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141685240920 = 233513967712547
BaseRepresentation
bin1000001111110100011…
…0010011010001011000
3111112201021202222200120
42003331012103101120
54310132410202140
6145031142233240
713144043451066
oct2037506232130
9445637688616
10141685240920
11550a7696633
1223562125820
131048ca71782
146c01391036
153a43b5c1d0
hex20fd193458

141685240920 has 128 divisors (see below), whose sum is σ = 428780217600. Its totient is φ = 37452519936.

The previous prime is 141685240913. The next prime is 141685240951. The reversal of 141685240920 is 29042586141.

It is a Cunningham number, because it is equal to 3764112-1.

It is a congruent number.

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, 11286087 + ... + 11298633.

It is an arithmetic number, because the mean of its divisors is an integer number (3349845450).

Almost surely, 2141685240920 is an apocalyptic number.

141685240920 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 141685240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214390108800).

141685240920 is an abundant number, since it is smaller than the sum of its proper divisors (287094976680).

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

141685240920 is a wasteful number, since it uses less digits than its factorization.

141685240920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 141685240920 in words is "one hundred forty-one billion, six hundred eighty-five million, two hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 677 695 834 1112 1354 1390 1668 2031 2085 2708 2780 3336 3385 4062 4170 5416 5560 6770 8124 8340 10155 12547 13540 16248 16680 20310 25094 27080 37641 40620 50188 62735 75282 81240 94103 100376 125470 150564 188205 188206 250940 282309 301128 376410 376412 470515 501880 564618 752820 752824 941030 1129236 1411545 1505640 1744033 1882060 2258472 2823090 3488066 3764120 5232099 5646180 6976132 8494319 8720165 10464198 11292360 13952264 16988638 17440330 20928396 25482957 26160495 33977276 34880660 41856792 42471595 50965914 52320990 67954552 69761320 84943190 101931828 104641980 127414785 169886380 203863656 209283960 254829570 339772760 509659140 1019318280 1180710341 2361420682 3542131023 4722841364 5903551705 7084262046 9445682728 11807103410 14168524092 17710655115 23614206820 28337048184 35421310230 47228413640 70842620460 141685240920