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142120042014000 = 2435394725012327
BaseRepresentation
bin100000010100000111100110…
…100111101010010100110000
3200122012112200002022112102210
4200110013212213222110300
5122111443321223422000
61222133013533012120
741635556062053261
oct4024074647522460
9618175602275383
10142120042014000
1141313853722966
1213b33996624040
13613bb29a7c58b
14271490a8dc968
151166d05ebd350
hex8141e69ea530

142120042014000 has 160 divisors (see below), whose sum is σ = 458678872244736. Its totient is φ = 37858656633600.

The previous prime is 142120042013981. The next prime is 142120042014043. The reversal of 142120042014000 is 410240021241.

It is a super-2 number, since 2×1421200420140002 (a number of 29 digits) contains 22 as substring.

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, 6824164 + ... + 18188163.

Almost surely, 2142120042014000 is an apocalyptic number.

142120042014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142120042014000 is an abundant number, since it is smaller than the sum of its proper divisors (316558830230736).

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

142120042014000 is a wasteful number, since it uses less digits than its factorization.

142120042014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25013300 (or 25013284 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 142120042014000 its reverse (410240021241), we get a palindrome (142530282035241).

The spelling of 142120042014000 in words is "one hundred forty-two trillion, one hundred twenty billion, forty-two million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 947 1000 1200 1500 1894 2000 2841 3000 3788 4735 5682 6000 7576 9470 11364 14205 15152 18940 22728 23675 28410 37880 45456 47350 56820 71025 75760 94700 113640 118375 142050 189400 227280 236750 284100 355125 378800 473500 568200 710250 947000 1136400 1420500 1894000 2841000 5682000 25012327 50024654 75036981 100049308 125061635 150073962 200098616 250123270 300147924 375184905 400197232 500246540 600295848 625308175 750369810 1000493080 1200591696 1250616350 1500739620 1875924525 2000986160 2501232700 3001479240 3126540875 3751849050 5002465400 6002958480 6253081750 7503698100 9379622625 10004930800 12506163500 15007396200 18759245250 23686673669 25012327000 30014792400 37518490500 47373347338 50024654000 71060021007 75036981000 94746694676 118433368345 142120042014 150073962000 189493389352 236866736690 284240084028 355300105035 378986778704 473733473380 568480168056 592166841725 710600210070 947466946760 1136960336112 1184333683450 1421200420140 1776500525175 1894933893520 2368667366900 2842400840280 2960834208625 3553001050350 4737334733800 5684801680560 5921668417250 7106002100700 8882502625875 9474669467600 11843336834500 14212004201400 17765005251750 23686673669000 28424008402800 35530010503500 47373347338000 71060021007000 142120042014000