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143668234920 = 23357467366239
BaseRepresentation
bin1000010111001101001…
…0110100101010101000
3111201211111010112001210
42011303102310222220
54323213032004140
6150000020513120
713244142563520
oct2056322645250
9451744115053
10143668234920
1155a24a78351
1223a1624b7a0
13107178433c2
146d4c8a0680
153b0ccb0d80
hex21734b4aa8

143668234920 has 128 divisors (see below), whose sum is σ = 493632921600. Its totient is φ = 32768046336.

The previous prime is 143668234901. The next prime is 143668234933. The reversal of 143668234920 is 29432866341.

It is a super-3 number, since 3×1436682349203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143668234920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209161 + ... + 575399.

It is an arithmetic number, because the mean of its divisors is an integer number (3856507200).

Almost surely, 2143668234920 is an apocalyptic number.

143668234920 is a gapful number since it is divisible by the number (10) 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 143668234920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246816460800).

143668234920 is an abundant number, since it is smaller than the sum of its proper divisors (349964686680).

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

143668234920 is a wasteful number, since it uses less digits than its factorization.

143668234920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366727 (or 366723 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 143668234920 in words is "one hundred forty-three billion, six hundred sixty-eight million, two hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 467 840 934 1401 1868 2335 2802 3269 3736 4670 5604 6538 7005 9340 9807 11208 13076 14010 16345 18680 19614 26152 28020 32690 39228 49035 56040 65380 78456 98070 130760 196140 366239 392280 732478 1098717 1464956 1831195 2197434 2563673 2929912 3662390 4394868 5127346 5493585 7324780 7691019 8789736 10254692 10987170 12818365 14649560 15382038 20509384 21974340 25636730 30764076 38455095 43948680 51273460 61528152 76910190 102546920 153820380 171033613 307640760 342067226 513100839 684134452 855168065 1026201678 1197235291 1368268904 1710336130 2052403356 2394470582 2565504195 3420672260 3591705873 4104806712 4788941164 5131008390 5986176455 6841344520 7183411746 9577882328 10262016780 11972352910 14366823492 17958529365 20524033560 23944705820 28733646984 35917058730 47889411640 71834117460 143668234920