Search a number
-
+
140109602416 = 2474159587881
BaseRepresentation
bin1000001001111100101…
…1101101111001110000
3111101122110221020222221
42002133023231321300
54243421024234131
6144210535010424
713060021653610
oct2023713557160
9441573836887
10140109602416
1154469244053
12231a2509a14
131029b4b83b4
146ad1ddca40
1539a0671411
hex209f2ede70

140109602416 has 160 divisors (see below), whose sum is σ = 324114255360. Its totient is φ = 57426124800.

The previous prime is 140109602341. The next prime is 140109602447. The reversal of 140109602416 is 614206901041.

It is a happy number.

It is a congruent number.

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, 159034296 + ... + 159035176.

It is an arithmetic number, because the mean of its divisors is an integer number (2025714096).

Almost surely, 2140109602416 is an apocalyptic number.

140109602416 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 140109602416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162057127680).

140109602416 is an abundant number, since it is smaller than the sum of its proper divisors (184004652944).

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

140109602416 is a wasteful number, since it uses less digits than its factorization.

140109602416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 140109602416 in words is "one hundred forty billion, one hundred nine million, six hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 59 82 112 118 164 236 287 328 413 472 574 587 656 826 881 944 1148 1174 1652 1762 2296 2348 2419 3304 3524 4109 4592 4696 4838 6167 6608 7048 8218 9392 9676 12334 14096 16436 16933 19352 24067 24668 32872 33866 34633 36121 38704 48134 49336 51979 65744 67732 69266 72242 96268 98672 103958 135464 138532 144484 168469 192536 207916 242431 252847 270928 277064 288968 336938 363853 385072 415832 484862 505694 517147 554128 577936 673876 727706 831664 969724 1011388 1034294 1347752 1419953 1455412 1939448 2022776 2068588 2131139 2695504 2839906 2910824 3620029 3878896 4045552 4137176 4262278 5679812 5821648 7240058 8274352 8524556 9939671 11359624 14480116 14917973 17049112 19879342 21203027 22719248 28960232 29835946 30511673 34098224 39758684 42406054 57920464 59671892 61023346 79517368 84812108 119343784 122046692 148421189 159034736 169624216 213581711 238687568 244093384 296842378 339248432 427163422 488186768 593684756 854326844 1187369512 1250978593 1708653688 2374739024 2501957186 3417307376 5003914372 8756850151 10007828744 17513700302 20015657488 35027400604 70054801208 140109602416