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554001360144 = 243731394392591
BaseRepresentation
bin10000000111111010000…
…11011110010100010000
31221221222022022001002020
420003331003132110100
533034043322011034
61102301003451440
755011445602201
oct10037503362420
91857868261066
10554001360144
111a3a50363661
128b451b26b80
134031bb9730b
141cb5713d5a8
15e62691b249
hex80fd0de510

554001360144 has 160 divisors (see below), whose sum is σ = 1465106227200. Its totient is φ = 180345553920.

The previous prime is 554001360119. The next prime is 554001360161. The reversal of 554001360144 is 441063100455.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213816289 + ... + 213818879.

It is an arithmetic number, because the mean of its divisors is an integer number (9156913920).

Almost surely, 2554001360144 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 554001360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732553113600).

554001360144 is an abundant number, since it is smaller than the sum of its proper divisors (911104867056).

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

554001360144 is a wasteful number, since it uses less digits than its factorization.

554001360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 554001360144 its reverse (441063100455), we get a palindrome (995064460599).

The spelling of 554001360144 in words is "five hundred fifty-four billion, one million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 139 146 219 278 292 417 438 439 556 584 834 876 878 1112 1168 1317 1668 1752 1756 2224 2591 2634 3336 3504 3512 5182 5268 6672 7024 7773 10147 10364 10536 15546 20294 20728 21072 30441 31092 32047 40588 41456 60882 61021 62184 64094 81176 96141 121764 122042 124368 128188 162352 183063 189143 192282 243528 244084 256376 360149 366126 378286 384564 487056 488168 512752 567429 720298 732252 756572 769128 976336 1080447 1134858 1137449 1440596 1464504 1513144 1538256 2160894 2269716 2274898 2881192 2929008 3026288 3412347 4321788 4454533 4539432 4549796 5762384 6824694 8643576 8909066 9078864 9099592 13363599 13649388 17287152 17818132 18199184 26290877 26727198 27298776 35636264 52581754 53454396 54597552 71272528 78872631 83033777 105163508 106908792 157745262 158105411 166067554 210327016 213817584 249101331 315490524 316210822 332135108 420654032 474316233 498202662 630981048 632421644 664270216 948632466 996405324 1261962096 1264843288 1328540432 1897264932 1992810648 2529686576 3794529864 3985621296 7589059728 11541695003 23083390006 34625085009 46166780012 69250170018 92333560024 138500340036 184667120048 277000680072 554001360144