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4314143000 = 235341139757
BaseRepresentation
bin1000000010010010…
…01001100100011000
3102010122211011122002
410001021021210120
532313410034000
61552031020132
7211623416246
oct40111114430
912118734562
104314143000
111914248542
12a0496a648
13539a31a4b
142ccd69796
151a3b298d5
hex101249918

4314143000 has 128 divisors (see below), whose sum is σ = 10429473600. Its totient is φ = 1669248000.

The previous prime is 4314142969. The next prime is 4314143003. The reversal of 4314143000 is 3414134.

It is a happy number.

It is a super-2 number, since 2×43141430002 = 37223659648898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314143003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698622 + ... + 5699378.

Almost surely, 24314143000 is an apocalyptic number.

4314143000 is a gapful number since it is divisible by the number (40) 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 4314143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214736800).

4314143000 is an abundant number, since it is smaller than the sum of its proper divisors (6115330600).

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

4314143000 is a wasteful number, since it uses less digits than its factorization.

4314143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4314143000 is about 65682.1360797592. The cubic root of 4314143000 is about 1627.9142026273.

Adding to 4314143000 its reverse (3414134), we get a palindrome (4317557134).

The spelling of 4314143000 in words is "four billion, three hundred fourteen million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 139 164 200 205 250 278 328 410 500 556 695 757 820 1000 1025 1112 1390 1514 1640 2050 2780 3028 3475 3785 4100 5125 5560 5699 6056 6950 7570 8200 10250 11398 13900 15140 17375 18925 20500 22796 27800 28495 30280 31037 34750 37850 41000 45592 56990 62074 69500 75700 94625 105223 113980 124148 139000 142475 151400 155185 189250 210446 227960 248296 284950 310370 378500 420892 526115 569900 620740 712375 757000 775925 841784 1052230 1139800 1241480 1424750 1551850 2104460 2630575 2849500 3103700 3879625 4208920 4314143 5261150 5699000 6207400 7759250 8628286 10522300 13152875 15518500 17256572 21044600 21570715 26305750 31037000 34513144 43141430 52611500 86282860 105223000 107853575 172565720 215707150 431414300 539267875 862828600 1078535750 2157071500 4314143000