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142131401340400 = 24521229289120019
BaseRepresentation
bin100000010100010010001011…
…101100000011010111110000
3200122020121222201220002211101
4200110102023230003113300
5122112140102220343100
61222142133034454144
741636440423536043
oct4024221354032760
9618217881802741
10142131401340400
1141318652775a1a
1213b36026894354
13613cc1a2771a4
1427152a73c6c5a
15116726d38986a
hex81448bb035f0

142131401340400 has 60 divisors (see below), whose sum is σ = 341748537240600. Its totient is φ = 56806301136640.

The previous prime is 142131401340371. The next prime is 142131401340407. The reversal of 142131401340400 is 4043104131241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142131401340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144068410 + ... + 145051609.

It is an arithmetic number, because the mean of its divisors is an integer number (5695808954010).

Almost surely, 2142131401340400 is an apocalyptic number.

142131401340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142131401340400 is an abundant number, since it is smaller than the sum of its proper divisors (199617135900200).

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

142131401340400 is a wasteful number, since it uses less digits than its factorization.

142131401340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289121266 (or 289121255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142131401340400 its reverse (4043104131241), we get a palindrome (146174505471641).

The spelling of 142131401340400 in words is "one hundred forty-two trillion, one hundred thirty-one billion, four hundred one million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1229 2458 4916 6145 9832 12290 19664 24580 30725 49160 61450 98320 122900 245800 491600 289120019 578240038 1156480076 1445600095 2312960152 2891200190 4625920304 5782400380 7228000475 11564800760 14456000950 23129601520 28912001900 57824003800 115648007600 355328503351 710657006702 1421314013404 1776642516755 2842628026808 3553285033510 5685256053616 7106570067020 8883212583775 14213140134040 17766425167550 28426280268080 35532850335100 71065700670200 142131401340400