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1442973480 = 2335137312671
BaseRepresentation
bin101011000000010…
…0000011100101000
310201120012122111020
41112000200130220
510423400122410
6355103532440
750521033524
oct12600403450
93646178436
101442973480
11680580373
123432ba120
1319cc46880
14d98dad84
1586a32a70
hex56020728

1442973480 has 128 divisors (see below), whose sum is σ = 4726149120. Its totient is φ = 350300160.

The previous prime is 1442973479. The next prime is 1442973491. The reversal of 1442973480 is 843792441.

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, 107545 + ... + 120215.

It is an arithmetic number, because the mean of its divisors is an integer number (36923040).

Almost surely, 21442973480 is an apocalyptic number.

1442973480 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 1442973480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363074560).

1442973480 is an abundant number, since it is smaller than the sum of its proper divisors (3283175640).

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

1442973480 is a wasteful number, since it uses less digits than its factorization.

1442973480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12771 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1442973480 is about 37986.4907565835. The cubic root of 1442973480 is about 1130.0199646667.

The spelling of 1442973480 in words is "one billion, four hundred forty-two million, nine hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 73 78 104 120 130 146 156 195 219 260 292 312 365 390 438 520 584 730 780 876 949 1095 1460 1560 1752 1898 2190 2847 2920 3796 4380 4745 5694 7592 8760 9490 11388 12671 14235 18980 22776 25342 28470 37960 38013 50684 56940 63355 76026 101368 113880 126710 152052 164723 190065 253420 304104 329446 380130 494169 506840 658892 760260 823615 924983 988338 1317784 1520520 1647230 1849966 1976676 2470845 2774949 3294460 3699932 3953352 4624915 4941690 5549898 6588920 7399864 9249830 9883380 11099796 12024779 13874745 18499660 19766760 22199592 24049558 27749490 36074337 36999320 48099116 55498980 60123895 72148674 96198232 110997960 120247790 144297348 180371685 240495580 288594696 360743370 480991160 721486740 1442973480