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142102001141040 = 24352231332653537
BaseRepresentation
bin100000010011110110110011…
…010011001100010100110000
3200122010211002210020020020210
4200103312303103030110300
5122111144344243003130
61222120431430304120
741634350026136103
oct4023666323142460
9618124083206223
10142102001141040
1141307136063aa6
1213b303a07b8040
13613a21323b015
142713ab88b273a
1511665ec23e5b0
hex813db34cc530

142102001141040 has 80 divisors (see below), whose sum is σ = 440518343780448. Its totient is φ = 37893682864128.

The previous prime is 142102001140999. The next prime is 142102001141041. The reversal of 142102001141040 is 40141100201241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 142102001140998 and 142102001141016.

It is not an unprimeable number, because it can be changed into a prime (142102001141041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52225152 + ... + 54878688.

Almost surely, 2142102001141040 is an apocalyptic number.

142102001141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142102001141040 is an abundant number, since it is smaller than the sum of its proper divisors (298416342639408).

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

142102001141040 is a wasteful number, since it uses less digits than its factorization.

142102001141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876686 (or 2876680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 142102001141040 its reverse (40141100201241), we get a palindrome (182243101342281).

The spelling of 142102001141040 in words is "one hundred forty-two trillion, one hundred two billion, one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 223133 446266 669399 892532 1115665 1338798 1785064 2231330 2653537 2677596 3346995 3570128 4462660 5307074 5355192 6693990 7960611 8925320 10614148 10710384 13267685 13387980 15921222 17850640 21228296 26535370 26775960 31842444 39803055 42456592 53070740 53551920 63684888 79606110 106141480 127369776 159212220 212282960 318424440 636848880 592091671421 1184183342842 1776275014263 2368366685684 2960458357105 3552550028526 4736733371368 5920916714210 7105100057052 8881375071315 9473466742736 11841833428420 14210200114104 17762750142630 23683666856840 28420400228208 35525500285260 47367333713680 71051000570520 142102001141040