Search a number
-
+
143330403111240 = 233547173314664277
BaseRepresentation
bin100000100101101110110101…
…110000110101000101001000
3200210111020211020020220211110
4200211232311300311011020
5122241311131144024430
61224501024515530320
742122165001455022
oct4045566560650510
9623436736226743
10143330403111240
114174009aa38734
12140aa485bb99a0
1361c8ccaac4a47
14275732b105012
1511885455e37b0
hex825bb5c35148

143330403111240 has 128 divisors (see below), whose sum is σ = 439393387138560. Its totient is φ = 37386630319104.

The previous prime is 143330403111151. The next prime is 143330403111257. The reversal of 143330403111240 is 42111304033341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 143330403111198 and 143330403111207.

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, 2441982 + ... + 17106258.

It is an arithmetic number, because the mean of its divisors is an integer number (3432760837020).

Almost surely, 2143330403111240 is an apocalyptic number.

143330403111240 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 143330403111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219696693569280).

143330403111240 is an abundant number, since it is smaller than the sum of its proper divisors (296062984027320).

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

143330403111240 is a wasteful number, since it uses less digits than its factorization.

143330403111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666071 (or 14666067 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 143330403111240 its reverse (42111304033341), we get a palindrome (185441707144581).

The spelling of 143330403111240 in words is "one hundred forty-three trillion, three hundred thirty billion, four hundred three million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1733 1880 2820 3466 5199 5640 6932 8665 10398 13864 17330 20796 25995 34660 41592 51990 69320 81451 103980 162902 207960 244353 325804 407255 488706 651608 814510 977412 1221765 1629020 1954824 2443530 3258040 4887060 9774120 14664277 29328554 43992831 58657108 73321385 87985662 117314216 146642770 175971324 219964155 293285540 351942648 439928310 586571080 689221019 879856620 1378442038 1759713240 2067663057 2756884076 3446105095 4135326114 5513768152 6892210190 8270652228 10338315285 13784420380 16541304456 20676630570 25413192041 27568840760 41353261140 50826384082 76239576123 82706522280 101652768164 127065960205 152479152246 203305536328 254131920410 304958304492 381197880615 508263840820 609916608984 762395761230 1016527681640 1194420025927 1524791522460 2388840051854 3049583044920 3583260077781 4777680103708 5972100129635 7166520155562 9555360207416 11944200259270 14333040311124 17916300388905 23888400518540 28666080622248 35832600777810 47776801037080 71665201555620 143330403111240