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1442301432 = 2331113232327
BaseRepresentation
bin101010111110111…
…1100010111111000
310201111221111121120
41111331330113320
510423212121212
6355041305240
750512234305
oct12575742770
93644844546
101442301432
11680161460
12343035220
1319ca6ca00
14d97a40ac
158694d88c
hex55f7c5f8

1442301432 has 96 divisors (see below), whose sum is σ = 4259537280. Its totient is φ = 403428480.

The previous prime is 1442301409. The next prime is 1442301449. The reversal of 1442301432 is 2341032441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28453 + ... + 60779.

It is an arithmetic number, because the mean of its divisors is an integer number (44370180).

Almost surely, 21442301432 is an apocalyptic number.

1442301432 is a gapful number since it is divisible by the number (12) 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 1442301432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129768640).

1442301432 is an abundant number, since it is smaller than the sum of its proper divisors (2817235848).

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

1442301432 is a wasteful number, since it uses less digits than its factorization.

1442301432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32373 (or 32356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1442301432 is about 37977.6438447674. The cubic root of 1442301432 is about 1129.8445062363.

Adding to 1442301432 its reverse (2341032441), we get a palindrome (3783333873).

The spelling of 1442301432 in words is "one billion, four hundred forty-two million, three hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 1014 1144 1352 1716 1859 2028 3432 3718 4056 5577 7436 11154 14872 22308 32327 44616 64654 96981 129308 193962 258616 355597 387924 420251 711194 775848 840502 1066791 1260753 1422388 1681004 2133582 2521506 2844776 3362008 4267164 4622761 5043012 5463263 8534328 9245522 10086024 10926526 13868283 16389789 18491044 21853052 27736566 32779578 36982088 43706104 55473132 60095893 65559156 110946264 120191786 131118312 180287679 240383572 360575358 480767144 721150716 1442301432