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145202442010444 = 227132320818334367
BaseRepresentation
bin100001000000111110010011…
…111110011111111101001100
3201001010012212211201100002001
4201000332103332133331030
5123012444100123313234
61232453025254242044
742404346605532220
oct4100762376377514
9631105784640061
10145202442010444
11422a2012105555
1214351258056324
1363036ba9cb410
1427bdb9b1cc780
1511bc0ae755d14
hex840f93f9ff4c

145202442010444 has 96 divisors (see below), whose sum is σ = 326498132975616. Its totient is φ = 54918804695040.

The previous prime is 145202442010427. The next prime is 145202442010523. The reversal of 145202442010444 is 444010244202541.

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, 13254949 + ... + 21589315.

It is an arithmetic number, because the mean of its divisors is an integer number (3401022218496).

Almost surely, 2145202442010444 is an apocalyptic number.

145202442010444 is a gapful number since it is divisible by the number (14) 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 145202442010444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163249066487808).

145202442010444 is an abundant number, since it is smaller than the sum of its proper divisors (181295690965172).

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

145202442010444 is a wasteful number, since it uses less digits than its factorization.

145202442010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336495 (or 8336493 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 37.

Adding to 145202442010444 its reverse (444010244202541), we get a palindrome (589212686212985).

The spelling of 145202442010444 in words is "one hundred forty-five trillion, two hundred two billion, four hundred forty-two million, ten thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2081 2093 4162 4186 8324 8372 14567 27053 29134 47863 54106 58268 95726 108212 189371 191452 335041 378742 622219 670082 757484 1244438 1340164 2488876 4355533 8334367 8711066 16668734 17422132 33337468 58340569 108346771 116681138 191690441 216693542 233362276 383380882 433387084 758427397 766761764 1341833087 1516854794 2491975733 2683666174 3033709588 4983951466 5367332348 9967902932 17343817727 17443830131 34687635454 34887660262 69375270908 69775320524 121406724089 225469630451 242813448178 398907807721 450939260902 485626896356 797815615442 901878521804 1578287413157 1595631230884 2792354654047 3156574826314 5185801500373 5584709308094 6313149652628 10371603000746 11169418616188 20743206001492 36300610502611 72601221005222 145202442010444