Search a number
-
+
1326444007000 = 235371271492063
BaseRepresentation
bin10011010011010110001…
…110010100111001011000
311200210210011102012020211
4103103112032110321120
5133213024131211000
62453205430300504
7164555343012610
oct23232616247130
94623704365224
101326444007000
114715a6075032
121950a74b7734
1398110849a68
14482b361ba40
15247857817ba
hex134d6394e58

1326444007000 has 128 divisors (see below), whose sum is σ = 3575224074240. Its totient is φ = 451199548800.

The previous prime is 1326444006991. The next prime is 1326444007039. The reversal of 1326444007000 is 7004446231.

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, 142969 + ... + 1635031.

It is an arithmetic number, because the mean of its divisors is an integer number (27931438080).

Almost surely, 21326444007000 is an apocalyptic number.

1326444007000 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 1326444007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787612037120).

1326444007000 is an abundant number, since it is smaller than the sum of its proper divisors (2248780067240).

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

1326444007000 is a wasteful number, since it uses less digits than its factorization.

1326444007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492218 (or 1492204 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 1326444007000 in words is "one trillion, three hundred twenty-six billion, four hundred forty-four million, seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 127 140 175 200 250 254 280 350 500 508 635 700 875 889 1000 1016 1270 1400 1750 1778 2540 3175 3500 3556 4445 5080 6350 7000 7112 8890 12700 15875 17780 22225 25400 31750 35560 44450 63500 88900 111125 127000 177800 222250 444500 889000 1492063 2984126 5968252 7460315 10444441 11936504 14920630 20888882 29841260 37301575 41777764 52222205 59682520 74603150 83555528 104444410 149206300 186507875 189492001 208888820 261111025 298412600 373015750 378984002 417777640 522222050 746031500 757968004 947460005 1044444100 1305555125 1326444007 1492063000 1515936008 1894920010 2088888200 2611110250 2652888014 3789840020 4737300025 5222220500 5305776028 6632220035 7579680040 9474600050 10444441000 10611552056 13264440070 18949200100 23686500125 26528880140 33161100175 37898400200 47373000250 53057760280 66322200350 94746000500 132644400700 165805500875 189492001000 265288801400 331611001750 663222003500 1326444007000