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145010430420 = 223531109371329
BaseRepresentation
bin1000011100001101001…
…0111001000111010100
3111212022000201010011020
42013003102321013110
54333440132233140
6150341124441140
713322331215112
oct2070322710724
9455260633136
10145010430420
1156553675729
122412b8491b0
131089c93331b
147038c46ab2
153b8aa386d0
hex21c34b91d4

145010430420 has 96 divisors (see below), whose sum is σ = 419516267520. Its totient is φ = 37387284480.

The previous prime is 145010430407. The next prime is 145010430449. The reversal of 145010430420 is 24034010541.

It is a super-2 number, since 2×1450104304202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1997316 + ... + 2068644.

It is an arithmetic number, because the mean of its divisors is an integer number (4369961120).

Almost surely, 2145010430420 is an apocalyptic number.

145010430420 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 145010430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209758133760).

145010430420 is an abundant number, since it is smaller than the sum of its proper divisors (274505837100).

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

145010430420 is a wasteful number, since it uses less digits than its factorization.

145010430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72465 (or 72463 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 145010430420 its reverse (24034010541), we get a palindrome (169044440961).

The spelling of 145010430420 in words is "one hundred forty-five billion, ten million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1093 1860 2186 3279 4372 5465 6558 10930 13116 16395 21860 32790 33883 65580 67766 71329 101649 135532 142658 169415 203298 213987 285316 338830 356645 406596 427974 508245 677660 713290 855948 1016490 1069935 1426580 2032980 2139870 2211199 4279740 4422398 6633597 8844796 11055995 13267194 22111990 26534388 33167985 44223980 66335970 77962597 132671940 155925194 233887791 311850388 389812985 467775582 779625970 935551164 1169438955 1559251940 2338877910 2416840507 4677755820 4833681014 7250521521 9667362028 12084202535 14501043042 24168405070 29002086084 36252607605 48336810140 72505215210 145010430420