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3142532000 = 25533125343
BaseRepresentation
bin1011101101001111…
…0011101110100000
322010000020011111002
42323103303232200
522413442011000
61235455211132
7140606036606
oct27323635640
98100204432
103142532000
111372971893
12738516aa8
133b109a1ba
1421b509876
15135d4a8d5
hexbb4f3ba0

3142532000 has 96 divisors (see below), whose sum is σ = 7970586624. Its totient is φ = 1216416000.

The previous prime is 3142531993. The next prime is 3142532023. The reversal of 3142532000 is 2352413.

It is a happy number.

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, 111329 + ... + 136671.

It is an arithmetic number, because the mean of its divisors is an integer number (83026944).

Almost surely, 23142532000 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 3142532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985293312).

3142532000 is an abundant number, since it is smaller than the sum of its proper divisors (4828054624).

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

3142532000 is a wasteful number, since it uses less digits than its factorization.

3142532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25399 (or 25381 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3142532000 is about 56058.2910906139. The cubic root of 3142532000 is about 1464.7378455928.

Adding to 3142532000 its reverse (2352413), we get a palindrome (3144884413).

The spelling of 3142532000 in words is "three billion, one hundred forty-two million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 25343 31000 50686 62000 101372 124000 126715 202744 253430 405488 506860 633575 785633 810976 1013720 1267150 1571266 2027440 2534300 3142532 3167875 3928165 4054880 5068600 6285064 6335750 7856330 10137200 12570128 12671500 15712660 19640825 20274400 25140256 25343000 31425320 39281650 50686000 62850640 78563300 98204125 101372000 125701280 157126600 196408250 314253200 392816500 628506400 785633000 1571266000 3142532000