Search a number
-
+
151301113441104 = 243112337336727543
BaseRepresentation
bin100010011001101110001001…
…000111101110101101010000
3201211201020121201221220201010
4202121232021013232231100
5124312404140020103404
61253442434424410520
743604100431422044
oct4231561107565520
9654636551856633
10151301113441104
1144233495142210
1214b77204916a40
13665683153bc33
142951027802024
151275a50e93189
hex899b891eeb50

151301113441104 has 160 divisors (see below), whose sum is σ = 456958133950464. Its totient is φ = 42670114122240.

The previous prime is 151301113441013. The next prime is 151301113441169. The reversal of 151301113441104 is 401144311103151.

It is a congruent number.

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, 167914444 + ... + 168813099.

Almost surely, 2151301113441104 is an apocalyptic number.

It is an amenable number.

151301113441104 is an abundant number, since it is smaller than the sum of its proper divisors (305657020509360).

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

151301113441104 is a wasteful number, since it uses less digits than its factorization.

151301113441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336727625 (or 336727619 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 151301113441104 its reverse (401144311103151), we get a palindrome (552445424544255).

The spelling of 151301113441104 in words is "one hundred fifty-one trillion, three hundred one billion, one hundred thirteen million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 37 44 46 48 66 69 74 88 92 111 132 138 148 176 184 222 253 264 276 296 368 407 444 506 528 552 592 759 814 851 888 1012 1104 1221 1518 1628 1702 1776 2024 2442 2553 3036 3256 3404 4048 4884 5106 6072 6512 6808 9361 9768 10212 12144 13616 18722 19536 20424 28083 37444 40848 56166 74888 112332 149776 224664 449328 336727543 673455086 1010182629 1346910172 2020365258 2693820344 3704002973 4040730516 5387640688 7408005946 7744733489 8081461032 11112008919 12458919091 14816011892 15489466978 16162922064 22224017838 23234200467 24917838182 29632023784 30978933956 37376757273 44448035676 46468400934 49835676364 59264047568 61957867912 74753514546 85192068379 88896071352 92936801868 99671352728 123915735824 137048110001 149507029092 170384136758 177792142704 185873603736 199342705456 255576205137 274096220002 286555139093 299014058184 340768273516 371747207472 411144330003 511152410274 548192440004 573110278186 598028116368 681536547032 822288660006 859665417279 1022304820548 1096384880008 1146220556372 1363073094064 1644577320012 1719330834558 2044609641096 2192769760016 2292441112744 3152106530023 3289154640024 3438661669116 4089219282192 4584882225488 6304213060046 6578309280048 6877323338232 9456319590069 12608426120092 13754646676464 18912639180138 25216852240184 37825278360276 50433704480368 75650556720552 151301113441104