Search a number
-
+
142030023343120 = 245111934613245417
BaseRepresentation
bin100000010010110011110001…
…000101101011110000010000
3200121212221022112022020200101
4200102303301011223300100
5122104004441433434440
61222023405244302144
741626221245014543
oct4022636105536020
9617787275266611
10142030023343120
114128965a50a0a0
1213b1a453541954
1361334b2120b53
14271040b34085a
1511647d81a469a
hex812cf116bc10

142030023343120 has 160 divisors (see below), whose sum is σ = 379212275825280. Its totient is φ = 48927390289920.

The previous prime is 142030023343051. The next prime is 142030023343163. The reversal of 142030023343120 is 21343320030241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578606652 + ... + 578852068.

It is an arithmetic number, because the mean of its divisors is an integer number (2370076723908).

Almost surely, 2142030023343120 is an apocalyptic number.

142030023343120 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 142030023343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189606137912640).

142030023343120 is an abundant number, since it is smaller than the sum of its proper divisors (237182252482160).

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

142030023343120 is a wasteful number, since it uses less digits than its factorization.

142030023343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280073 (or 280067 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 142030023343120 its reverse (21343320030241), we get a palindrome (163373343373361).

The spelling of 142030023343120 in words is "one hundred forty-two trillion, thirty billion, twenty-three million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 34613 69226 138452 173065 245417 276904 346130 380743 490834 553808 657647 692260 761486 981668 1227085 1315294 1384520 1522972 1903715 1963336 2454170 2630588 2699587 2769040 3045944 3288235 3807430 3926672 4662923 4908340 5261176 5399174 6091888 6576470 7234117 7614860 9325846 9816680 10522352 10798348 13152940 13497935 14468234 15229720 18651692 19633360 21596696 23314615 26305880 26995870 28936468 30459440 36170585 37303384 43193392 46629230 51292153 52611760 53991740 57872936 72341170 74606768 93258460 102584306 107983480 115745872 144682340 186516920 205168612 215966960 256460765 289364680 373033840 410337224 512921530 578729360 820674448 1025843060 2051686120 4103372240 8494618621 16989237242 33978474484 42473093105 67956948968 84946186210 93440804831 135913897936 161397753799 169892372420 186881609662 322795507598 339784744840 373763219324 467204024155 645591015196 679569489680 747526438648 806988768995 934408048310 1291182030392 1495052877296 1613977537990 1775375291789 1868816096620 2582364060784 3227955075980 3550750583578 3737632193240 6455910151960 7101501167156 7475264386480 8876876458945 12911820303920 14203002334312 17753752917890 28406004668624 35507505835780 71015011671560 142030023343120