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142360350400104 = 23312319148150281
BaseRepresentation
bin100000010111100111011010…
…000111011001111001101000
3200200001111221120221101122020
4200113213122013121321220
5122124412444200300404
61222435235255424440
741662124123456034
oct4027473207317150
9620044846841566
10142360350400104
11413a675a524151
1213b72481385120
1361586a5cc6b95
1427223c61051c4
15116d1bd042ed9
hex8179da1d9e68

142360350400104 has 32 divisors (see below), whose sum is σ = 355903772408640. Its totient is φ = 47453063945600.

The previous prime is 142360350400069. The next prime is 142360350400123. The reversal of 142360350400104 is 401004053063241.

It is a happy number.

142360350400104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423603504001042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21118557 + ... + 27031724.

It is an arithmetic number, because the mean of its divisors is an integer number (11121992887770).

Almost surely, 2142360350400104 is an apocalyptic number.

It is an amenable number.

142360350400104 is an abundant number, since it is smaller than the sum of its proper divisors (213543422008536).

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

142360350400104 is a wasteful number, since it uses less digits than its factorization.

142360350400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48273481 (or 48273477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 142360350400104 in words is "one hundred forty-two trillion, three hundred sixty billion, three hundred fifty million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 123191 246382 369573 492764 739146 985528 1478292 2956584 48150281 96300562 144450843 192601124 288901686 385202248 577803372 1155606744 5931681266671 11863362533342 17795043800013 23726725066684 35590087600026 47453450133368 71180175200052 142360350400104