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144304124341312 = 26132297682911057
BaseRepresentation
bin100000110011111001101100…
…000100100010110001000000
3200220221100011112112111221101
4200303321230010202301000
5122403234321312410222
61230524222145104144
742252425503403335
oct4063715404426100
9626840145474841
10144304124341312
1141a8604320a851
1214227133328054
136269a88943380
14278c4dd40c98c
1511a3a34c8c927
hex833e6c122c40

144304124341312 has 112 divisors (see below), whose sum is σ = 308588025962160. Its totient is φ = 66557139812352.

The previous prime is 144304124341207. The next prime is 144304124341367. The reversal of 144304124341312 is 213143421403441.

It can be written as a sum of positive squares in 8 ways, for example, as 17715883032576 + 126588241308736 = 4209024^2 + 11251144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13050923688 + ... + 13050934744.

It is an arithmetic number, because the mean of its divisors is an integer number (2755250231805).

Almost surely, 2144304124341312 is an apocalyptic number.

It is an amenable number.

144304124341312 is an abundant number, since it is smaller than the sum of its proper divisors (164283901620848).

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

144304124341312 is a wasteful number, since it uses less digits than its factorization.

144304124341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20208 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 144304124341312 its reverse (213143421403441), we get a palindrome (357447545744753).

The spelling of 144304124341312 in words is "one hundred forty-four trillion, three hundred four billion, one hundred twenty-four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2297 4594 6829 9188 11057 13658 18376 22114 27316 29861 36752 44228 54632 59722 73504 88456 88777 109264 119444 143741 147008 176912 177554 218528 238888 287482 353824 355108 437056 477776 574964 707648 710216 955552 1149928 1420432 1911104 2299856 2840864 4599712 5681728 9199424 15686213 25397929 31372426 50795858 62744852 75508253 101591716 125489704 151016506 203183432 203920769 250979408 302033012 330173077 406366864 407841538 501958816 604066024 660346154 812733728 815683076 981607289 1003917632 1208132048 1320692308 1625467456 1631366152 1963214578 2416264096 2641384616 3262732304 3926429156 4832528192 5282769232 6525464608 7852858312 10565538464 13050929216 15705716624 21131076928 31411433248 62822866496 173442457141 346884914282 693769828564 1387539657128 2254751942833 2775079314256 4509503885666 5550158628512 9019007771332 11100317257024 18038015542664 36076031085328 72152062170656 144304124341312