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140628691056 = 24371274397507
BaseRepresentation
bin1000001011111000011…
…1111000100001110000
3111102222122200200202010
42002332013320201300
54301001421103211
6144334240522520
713105624102560
oct2027607704160
9442878620663
10140628691056
1154705259027
1223308320440
1310351bc4b39
146b40d22da0
1539d100a4a6
hex20be1f8870

140628691056 has 160 divisors (see below), whose sum is σ = 419467755520. Its totient is φ = 39767148288.

The previous prime is 140628691043. The next prime is 140628691103. The reversal of 140628691056 is 650196826041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 140628690996 and 140628691014.

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, 18729255 + ... + 18736761.

It is an arithmetic number, because the mean of its divisors is an integer number (2621673472).

Almost surely, 2140628691056 is an apocalyptic number.

140628691056 is a gapful number since it is divisible by the number (16) 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 140628691056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209733877760).

140628691056 is an abundant number, since it is smaller than the sum of its proper divisors (278839064464).

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

140628691056 is a wasteful number, since it uses less digits than its factorization.

140628691056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 140628691056 in words is "one hundred forty billion, six hundred twenty-eight million, six hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 439 508 762 878 889 1016 1317 1524 1756 1778 2032 2634 2667 3048 3073 3512 3556 5268 5334 6096 6146 7024 7112 7507 9219 10536 10668 12292 14224 15014 18438 21072 21336 22521 24584 30028 36876 42672 45042 49168 52549 55753 60056 73752 90084 105098 111506 120112 147504 157647 167259 180168 210196 223012 315294 334518 360336 390271 420392 446024 630588 669036 780542 840784 892048 953389 1170813 1261176 1338072 1561084 1906778 2341626 2522352 2676144 2860167 3122168 3295573 3813556 4683252 5720334 6244336 6591146 6673723 7627112 9366504 9886719 11440668 13182292 13347446 15254224 18733008 19773438 20021169 22881336 23069011 26364584 26694892 39546876 40042338 45762672 46138022 52729168 53389784 69207033 79093752 80084676 92276044 106779568 138414066 158187504 160169352 184552088 276828132 320338704 369104176 418537771 553656264 837075542 1107312528 1255613313 1674151084 2511226626 2929764397 3348302168 5022453252 5859528794 6696604336 8789293191 10044906504 11719057588 17578586382 20089813008 23438115176 35157172764 46876230352 70314345528 140628691056