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145020106260 = 223255332534673
BaseRepresentation
bin1000011100001111011…
…1110011011000010100
3111212022200220200220200
42013003313303120110
54334000121400020
6150342112100500
713322506364421
oct2070367633024
9455280820820
10145020106260
1156559084297
1224132b34730
13108a1940483
14703a244d48
153b8b7ea590
hex21c3df3614

145020106260 has 144 divisors (see below), whose sum is σ = 448427934864. Its totient is φ = 37922586624.

The previous prime is 145020106243. The next prime is 145020106267. The reversal of 145020106260 is 62601020541.

145020106260 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 20 + 10 + 626 + 0 = 666.

145020106260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58929504516 + 86090601744 = 242754^2 + 293412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145020106267) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31031284 + ... + 31035956.

It is an arithmetic number, because the mean of its divisors is an integer number (3114082881).

Almost surely, 2145020106260 is an apocalyptic number.

145020106260 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 145020106260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224213967432).

145020106260 is an abundant number, since it is smaller than the sum of its proper divisors (303407828604).

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

145020106260 is a wasteful number, since it uses less digits than its factorization.

145020106260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 145020106260 in words is "one hundred forty-five billion, twenty million, one hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3253 4673 4770 6506 9346 9540 9759 13012 14019 16265 18692 19518 23365 28038 29277 32530 39036 42057 46730 48795 56076 58554 65060 70095 84114 93460 97590 117108 140190 146385 168228 172409 195180 210285 247669 280380 292770 344818 420570 495338 517227 585540 689636 743007 841140 862045 990676 1034454 1238345 1486014 1551681 1724090 2068908 2229021 2476690 2586135 2972028 3103362 3448180 3715035 4458042 4953380 5172270 6206724 7430070 7758405 8916084 10344540 11145105 14860140 15201269 15516810 22290210 30402538 31033620 44580420 45603807 60805076 76006345 91207614 136811421 152012690 182415228 228019035 273622842 304025380 456038070 547245684 684057105 805667257 912076140 1368114210 1611334514 2417001771 2736228420 3222669028 4028336285 4834003542 7251005313 8056672570 9668007084 12085008855 14502010626 16113345140 24170017710 29004021252 36255026565 48340035420 72510053130 145020106260