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3142440120 = 2335712711361
BaseRepresentation
bin1011101101001101…
…1101010010111000
322010000001111110010
42323103131102320
522413431040440
61235453221520
7140605205001
oct27323352270
98100044403
103142440120
111372909856
127384918a0
133b1067431
1421b4c41a8
15135d2d580
hexbb4dd4b8

3142440120 has 128 divisors (see below), whose sum is σ = 9602426880. Its totient is φ = 822528000.

The previous prime is 3142440107. The next prime is 3142440139. The reversal of 3142440120 is 210442413.

It is a super-2 number, since 2×31424401202 = 19749859815571228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308240 + ... + 2309600.

It is an arithmetic number, because the mean of its divisors is an integer number (75018960).

Almost surely, 23142440120 is an apocalyptic number.

3142440120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801213440).

3142440120 is an abundant number, since it is smaller than the sum of its proper divisors (6459986760).

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

3142440120 is a wasteful number, since it uses less digits than its factorization.

3142440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3142440120 is about 56057.4715805128. The cubic root of 3142440120 is about 1464.7235703284.

Adding to 3142440120 its reverse (210442413), we get a palindrome (3352882533).

The spelling of 3142440120 in words is "three billion, one hundred forty-two million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 271 284 355 426 542 568 710 813 852 1065 1084 1355 1361 1420 1626 1704 2130 2168 2710 2722 2840 3252 4065 4083 4260 5420 5444 6504 6805 8130 8166 8520 10840 10888 13610 16260 16332 19241 20415 27220 32520 32664 38482 40830 54440 57723 76964 81660 96205 96631 115446 153928 163320 192410 193262 230892 288615 289893 368831 384820 386524 461784 483155 577230 579786 737662 769640 773048 966310 1106493 1154460 1159572 1449465 1475324 1844155 1932620 2212986 2308920 2319144 2898930 2950648 3688310 3865240 4425972 5532465 5797860 7376620 8851944 11064930 11595720 14753240 22129860 26187001 44259720 52374002 78561003 104748004 130935005 157122006 209496008 261870010 314244012 392805015 523740020 628488024 785610030 1047480040 1571220060 3142440120