Search a number
-
+
14225141581408 = 2537541158314029
BaseRepresentation
bin1100111100000000110010…
…0000101100011001100000
31212100220120120112022020201
43033000030200230121200
53331031042221101113
650130535000314544
72665506161253532
oct317001440543140
955326516468221
1014225141581408
11459493763503a
121718b17172a54
137c256ac1b6c4
1437270162d852
1519a0666aecdd
hexcf00c82c660

14225141581408 has 96 divisors (see below), whose sum is σ = 28836083928960. Its totient is φ = 6902691747840.

The previous prime is 14225141581403. The next prime is 14225141581423. The reversal of 14225141581408 is 80418514152241.

It is a super-2 number, since 2×142251415814082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225141581403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013974138 + ... + 1013988166.

It is an arithmetic number, because the mean of its divisors is an integer number (300375874260).

Almost surely, 214225141581408 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 14225141581408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418041964480).

14225141581408 is an abundant number, since it is smaller than the sum of its proper divisors (14610942347552).

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

14225141581408 is a wasteful number, since it uses less digits than its factorization.

14225141581408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16200 (or 16192 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 14225141581408 in words is "fourteen trillion, two hundred twenty-five billion, one hundred forty-one million, five hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 541 592 1082 1184 1583 2164 3166 4328 6332 8656 12664 14029 17312 20017 25328 28058 40034 50656 56116 58571 80068 112232 117142 160136 224464 234284 320272 448928 468568 519073 640544 856403 937136 1038146 1712806 1874272 2076292 3425612 4152584 6851224 7589689 8305168 13702448 15179378 16610336 22207907 27404896 30358756 31686911 44415814 60717512 63373822 88831628 121435024 126747644 177663256 242870048 253495288 280818493 355326512 506990576 561636986 710653024 821692559 1013981152 1123273972 1643385118 2246547944 3286770236 4493095888 6573540472 8986191776 12014477687 13147080944 24028955374 26294161888 48057910748 96115821496 192231642992 384463285984 444535674419 889071348838 1778142697676 3556285395352 7112570790704 14225141581408