144340004032 = 261125183928203
BaseRepresentation
bin10010010000010110101010…
…01000000010110011000000
312021010202120002002221100202
421020023111020002303000
520230211102020112112
6221214015531304332
711312222111612015
oct1110132510026300
9167122502087322
1040144340004032
111187813440a500
1246042aa2ab0a8
131952797344584
149cadd428570c
154993a69756c2
hex2482d5202cc0

40144340004032 has 42 divisors (see below), whose sum is σ = 87561731293764. Its totient is φ = 18247427271040.

The previous prime is 40144340004023. The next prime is 40144340004077. The reversal of 40144340004032 is 23040004344104.

It is a happy number.

It is a super-2 number, since 2×401443400040322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144340003986 and 40144340004004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2591956358 + ... + 2591971845.

It is an arithmetic number, because the mean of its divisors is an integer number (2084803126042).

Almost surely, 240144340004032 is an apocalyptic number.

It is an amenable number.

40144340004032 is an abundant number, since it is smaller than the sum of its proper divisors (47417391289732).

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

40144340004032 is a wasteful number, since it uses less digits than its factorization.

40144340004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183928237 (or 5183928216 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 40144340004032 its reverse (23040004344104), we get a palindrome (63184344348136).

The spelling of 40144340004032 in words is "forty trillion, one hundred forty-four billion, three hundred forty million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 5183928203 10367856406 20735712812 41471425624 57023210233 82942851248 114046420466 165885702496 228092840932 331771404992 456185681864 627255312563 912371363728 1254510625126 1824742727456 2509021250252 3649485454912 5018042500504 10036085001008 20072170002016 40144340004032