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141194772840 = 233511883121139
BaseRepresentation
bin1000001101111111011…
…1010100000101101000
3111111110002212121222010
42003133313110011220
54303131330212330
6144510341555520
713125636524022
oct2033767240550
9444402777863
10141194772840
115497584a710
1223445a15ba0
1310412276184
146b9619b012
153a15a783b0
hex20dfdd4168

141194772840 has 128 divisors (see below), whose sum is σ = 462619123200. Its totient is φ = 34189989120.

The previous prime is 141194772809. The next prime is 141194772853. The reversal of 141194772840 is 48277491141.

141194772840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 141194772840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104991 + ... + 1226129.

It is an arithmetic number, because the mean of its divisors is an integer number (3614211900).

Almost surely, 2141194772840 is an apocalyptic number.

141194772840 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 141194772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231309561600).

141194772840 is an abundant number, since it is smaller than the sum of its proper divisors (321424350360).

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

141194772840 is a wasteful number, since it uses less digits than its factorization.

141194772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122047 (or 122043 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 141194772840 in words is "one hundred forty-one billion, one hundred ninety-four million, seven hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 883 1320 1766 2649 3532 4415 5298 7064 8830 9713 10596 13245 17660 19426 21192 26490 29139 35320 38852 48565 52980 58278 77704 97130 105960 116556 121139 145695 194260 233112 242278 291390 363417 388520 484556 582780 605695 726834 969112 1165560 1211390 1332529 1453668 1817085 2422780 2665058 2907336 3634170 3997587 4845560 5330116 6662645 7268340 7995174 10660232 13325290 14536680 15990348 19987935 26650580 31980696 39975870 53301160 79951740 106965737 159903480 213931474 320897211 427862948 534828685 641794422 855725896 1069657370 1176623107 1283588844 1604486055 2139314740 2353246214 2567177688 3208972110 3529869321 4278629480 4706492428 5883115535 6417944220 7059738642 9412984856 11766231070 12835888440 14119477284 17649346605 23532462140 28238954568 35298693210 47064924280 70597386420 141194772840