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144003354024 = 233191938211993
BaseRepresentation
bin1000011000011101000…
…1001100110110101000
3111202200211201100001110
42012013101030312220
54324404324312044
6150053151350320
713255352212245
oct2060721146650
9452624640043
10144003354024
1156087159292
1223aaa5223a0
131076c0b922a
146d811b65cc
153b2c40a6b9
hex218744cda8

144003354024 has 128 divisors (see below), whose sum is σ = 381575030400. Its totient is φ = 45161349120.

The previous prime is 144003353951. The next prime is 144003354031. The reversal of 144003354024 is 420453300441.

It is a super-2 number, since 2×1440033540242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144003353982 and 144003354000.

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, 72253572 + ... + 72255564.

It is an arithmetic number, because the mean of its divisors is an integer number (2981054925).

Almost surely, 2144003354024 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 144003354024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190787515200).

144003354024 is an abundant number, since it is smaller than the sum of its proper divisors (237571676376).

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

144003354024 is a wasteful number, since it uses less digits than its factorization.

144003354024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 144003354024 its reverse (420453300441), we get a palindrome (564456654465).

The spelling of 144003354024 in words is "one hundred forty-four billion, three million, three hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 193 228 386 456 579 772 821 1158 1544 1642 1993 2316 2463 3284 3667 3986 4632 4926 5979 6568 7334 7972 9852 11001 11958 14668 15599 15944 19704 22002 23916 29336 31198 37867 44004 46797 47832 62396 75734 88008 93594 113601 124792 151468 158453 187188 227202 302936 316906 374376 384649 454404 475359 633812 769298 908808 950718 1153947 1267624 1538596 1636253 1901436 2307894 3010607 3077192 3272506 3802872 4615788 4908759 6021214 6545012 7308331 9031821 9231576 9817518 12042428 13090024 14616662 18063642 19635036 21924993 24084856 29233324 31088807 36127284 39270072 43849986 58466648 62177614 72254568 87699972 93266421 124355228 175399944 186532842 248710456 315796829 373065684 631593658 746131368 947390487 1263187316 1894780974 2526374632 3789561948 6000139751 7579123896 12000279502 18000419253 24000559004 36000838506 48001118008 72001677012 144003354024