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141514404131000 = 23532934487141497
BaseRepresentation
bin100000001011010011100011…
…110010011111000010111000
3200120001122102010210100102002
4200023103203302133002320
5122022032444424143000
61220550453023200132
741544035600021465
oct4013234362370270
9616048363710362
10141514404131000
11410aaa1594a42a
1213a56533746048
1360c699c092834
1426d349598c66c
1511561ab1e68d5
hex80b4e3c9f0b8

141514404131000 has 128 divisors (see below), whose sum is σ = 342574808284800. Its totient is φ = 54651867827200.

The previous prime is 141514404130991. The next prime is 141514404131011. The reversal of 141514404131000 is 131404415141.

It is a happy number.

It is a super-2 number, since 2×1415144041310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1000052252 + ... + 1000193748.

It is an arithmetic number, because the mean of its divisors is an integer number (2676365689725).

Almost surely, 2141514404131000 is an apocalyptic number.

141514404131000 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 141514404131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171287404142400).

141514404131000 is an abundant number, since it is smaller than the sum of its proper divisors (201060404153800).

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

141514404131000 is a wasteful number, since it uses less digits than its factorization.

141514404131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176034 (or 176020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 141514404131000 its reverse (131404415141), we get a palindrome (141645808546141).

The spelling of 141514404131000 in words is "one hundred forty-one trillion, five hundred fourteen billion, four hundred four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 34487 68974 137948 141497 172435 275896 282994 344870 565988 689740 707485 862175 1000123 1131976 1379480 1414970 1724350 2000246 2829940 3448700 3537425 4000492 4103413 4310875 5000615 5659880 6897400 7074850 8000984 8206826 8621750 10001230 14149700 16413652 17243500 17687125 20002460 20517065 25003075 28299400 32827304 34487000 35374250 40004920 41034130 50006150 70748500 82068260 100012300 102585325 125015375 141497000 164136520 200024600 205170650 250030750 410341300 500061500 512926625 820682600 1000123000 1025853250 2051706500 4103413000 4879807039 9759614078 19519228156 24399035195 39038456312 48798070390 97596140780 121995175975 141514404131 195192281560 243990351950 283028808262 487980703900 566057616524 609975879875 707572020655 975961407800 1132115233048 1219951759750 1415144041310 2439903519500 2830288082620 3537860103275 4879807039000 5660576165240 7075720206550 14151440413100 17689300516375 28302880826200 35378601032750 70757202065500 141514404131000