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4472225013144 = 2337421449140827
BaseRepresentation
bin100000100010100010101…
…1000100001110110011000
3120211112121001100220000210
41001011011120201312120
51041233104100410034
613302302314531120
7641051622251430
oct101050530416630
916745531326023
104472225013144
11147472947a379
126028b7136aa0
1326596282cc35
141166578272c0
157b4ed4c28e9
hex41145621d98

4472225013144 has 128 divisors (see below), whose sum is σ = 12836753856000. Its totient is φ = 1271895367680.

The previous prime is 4472225013127. The next prime is 4472225013197. The reversal of 4472225013144 is 4413105222744.

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, 31686459 + ... + 31827285.

It is an arithmetic number, because the mean of its divisors is an integer number (100287139500).

Almost surely, 24472225013144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472225013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418376928000).

4472225013144 is an abundant number, since it is smaller than the sum of its proper divisors (8364528842856).

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

4472225013144 is a wasteful number, since it uses less digits than its factorization.

4472225013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141713 (or 141709 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 4472225013144 in words is "four trillion, four hundred seventy-two billion, two hundred twenty-five million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 421 449 842 898 1263 1347 1684 1796 2526 2694 2947 3143 3368 3592 5052 5388 5894 6286 8841 9429 10104 10776 11788 12572 17682 18858 23576 25144 35364 37716 70728 75432 140827 189029 281654 378058 422481 563308 567087 756116 844962 985789 1126616 1134174 1323203 1512232 1689924 1971578 2268348 2646406 2957367 3379848 3943156 3969609 4536696 5292812 5914734 7886312 7939218 10585624 11829468 15878436 23658936 31756872 59288167 63231323 118576334 126462646 177864501 189693969 237152668 252925292 355729002 379387938 415017169 442619261 474305336 505850584 711458004 758775876 830034338 885238522 1245051507 1327857783 1422916008 1517551752 1660068676 1770477044 2490103014 2655715566 3320137352 3540954088 4980206028 5311431132 9960412056 10622862264 26620386983 53240773966 79861160949 106481547932 159722321898 186342708881 212963095864 319444643796 372685417762 559028126643 638889287592 745370835524 1118056253286 1490741671048 2236112506572 4472225013144