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145423301552 = 24173074393967
BaseRepresentation
bin1000011101101111100…
…1110111101110110000
3111220100210121010212122
42013123321313232300
54340311331122202
6150450114013412
713335503445044
oct2073371675660
9456323533778
10145423301552
1156745731941
1224225b77268
1310937330279
1470779dc024
153bb1de09a2
hex21dbe77bb0

145423301552 has 80 divisors (see below), whose sum is σ = 300060794880. Its totient is φ = 68039046144.

The previous prime is 145423301437. The next prime is 145423301557. The reversal of 145423301552 is 255103324541.

It is a super-2 number, since 2×1454233015522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145423301557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36656273 + ... + 36660239.

It is an arithmetic number, because the mean of its divisors is an integer number (3750759936).

Almost surely, 2145423301552 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 145423301552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150030397440).

145423301552 is an abundant number, since it is smaller than the sum of its proper divisors (154637493328).

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

145423301552 is a wasteful number, since it uses less digits than its factorization.

145423301552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 145423301552 in words is "one hundred forty-five billion, four hundred twenty-three million, three hundred one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 307 439 614 878 1228 1756 2456 3512 3967 4912 5219 7024 7463 7934 10438 14926 15868 20876 29852 31736 41752 59704 63472 67439 83504 119408 134773 134878 269546 269756 539092 539512 1078184 1079024 1217869 1741513 2156368 2291141 2435738 3483026 4582282 4871476 6966052 9164564 9742952 13932104 18329128 19485904 20703773 27864208 29605721 36658256 41407546 59211442 82815092 118422884 165630184 236845768 331260368 473691536 534644491 1069288982 2138577964 4277155928 8554311856 9088956347 18177912694 36355825388 72711650776 145423301552