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142054440 = 233511234679
BaseRepresentation
bin10000111011110…
…01010000101000
3100220022010001120
420131321100220
5242331220230
622032415240
73343304613
oct1035712050
9326263046
10142054440
1173205670
123b6a7520
13235794a8
1414c1b17a
15c710310
hex8779428

142054440 has 128 divisors (see below), whose sum is σ = 485222400. Its totient is φ = 32933120.

The previous prime is 142054427. The next prime is 142054459. The reversal of 142054440 is 44450241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142054440.

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, 28021 + ... + 32699.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2142054440 is an apocalyptic number.

142054440 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 142054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

142054440 is an abundant number, since it is smaller than the sum of its proper divisors (343167960).

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

142054440 is a wasteful number, since it uses less digits than its factorization.

142054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 142054440 is about 11918.6593205780. The cubic root of 142054440 is about 521.7770072623. Note that the first 3 decimals are identical.

The spelling of 142054440 in words is "one hundred forty-two million, fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 4679 5060 6072 7590 9358 10120 14037 15180 18716 23395 28074 30360 37432 46790 51469 56148 70185 93580 102938 107617 112296 140370 154407 187160 205876 215234 257345 280740 308814 322851 411752 430468 514690 538085 561480 617628 645702 772035 860936 1029380 1076170 1183787 1235256 1291404 1544070 1614255 2058760 2152340 2367574 2582808 3088140 3228510 3551361 4304680 4735148 5918935 6176280 6457020 7102722 9470296 11837870 12914040 14205444 17756805 23675740 28410888 35513610 47351480 71027220 142054440