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114323132332040 = 23553353152764889
BaseRepresentation
bin11001111111100111101101…
…101100010011100000001000
3112222210011222122201201210212
4121333213231230103200020
5104441032233334111130
61043051153313100252
733036400536160532
oct3177475554234010
9488704878651725
10114323132332040
1133477193892545
12109a4709857688
134ba381850ba18
1420333aa6ba852
15d33c18acae95
hex67f9edb13808

114323132332040 has 64 divisors (see below), whose sum is σ = 262822827351600. Its totient is φ = 44739336159232.

The previous prime is 114323132332027. The next prime is 114323132332051. The reversal of 114323132332040 is 40233231323411.

It can be written as a sum of positive squares in 8 ways, for example, as 71352721278916 + 42970411053124 = 8447054^2 + 6555182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114323132331988 and 114323132332006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75634085 + ... + 77130804.

Almost surely, 2114323132332040 is an apocalyptic number.

114323132332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114323132332040 is an abundant number, since it is smaller than the sum of its proper divisors (148499695019560).

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

114323132332040 is a wasteful number, since it uses less digits than its factorization.

114323132332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152765306 (or 152765302 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 114323132332040 its reverse (40233231323411), we get a palindrome (154556363655451).

The spelling of 114323132332040 in words is "one hundred fourteen trillion, three hundred twenty-three billion, one hundred thirty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 353 424 530 706 1060 1412 1765 2120 2824 3530 7060 14120 18709 37418 74836 93545 149672 187090 374180 748360 152764889 305529778 611059556 763824445 1222119112 1527648890 3055297780 6110595560 8096539117 16193078234 32386156468 40482695585 53926005817 64772312936 80965391170 107852011634 161930782340 215704023268 269630029085 323861564680 431408046536 539260058170 1078520116340 2157040232680 2858078308301 5716156616602 11432313233204 14290391541505 22864626466408 28580783083010 57161566166020 114323132332040