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144542042504412 = 223789169031143829
BaseRepresentation
bin100000110111010111010001…
…000110010011110011011100
3200221210002021110112110120220
4200313113101012103303130
5122421134100340120122
61231225410405041340
742305550362412660
oct4067272106236334
9627702243473526
10144542042504412
1142067a32877123
12142652716b6250
136286343916237
142799c2d3bc8a0
1511a9d0c06d25c
hex8375d1193cdc

144542042504412 has 96 divisors (see below), whose sum is σ = 389799694771200. Its totient is φ = 40831255567872.

The previous prime is 144542042504411. The next prime is 144542042504441. The reversal of 144542042504412 is 214405240245441.

144542042504412 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144542042504411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125794914 + ... + 126938742.

It is an arithmetic number, because the mean of its divisors is an integer number (4060413487200).

Almost surely, 2144542042504412 is an apocalyptic number.

144542042504412 is a gapful number since it is divisible by the number (12) 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 144542042504412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194899847385600).

144542042504412 is an abundant number, since it is smaller than the sum of its proper divisors (245257652266788).

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

144542042504412 is a wasteful number, since it uses less digits than its factorization.

144542042504412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160835 (or 1160833 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

Adding to 144542042504412 its reverse (214405240245441), we get a palindrome (358947282749853).

The spelling of 144542042504412 in words is "one hundred forty-four trillion, five hundred forty-two billion, forty-two million, five hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 16903 33806 50709 67612 101418 118321 202836 236642 354963 473284 709926 1143829 1419852 1504367 2287658 3008734 3431487 4513101 4575316 6017468 6862974 8006803 9026202 10530569 13725948 16013606 18052404 21061138 24020409 31591707 32027212 42122276 48040818 63183414 96081636 101800781 126366828 203601562 305402343 407203124 610804686 712605467 1221609372 1425210934 2137816401 2850421868 4275632802 8551265604 19334141587 38668283174 58002424761 77336566348 116004849522 135338991109 232009699044 270677982218 406016973327 541355964436 812033946654 1624067893308 1720738601243 3441477202486 5162215803729 6882954404972 10324431607458 12045170208701 20648863214916 24090340417402 36135510626103 48180680834804 72271021252206 144542042504412