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2420032404144 = 2433147233148513
BaseRepresentation
bin100011001101110101001…
…010111111101010110000
322120100112012220210100010
4203031311022333222300
5304122211243413034
65051425245054520
7336561442013505
oct43156512775260
98510465823303
102420032404144
1185336a224993
12331027b57440
131472921b4694
14851b73714ac
1542e3d3e33e9
hex233752bfab0

2420032404144 has 160 divisors (see below), whose sum is σ = 6619057496064. Its totient is φ = 760761630720.

The previous prime is 2420032404061. The next prime is 2420032404187. The reversal of 2420032404144 is 4414042300242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16220832 + ... + 16369344.

Almost surely, 22420032404144 is an apocalyptic number.

2420032404144 is a gapful number since it is divisible by the number (24) 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 2420032404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309528748032).

2420032404144 is an abundant number, since it is smaller than the sum of its proper divisors (4199025091920).

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

2420032404144 is a wasteful number, since it uses less digits than its factorization.

2420032404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148835 (or 148829 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2420032404144 its reverse (4414042300242), we get a palindrome (6834074704386).

The spelling of 2420032404144 in words is "two trillion, four hundred twenty billion, thirty-two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 233 248 282 372 376 466 496 564 699 744 752 932 1128 1398 1457 1488 1864 2256 2796 2914 3728 4371 5592 5828 7223 8742 10951 11184 11656 14446 17484 21669 21902 23312 28892 32853 34968 43338 43804 57784 65706 69936 86676 87608 115568 131412 148513 173352 175216 262824 297026 339481 346704 445539 525648 594052 678962 891078 1018443 1188104 1357924 1782156 2036886 2376208 2715848 3564312 4073772 4603903 5431696 6980111 7128624 8147544 9207806 13811709 13960222 16295088 18415612 20940333 27623418 27920444 34603529 36831224 41880666 55246836 55840888 69207058 73662448 83761332 103810587 110493672 111681776 138414116 167522664 207621174 216383441 220987344 276828232 335045328 415242348 432766882 553656464 649150323 830484696 865533764 1072709399 1298300646 1626365863 1660969392 1731067528 2145418798 2596601292 3218128197 3252731726 3462135056 4290837596 4879097589 5193202584 6436256394 6505463452 8581675192 9758195178 10386405168 12872512788 13010926904 17163350384 19516390356 25745025576 26021853808 39032780712 50417341753 51490051152 78065561424 100834683506 151252025259 201669367012 302504050518 403338734024 605008101036 806677468048 1210016202072 2420032404144