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120413443020 = 223513215178643
BaseRepresentation
bin111000000100100110…
…0110101001111001100
3102111210211010200200220
41300021030311033030
53433101320134040
6131152301551340
711461646243433
oct1601114651714
9374724120626
10120413443020
1147081281a72
121b406275550
13b47ca54700
145b8420a11a
1531eb4222d0
hex1c093353cc

120413443020 has 144 divisors (see below), whose sum is σ = 367510332672. Its totient is φ = 29443564800.

The previous prime is 120413443013. The next prime is 120413443049. The reversal of 120413443020 is 20344314021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491819 + ... + 1570461.

It is an arithmetic number, because the mean of its divisors is an integer number (2552155088).

Almost surely, 2120413443020 is an apocalyptic number.

120413443020 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 120413443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183755166336).

120413443020 is an abundant number, since it is smaller than the sum of its proper divisors (247096889652).

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

120413443020 is a wasteful number, since it uses less digits than its factorization.

120413443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78832 (or 78817 counting only the distinct ones).

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

Adding to 120413443020 its reverse (20344314021), we get a palindrome (140757757041).

The spelling of 120413443020 in words is "one hundred twenty billion, four hundred thirteen million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 151 156 169 195 260 302 338 390 453 507 604 676 755 780 845 906 1014 1510 1690 1812 1963 2028 2265 2535 3020 3380 3926 4530 5070 5889 7852 9060 9815 10140 11778 19630 23556 25519 29445 39260 51038 58890 76557 78643 102076 117780 127595 153114 157286 235929 255190 306228 314572 382785 393215 471858 510380 765570 786430 943716 1022359 1179645 1531140 1572860 2044718 2359290 3067077 4089436 4718580 5111795 6134154 10223590 11875093 12268308 13290667 15335385 20447180 23750186 26581334 30670770 35625279 39872001 47500372 53162668 59375465 61341540 66453335 71250558 79744002 118750930 132906670 142501116 154376209 159488004 178126395 199360005 237501860 265813340 308752418 356252790 398720010 463128627 617504836 712505580 771881045 797440020 926257254 1543762090 1852514508 2006890717 2315643135 3087524180 4013781434 4631286270 6020672151 8027562868 9262572540 10034453585 12041344302 20068907170 24082688604 30103360755 40137814340 60206721510 120413443020