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142413754824 = 233411109118313
BaseRepresentation
bin1000010010100010000…
…1010111000111001000
3111121121001121022220000
42010220201113013020
54313130410123244
6145231325003000
713201100641245
oct2045041270710
9447531538800
10142413754824
1155440940940
12237260b3460
13105779855a3
146c7002c5cc
153a87ab3169
hex21288571c8

142413754824 has 160 divisors (see below), whose sum is σ = 435575780640. Its totient is φ = 43113772800.

The previous prime is 142413754811. The next prime is 142413754829. The reversal of 142413754824 is 428457314241.

142413754824 is a `hidden beast` number, since 1 + 42 + 41 + 3 + 7 + 548 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142413754824.

It is not an unprimeable number, because it can be changed into a prime (142413754829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7767492 + ... + 7785804.

It is an arithmetic number, because the mean of its divisors is an integer number (2722348629).

Almost surely, 2142413754824 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 142413754824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217787890320).

142413754824 is an abundant number, since it is smaller than the sum of its proper divisors (293162025816).

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

142413754824 is a wasteful number, since it uses less digits than its factorization.

142413754824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433 (or 19420 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 142413754824 in words is "one hundred forty-two billion, four hundred thirteen million, seven hundred fifty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1091 1188 1782 2182 2376 3273 3564 4364 6546 7128 8728 9819 12001 13092 18313 19638 24002 26184 29457 36003 36626 39276 48004 54939 58914 72006 73252 78552 88371 96008 108009 109878 117828 144012 146504 164817 176742 201443 216018 219756 235656 288024 324027 329634 353484 402886 432036 439512 494451 604329 648054 659268 706968 805772 864072 972081 988902 1208658 1296108 1318536 1483353 1611544 1812987 1944162 1977804 2417316 2592216 2966706 3625974 3888324 3955608 4834632 5438961 5933412 7251948 7776648 10877922 11866824 14503896 16316883 19979483 21755844 32633766 39958966 43511688 59938449 65267532 79917932 119876898 130535064 159835864 179815347 219774313 239753796 359630694 439548626 479507592 539446041 659322939 719261388 879097252 1078892082 1318645878 1438522776 1618338123 1758194504 1977968817 2157784164 2637291756 3236676246 3955937634 4315568328 5274583512 5933906451 6473352492 7911875268 11867812902 12946704984 15823750536 17801719353 23735625804 35603438706 47471251608 71206877412 142413754824