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14153542432 = 2541127173491
BaseRepresentation
bin11010010111001110…
…11110101100100000
31100112101101110012021
431023213132230200
5212441301324212
610300235311224
71010511061051
oct151347365440
940471343167
1014153542432
11600333aa07
1228abbab514
13144737b2a3
14983a44728
1557c862307
hex34b9deb20

14153542432 has 96 divisors (see below), whose sum is σ = 28994402304. Its totient is φ = 6796339200.

The previous prime is 14153542411. The next prime is 14153542433. The reversal of 14153542432 is 23424535141.

It is not an unprimeable number, because it can be changed into a prime (14153542433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28825707 + ... + 28826197.

It is an arithmetic number, because the mean of its divisors is an integer number (302025024).

Almost surely, 214153542432 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 14153542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497201152).

14153542432 is an abundant number, since it is smaller than the sum of its proper divisors (14840859872).

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

14153542432 is a wasteful number, since it uses less digits than its factorization.

14153542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The spelling of 14153542432 in words is "fourteen billion, one hundred fifty-three million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 127 164 173 254 328 346 491 508 656 692 982 1016 1312 1384 1964 2032 2768 3928 4064 5207 5536 7093 7856 10414 14186 15712 20131 20828 21971 28372 40262 41656 43942 56744 62357 80524 83312 84943 87884 113488 124714 161048 166624 169886 175768 226976 249428 322096 339772 351536 498856 644192 679544 703072 900811 997712 1359088 1801622 1995424 2556637 2718176 3482663 3603244 5113274 6965326 7206488 10226548 10787761 13930652 14412976 20453096 21575522 27861304 28825952 40906192 43151044 55722608 81812384 86302088 111445216 172604176 345208352 442298201 884596402 1769192804 3538385608 7076771216 14153542432