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145420405004 = 227109461103357
BaseRepresentation
bin1000011101101110111…
…0110100100100001100
3111220100121010222120002
42013123232310210030
54340310110430004
6150445531543432
713335440022230
oct2073356644414
9456317128502
10145420405004
11567440336a6
1224224bbab78
1310936857a34
1470774865c0
153bb1a1c61e
hex21dbbb490c

145420405004 has 48 divisors (see below), whose sum is σ = 294148599360. Its totient is φ = 61616712960.

The previous prime is 145420404991. The next prime is 145420405093. The reversal of 145420405004 is 400504024541.

145420405004 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454204050042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355294 + ... + 1458650.

It is an arithmetic number, because the mean of its divisors is an integer number (6128095820).

Almost surely, 2145420405004 is an apocalyptic number.

145420405004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145420405004 is an abundant number, since it is smaller than the sum of its proper divisors (148728194356).

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

145420405004 is a wasteful number, since it uses less digits than its factorization.

145420405004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103938 (or 103936 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 145420405004 its reverse (400504024541), we get a palindrome (545924429545).

The spelling of 145420405004 in words is "one hundred forty-five billion, four hundred twenty million, four hundred five thousand, four".

Divisors: 1 2 4 7 14 28 109 218 436 461 763 922 1526 1844 3052 3227 6454 12908 50249 100498 103357 200996 206714 351743 413428 703486 723499 1406972 1446998 2893996 11265913 22531826 45063652 47647577 78861391 95295154 157722782 190590308 315445564 333533039 667066078 1334132156 5193585893 10387171786 20774343572 36355101251 72710202502 145420405004