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142326345464240 = 24573713171521527
BaseRepresentation
bin100000010111000111101111…
…010000110111100110110000
3200122221021011201122200002012
4200113013233100313212300
5122123333323414323430
61222411453115542052
741656511343335240
oct4027075720674660
9618837151580065
10142326345464240
114139329a635573
1213b6797115a928
136155416ca2862
1427208bbc1db20
15116c37ca1b695
hex8171ef4379b0

142326345464240 has 160 divisors (see below), whose sum is σ = 388432786043904. Its totient is φ = 47475054167040.

The previous prime is 142326345464179. The next prime is 142326345464249. The reversal of 142326345464240 is 42464543623241.

It is a happy number.

142326345464240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423263454642402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142326345464249) 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, 272642357 + ... + 273163883.

Almost surely, 2142326345464240 is an apocalyptic number.

142326345464240 is a gapful number since it is divisible by the number (10) 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 142326345464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194216393021952).

142326345464240 is an abundant number, since it is smaller than the sum of its proper divisors (246106440579664).

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

142326345464240 is a wasteful number, since it uses less digits than its factorization.

142326345464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534755 (or 534749 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 50.

The spelling of 142326345464240 in words is "one hundred forty-two trillion, three hundred twenty-six billion, three hundred forty-five million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 13171 20720 26342 52684 65855 92197 105368 131710 184394 210736 263420 368788 460985 487327 521527 526840 737576 921970 974654 1043054 1053680 1475152 1843940 1949308 2086108 2436635 2607635 3411289 3650689 3687880 3898616 4172216 4873270 5215270 6822578 7301378 7375760 7797232 8344432 9746540 10430540 13645156 14602756 17056445 18253445 19296499 19493080 20861080 27290312 29205512 34112890 36506890 38592998 38986160 41722160 54580624 58411024 68225780 73013780 77185996 96482495 135075493 136451560 146027560 154371992 192964990 270150986 272903120 292055120 308743984 385929980 540301972 675377465 771859960 1080603944 1350754930 1543719920 2161207888 2701509860 5403019720 6869032117 10806039440 13738064234 27476128468 34345160585 48083224819 54952256936 68690321170 96166449638 109904513872 137380642340 192332899276 240416124095 254154188329 274761284680 384665798552 480832248190 508308376658 549522569360 769331597104 961664496380 1016616753316 1270770941645 1779079318303 1923328992760 2033233506632 2541541883290 3558158636606 3846657985520 4066467013264 5083083766580 7116317273212 8895396591515 10166167533160 14232634546424 17790793183030 20332335066320 28465269092848 35581586366060 71163172732120 142326345464240