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4413034133144 = 2371319593538019
BaseRepresentation
bin100000000110111110101…
…0101001111011010011000
3120121212210221021122020222
41000031331111033122120
51034300343214230034
613215153032535212
7633555046133240
oct100157525173230
916555727248228
104413034133144
1114516147a212a
125b3338251508
132601bb8c9aa0
141138405d4b20
1579bd6ce912e
hex4037d54f698

4413034133144 has 128 divisors (see below), whose sum is σ = 10738018368000. Its totient is φ = 1651138504704.

The previous prime is 4413034133111. The next prime is 4413034133177. The reversal of 4413034133144 is 4413314303144.

It is an interprime number because it is at equal distance from previous prime (4413034133111) and next prime (4413034133177).

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, 7933367 + ... + 8471385.

It is an arithmetic number, because the mean of its divisors is an integer number (83890768500).

Almost surely, 24413034133144 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 4413034133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369009184000).

4413034133144 is an abundant number, since it is smaller than the sum of its proper divisors (6324984234856).

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

4413034133144 is a wasteful number, since it uses less digits than its factorization.

4413034133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538657 (or 538653 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 4413034133144 its reverse (4413314303144), we get a palindrome (8826348436288).

The spelling of 4413034133144 in words is "four trillion, four hundred thirteen billion, thirty-four million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 593 728 988 1064 1186 1729 1976 2372 3458 4151 4744 6916 7709 8302 11267 13832 15418 16604 22534 30836 33208 45068 53963 61672 78869 90136 107926 146471 157738 215852 292942 315476 431704 538019 585884 630952 1025297 1076038 1171768 2050594 2152076 3766133 4101188 4304152 6994247 7532266 8202376 10222361 13988494 15064532 20444722 27976988 30129064 40889444 48959729 55953976 71556527 81778888 97919458 132890693 143113054 195838916 265781386 286226108 319045267 391677832 531562772 572452216 638090534 930234851 1063125544 1276181068 1860469702 2233316869 2552362136 3720939404 4147588471 4466633738 6061860073 7441878808 8295176942 8933267476 12123720146 16590353884 17866534952 24247440292 29033119297 33180707768 42433020511 48494880584 58066238594 78804180949 84866041022 116132477188 157608361898 169732082044 232264954376 315216723796 339464164088 551629266643 630433447592 1103258533286 2206517066572 4413034133144