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141540140032 = 2101153119881
BaseRepresentation
bin1000001111010001110…
…0110010010000000000
3111112100011202002200121
42003310130302100000
54304333233440112
6145004520230024
713140332224324
oct2036434622000
9445304662617
10141540140032
11550327a0145
122352160b314
1310468999765
146bc9dbd984
153a36049407
hex20f4732400

141540140032 has 44 divisors (see below), whose sum is σ = 283189815916. Its totient is φ = 70708101120.

The previous prime is 141540140011. The next prime is 141540140041. The reversal of 141540140032 is 230041045141.

It can be written as a sum of positive squares in 2 ways, for example, as 118842909696 + 22697230336 = 344736^2 + 150656^2 .

It is a super-2 number, since 2×1415401400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141540139979 and 141540140006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120732 + ... + 1240612.

Almost surely, 2141540140032 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 141540140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141594907958).

141540140032 is an abundant number, since it is smaller than the sum of its proper divisors (141649675884).

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

141540140032 is a wasteful number, since it uses less digits than its factorization.

141540140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121054 (or 121036 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 141540140032 its reverse (230041045141), we get a palindrome (371581185173).

The spelling of 141540140032 in words is "one hundred forty-one billion, five hundred forty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1153 2306 4612 9224 18448 36896 73792 119881 147584 239762 295168 479524 590336 959048 1180672 1918096 3836192 7672384 15344768 30689536 61379072 122758144 138222793 276445586 552891172 1105782344 2211564688 4423129376 8846258752 17692517504 35385035008 70770070016 141540140032