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1030144142000 = 24531948326437
BaseRepresentation
bin11101111110110010110…
…00000010101010110000
310122110222111221111111202
432333121120002222300
5113334213400021000
62105124112030332
7134265634505651
oct16773130025260
93573874844452
101030144142000
1136797756aa46
121477952323a8
13761b048b35c
1437c05a93528
151bbe2d63dd5
hexefd9602ab0

1030144142000 has 80 divisors (see below), whose sum is σ = 2491110609312. Its totient is φ = 412020921600.

The previous prime is 1030144141963. The next prime is 1030144142023. The reversal of 1030144142000 is 2414410301.

1030144142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10301441420002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 38952782 + ... + 38979218.

Almost surely, 21030144142000 is an apocalyptic number.

1030144142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030144142000 is an abundant number, since it is smaller than the sum of its proper divisors (1460966467312).

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

1030144142000 is a wasteful number, since it uses less digits than its factorization.

1030144142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45943 (or 45927 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1030144142000 its reverse (2414410301), we get a palindrome (1032558552301).

The spelling of 1030144142000 in words is "one trillion, thirty billion, one hundred forty-four million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 19483 26437 38966 52874 77932 97415 105748 132185 155864 194830 211496 264370 311728 389660 422992 487075 528740 660925 779320 974150 1057480 1321850 1558640 1948300 2114960 2435375 2643700 3304625 3896600 4870750 5287400 6609250 7793200 9741500 10574800 13218500 19483000 26437000 38966000 52874000 515072071 1030144142 2060288284 2575360355 4120576568 5150720710 8241153136 10301441420 12876801775 20602882840 25753603550 41205765680 51507207100 64384008875 103014414200 128768017750 206028828400 257536035500 515072071000 1030144142000