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142450260216 = 2331110136714557
BaseRepresentation
bin1000010010101010110…
…0100111100011111000
3111121200121021222212120
42010222230213203320
54313214231311331
6145235111241240
713202023143045
oct2045254474370
9447617258776
10142450260216
115545a504990
1223736379220
13105823c7604
146c74c121cc
153a8adc4796
hex212ab278f8

142450260216 has 128 divisors (see below), whose sum is σ = 393443343360. Its totient is φ = 42619968000.

The previous prime is 142450260193. The next prime is 142450260263. The reversal of 142450260216 is 612062054241.

It is a super-2 number, since 2×1424502602162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 9778410 + ... + 9792966.

It is an arithmetic number, because the mean of its divisors is an integer number (3073776120).

Almost surely, 2142450260216 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 142450260216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196721671680).

142450260216 is an abundant number, since it is smaller than the sum of its proper divisors (250993083144).

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

142450260216 is a wasteful number, since it uses less digits than its factorization.

142450260216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 142450260216 in words is "one hundred forty-two billion, four hundred fifty million, two hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 367 404 606 734 808 1101 1111 1212 1468 2202 2222 2424 2936 3333 4037 4404 4444 6666 8074 8808 8888 12111 13332 14557 16148 24222 26664 29114 32296 37067 43671 48444 58228 74134 87342 96888 111201 116456 148268 160127 174684 222402 296536 320254 349368 407737 444804 480381 640508 815474 889608 960762 1223211 1281016 1470257 1630948 1921524 2446422 2940514 3261896 3843048 4410771 4892844 5342419 5881028 8821542 9785688 10684838 11762056 16027257 16172827 17643084 21369676 32054514 32345654 35286168 42739352 48518481 58766609 64109028 64691308 97036962 117533218 128218056 129382616 176299827 194073924 235066436 352599654 388147848 470132872 539584319 705199308 1079168638 1410398616 1618752957 2158337276 3237505914 4316674552 5935427509 6475011828 11870855018 12950023656 17806282527 23741710036 35612565054 47483420072 71225130108 142450260216