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144502520500 = 22531327332333
BaseRepresentation
bin1000011010010100000…
…1010111101010110100
3111210222121222121201201
42012211001113222310
54331420121124000
6150214502302244
713303623105142
oct2064501275264
9453877877651
10144502520500
11563129a6468
1224009727984
131081b63bb00
146dcb5d2592
153b5b15b96a
hex21a5057ab4

144502520500 has 144 divisors (see below), whose sum is σ = 342350242416. Its totient is φ = 53259148800.

The previous prime is 144502520453. The next prime is 144502520501. The reversal of 144502520500 is 5025205441.

It can be written as a sum of positive squares in 24 ways, for example, as 144390880144 + 111640356 = 379988^2 + 10566^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144502520501) by changing a digit.

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, 61937334 + ... + 61939666.

It is an arithmetic number, because the mean of its divisors is an integer number (2377432239).

Almost surely, 2144502520500 is an apocalyptic number.

144502520500 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 144502520500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175121208).

144502520500 is an abundant number, since it is smaller than the sum of its proper divisors (197847721916).

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

144502520500 is a wasteful number, since it uses less digits than its factorization.

144502520500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

Adding to 144502520500 its reverse (5025205441), we get a palindrome (149527725941).

The spelling of 144502520500 in words is "one hundred forty-four billion, five hundred two million, five hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 733 845 1300 1466 1625 1690 2333 2932 3250 3380 3665 4225 4666 6500 7330 8450 9332 9529 11665 14660 16900 18325 19058 21125 23330 30329 36650 38116 42250 46660 47645 58325 60658 73300 84500 91625 95290 116650 121316 123877 151645 183250 190580 233300 238225 247754 291625 303290 366500 394277 476450 495508 583250 606580 619385 758225 788554 952900 1166500 1191125 1238770 1516450 1577108 1710089 1971385 2382250 2477540 3032900 3096925 3420178 3791125 3942770 4764500 6193850 6840356 7582250 7885540 8550445 9856925 12387700 15164500 15484625 17100890 19713850 22231157 30969250 34201780 39427700 42752225 44462314 49284625 61938500 85504450 88924628 98569250 111155785 171008900 197138500 213761125 222311570 289005041 427522250 444623140 555778925 578010082 855044500 1111557850 1156020164 1445025205 2223115700 2778894625 2890050410 5557789250 5780100820 7225126025 11115578500 14450252050 28900504100 36125630125 72251260250 144502520500