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142184215464320 = 2751911692780877
BaseRepresentation
bin100000010101000011010111…
…101001111100100110000000
3200122102200022102222120202002
4200111003113221330212000
5122114021233124324240
61222222305444443132
741643320256303521
oct4025032751744600
9618380272876662
10142184215464320
1141338a94992a17
1213b443060a94a8
136144bb604aaa3
142717a77776848
15116880ed08d15
hex8150d7a7c980

142184215464320 has 64 divisors (see below), whose sum is σ = 357799094866800. Its totient is φ = 53880334276608.

The previous prime is 142184215464307. The next prime is 142184215464331. The reversal of 142184215464320 is 23464512481241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1421842154643203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5846378279 + ... + 5846402598.

Almost surely, 2142184215464320 is an apocalyptic number.

142184215464320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142184215464320 is an abundant number, since it is smaller than the sum of its proper divisors (215614879402480).

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

142184215464320 is a wasteful number, since it uses less digits than its factorization.

142184215464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692780915 (or 11692780903 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 142184215464320 in words is "one hundred forty-two trillion, one hundred eighty-four billion, two hundred fifteen million, four hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 11692780877 23385561754 46771123508 58463904385 93542247016 116927808770 187084494032 222162836663 233855617540 374168988064 444325673326 467711235080 748337976128 888651346652 935422470160 1110814183315 1496675952256 1777302693304 1870844940320 2221628366630 3554605386608 3741689880640 4443256733260 7109210773216 7483379761280 8886513466520 14218421546432 17773026933040 28436843092864 35546053866080 71092107732160 142184215464320