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140716053100 = 225271075093691
BaseRepresentation
bin1000001100001101010…
…1001001001001101100
3111110012202002010221101
42003003111021021230
54301141302144400
6144351041212444
713111034500450
oct2030325111154
9443182063841
10140716053100
115474a5a8467
1223331631124
131036703215c
146b4c784660
1539d8a1556a
hex20c354926c

140716053100 has 144 divisors (see below), whose sum is σ = 353024904960. Its totient is φ = 47687788800.

The previous prime is 140716053077. The next prime is 140716053103. The reversal of 140716053100 is 1350617041.

It is a super-2 number, since 2×1407160531002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (140716053103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38122255 + ... + 38125945.

It is an arithmetic number, because the mean of its divisors is an integer number (2451561840).

Almost surely, 2140716053100 is an apocalyptic number.

140716053100 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 140716053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176512452480).

140716053100 is an abundant number, since it is smaller than the sum of its proper divisors (212308851860).

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

140716053100 is a wasteful number, since it uses less digits than its factorization.

140716053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 140716053100 in words is "one hundred forty billion, seven hundred sixteen million, fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 509 535 700 749 1018 1070 1498 2036 2140 2545 2675 2996 3563 3691 3745 5090 5350 7126 7382 7490 10180 10700 12725 14252 14764 14980 17815 18455 18725 25450 25837 35630 36910 37450 50900 51674 54463 71260 73820 74900 89075 92275 103348 108926 129185 178150 184550 217852 258370 272315 356300 369100 381241 394937 516740 544630 645925 762482 789874 1089260 1291850 1361575 1524964 1579748 1878719 1906205 1974685 2583700 2723150 2764559 3757438 3812410 3949370 5446300 5529118 7514876 7624820 7898740 9393595 9531025 9873425 11058236 13151033 13822795 18787190 19062050 19746850 26302066 27645590 37574380 38124100 39493700 46967975 52604132 55291180 65755165 69113975 93935950 131510330 138227950 187871900 201022933 263020660 276455900 328775825 402045866 657551650 804091732 1005114665 1315103300 1407160531 2010229330 2814321062 4020458660 5025573325 5628642124 7035802655 10051146650 14071605310 20102293300 28143210620 35179013275 70358026550 140716053100