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3142420120 = 235735331793
BaseRepresentation
bin1011101101001101…
…1000011010011000
322010000000111000101
42323103120122120
522413424420440
61235452545144
7140605062460
oct27323303230
98100014011
103142420120
1113728a5824
127384821b4
133b105b2b8
1421b4baba0
15135d2769a
hexbb4d8698

3142420120 has 64 divisors (see below), whose sum is σ = 8103654720. Its totient is φ = 1074315264.

The previous prime is 3142420093. The next prime is 3142420163. The reversal of 3142420120 is 210242413.

3142420120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 82944 + ... + 114736.

It is an arithmetic number, because the mean of its divisors is an integer number (126619605).

Almost surely, 23142420120 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 3142420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051827360).

3142420120 is an abundant number, since it is smaller than the sum of its proper divisors (4961234600).

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

3142420120 is a wasteful number, since it uses less digits than its factorization.

3142420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32164 (or 32160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3142420120 is about 56057.2931918765. The cubic root of 3142420120 is about 1464.7204629201.

Adding to 3142420120 its reverse (210242413), we get a palindrome (3352662533).

The spelling of 3142420120 in words is "three billion, one hundred forty-two million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 353 706 1412 1765 2471 2824 3530 4942 7060 9884 12355 14120 19768 24710 31793 49420 63586 98840 127172 158965 222551 254344 317930 445102 635860 890204 1112755 1271720 1780408 2225510 4451020 8902040 11222929 22445858 44891716 56114645 78560503 89783432 112229290 157121006 224458580 314242012 392802515 448917160 628484024 785605030 1571210060 3142420120