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4142000141536 = 254114232218561
BaseRepresentation
bin111100010001100010011…
…100100111010011100000
3112122222020010000022001111
4330101202130213103200
51020330304014012121
612450450353513104
7605151424203625
oct74214234472340
915588203008044
104142000141536
111357681109744
1256a8b7572794
13240786b8431a
1410468c46234c
1572b225bb2e1
hex3c4627274e0

4142000141536 has 48 divisors (see below), whose sum is σ = 8359328634048. Its totient is φ = 2019067084800.

The previous prime is 4142000141483. The next prime is 4142000141563. The reversal of 4142000141536 is 6351410002414.

It is a junction number, because it is equal to n+sod(n) for n = 4142000141498 and 4142000141507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757696 + ... + 2976256.

It is an arithmetic number, because the mean of its divisors is an integer number (174152679876).

Almost surely, 24142000141536 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 4142000141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179664317024).

4142000141536 is an abundant number, since it is smaller than the sum of its proper divisors (4217328492512).

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

4142000141536 is a wasteful number, since it uses less digits than its factorization.

4142000141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220035 (or 2220027 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 4142000141536 in words is "four trillion, one hundred forty-two billion, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1423 2846 5692 11384 22768 45536 58343 116686 233372 466744 933488 1866976 2218561 4437122 8874244 17748488 35496976 70993952 90961001 181922002 363844004 727688008 1455376016 2910752032 3157012303 6314024606 12628049212 25256098424 50512196848 101024393696 129437504423 258875008846 517750017692 1035500035384 2071000070768 4142000141536