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120320434000 = 2453137165179
BaseRepresentation
bin111000000001110101…
…0000001111101010000
3102111120100010100022101
41300003222001331100
53432404012342000
6131135140250144
711456436546214
oct1600352017520
9374510110271
10120320434000
1147033825a08
121b39b0a0954
13b4666baca0
145b75b18944
1531e319de6a
hex1c03a81f50

120320434000 has 160 divisors (see below), whose sum is σ = 317732163840. Its totient is φ = 43799616000.

The previous prime is 120320433941. The next prime is 120320434019. The reversal of 120320434000 is 434023021.

It is a congruent number.

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, 1813411 + ... + 1878589.

It is an arithmetic number, because the mean of its divisors is an integer number (1985826024).

Almost surely, 2120320434000 is an apocalyptic number.

120320434000 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 120320434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158866081920).

120320434000 is an abundant number, since it is smaller than the sum of its proper divisors (197411729840).

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

120320434000 is a wasteful number, since it uses less digits than its factorization.

120320434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65286 (or 65270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 120320434000 its reverse (434023021), we get a palindrome (120754457021).

The spelling of 120320434000 in words is "one hundred twenty billion, three hundred twenty million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 71 80 100 104 125 130 142 200 208 250 260 284 325 355 400 500 520 568 650 710 923 1000 1040 1136 1300 1420 1625 1775 1846 2000 2600 2840 3250 3550 3692 4615 5200 5680 6500 7100 7384 8875 9230 13000 14200 14768 17750 18460 23075 26000 28400 35500 36920 46150 65179 71000 73840 92300 115375 130358 142000 184600 230750 260716 325895 369200 461500 521432 651790 847327 923000 1042864 1303580 1629475 1694654 1846000 2607160 3258950 3389308 4236635 4627709 5214320 6517900 6778616 8147375 8473270 9255418 13035800 13557232 16294750 16946540 18510836 21183175 23138545 26071600 32589500 33893080 37021672 42366350 46277090 60160217 65179000 67786160 74043344 84732700 92554180 105915875 115692725 120320434 130358000 169465400 185108360 211831750 231385450 240640868 300801085 338930800 370216720 423663500 462770900 481281736 578463625 601602170 847327000 925541800 962563472 1156927250 1203204340 1504005425 1694654000 1851083600 2313854500 2406408680 3008010850 4627709000 4812817360 6016021700 7520027125 9255418000 12032043400 15040054250 24064086800 30080108500 60160217000 120320434000