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3041554322144 = 251314956986239
BaseRepresentation
bin101100010000101010110…
…000111101001011100000
3101202202210011001120002102
4230100222300331023200
5344313100401302034
610245134252505532
7432513360111242
oct54205260751340
911682704046072
103041554322144
11a72a09137a78
1241158247b2a8
13190a819141c0
14a72d7aa8092
15541b790597e
hex2c42ac3d2e0

3041554322144 has 96 divisors (see below), whose sum is σ = 6503444640000. Its totient is φ = 1391906156544.

The previous prime is 3041554322123. The next prime is 3041554322171. The reversal of 3041554322144 is 4412234551403.

It is a junction number, because it is equal to n+sod(n) for n = 3041554322098 and 3041554322107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35225777 + ... + 35312015.

It is an arithmetic number, because the mean of its divisors is an integer number (67744215000).

Almost surely, 23041554322144 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 3041554322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251722320000).

3041554322144 is an abundant number, since it is smaller than the sum of its proper divisors (3461890317856).

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

3041554322144 is a wasteful number, since it uses less digits than its factorization.

3041554322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86980 (or 86972 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 3041554322144 its reverse (4412234551403), we get a palindrome (7453788873547).

The spelling of 3041554322144 in words is "three trillion, forty-one billion, five hundred fifty-four million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 569 596 1138 1192 1937 2276 2384 3874 4552 4768 7397 7748 9104 14794 15496 18208 29588 30992 59176 61984 84781 86239 118352 169562 172478 236704 339124 344956 678248 689912 1102153 1121107 1356496 1379824 2204306 2242214 2712992 2759648 4408612 4484428 8817224 8968856 12849611 17634448 17937712 25699222 35268896 35875424 49069991 51398444 98139982 102796888 167044943 196279964 205593776 334089886 392559928 411187552 637909883 668179772 785119856 1275819766 1336359544 1570239712 2551639532 2672719088 5103279064 5345438176 7311428659 10206558128 14622857318 20413116256 29245714636 58491429272 95048572567 116982858544 190097145134 233965717088 380194290268 760388580536 1520777161072 3041554322144