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3142423200 = 253527187049
BaseRepresentation
bin1011101101001101…
…1001001010100000
322010000000122020110
42323103121022200
522413430020300
61235453011320
7140605104450
oct27323311240
98100018213
103142423200
1113728a8074
12738483b40
133b105c817
1421b4bbd60
15135d28550
hexbb4d92a0

3142423200 has 144 divisors (see below), whose sum is σ = 11689876800. Its totient is φ = 718264320.

The previous prime is 3142423181. The next prime is 3142423237. The reversal of 3142423200 is 23242413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76725 + ... + 110324.

It is an arithmetic number, because the mean of its divisors is an integer number (81179700).

Almost surely, 23142423200 is an apocalyptic number.

3142423200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142423200 is an abundant number, since it is smaller than the sum of its proper divisors (8547453600).

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

3142423200 is a wasteful number, since it uses less digits than its factorization.

3142423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187079 (or 187066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3142423200 is about 56057.3206637634. The cubic root of 3142423200 is about 1464.7209414619.

Adding to 3142423200 its reverse (23242413), we get a palindrome (3165665613).

The spelling of 3142423200 in words is "three billion, one hundred forty-two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 187049 374098 561147 748196 935245 1122294 1309343 1496392 1870490 2244588 2618686 2805735 2992784 3740980 3928029 4489176 4676225 5237372 5611470 5985568 6546715 7481960 7856058 8978352 9352450 10474744 11222940 13093430 14028675 14963920 15712116 17956704 18704900 19640145 20949488 22445880 26186860 28057350 29927840 31424232 32733575 37409800 39280290 41898976 44891760 52373720 56114700 62848464 65467150 74819600 78560580 89783520 98200725 104747440 112229400 125696928 130934300 149639200 157121160 196401450 209494880 224458800 261868600 314242320 392802900 448917600 523737200 628484640 785605800 1047474400 1571211600 3142423200