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142782036384 = 25313293945127
BaseRepresentation
bin1000010011111001111…
…0001111100110100000
3111122112201120222012210
42010332132033212200
54314404200131014
6145332042322120
713213162166361
oct2047636174640
9448481528183
10142782036384
115560a812269
12238094b9340
131060606c980
146ca6cd7b68
153aaa0ad859
hex213e78f9a0

142782036384 has 96 divisors (see below), whose sum is σ = 417552347520. Its totient is φ = 42417994752.

The previous prime is 142782036367. The next prime is 142782036391. The reversal of 142782036384 is 483630287241.

142782036384 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1936372 + ... + 2008755.

It is an arithmetic number, because the mean of its divisors is an integer number (4349503620).

Almost surely, 2142782036384 is an apocalyptic number.

It is an amenable number.

142782036384 is an abundant number, since it is smaller than the sum of its proper divisors (274770311136).

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

142782036384 is a wasteful number, since it uses less digits than its factorization.

142782036384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945182 (or 3945174 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 142782036384 in words is "one hundred forty-two billion, seven hundred eighty-two million, thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 3945127 7890254 11835381 15780508 23670762 31561016 47341524 51286651 63122032 94683048 102573302 114408683 126244064 153859953 189366096 205146604 228817366 307719906 343226049 378732192 410293208 457634732 615439812 686452098 820586416 915269464 1230879624 1372904196 1487312879 1641172832 1830538928 2461759248 2745808392 2974625758 3661077856 4461938637 4923518496 5491616784 5949251516 8923877274 10983233568 11898503032 17847754548 23797006064 35695509096 47594012128 71391018192 142782036384