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144523151072 = 2523836533623
BaseRepresentation
bin1000011010011001000…
…0000100011011100000
3111211001001210202112222
42012212100010123200
54331440411313242
6150220520410212
713304263341446
oct2064620043340
9454031722488
10144523151072
1156323607523
1224014616968
13108229b3251
146dd0242b96
153b5cd845d2
hex21a64046e0

144523151072 has 96 divisors (see below), whose sum is σ = 301021152768. Its totient is φ = 68163606016.

The previous prime is 144523151053. The next prime is 144523151099. The reversal of 144523151072 is 270151325441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39888653 + ... + 39892275.

It is an arithmetic number, because the mean of its divisors is an integer number (3135637008).

Almost surely, 2144523151072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144523151072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150510576384).

144523151072 is an abundant number, since it is smaller than the sum of its proper divisors (156498001696).

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

144523151072 is a wasteful number, since it uses less digits than its factorization.

144523151072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 144523151072 in words is "one hundred forty-four billion, five hundred twenty-three million, one hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 653 664 736 1306 1328 1909 2612 2656 3623 3818 5224 7246 7636 10448 14492 15019 15272 20896 28984 30038 30544 54199 57968 60076 61088 83329 108398 115936 120152 166658 216796 240304 300709 333316 433592 480608 601418 666632 867184 1202836 1246577 1333264 1734368 2365819 2405672 2493154 2666528 4731638 4811344 4986308 6916307 9463276 9622688 9972616 13832614 18926552 19945232 27665228 37853104 39890464 54413837 55330456 75706208 108827674 110660912 196362977 217655348 221321824 392725954 435310696 785451908 870621392 1570903816 1741242784 3141807632 4516348471 6283615264 9032696942 18065393884 36130787768 72261575536 144523151072