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145414363344 = 2436745215909
BaseRepresentation
bin1000011101101101011…
…1110001100011010000
3111220100011210000221220
42013123113301203100
54340302034111334
6150445154245040
713335334460115
oct2073327614320
9456304700856
10145414363344
1156740687498
1224222b86780
1310935520aa3
14707675290c
153bb1227449
hex21db5f18d0

145414363344 has 40 divisors (see below), whose sum is σ = 381260553120. Its totient is φ = 47747998848.

The previous prime is 145414363333. The next prime is 145414363357. The reversal of 145414363344 is 443363414541.

145414363344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454143633442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145414363296 and 145414363305.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22604739 + ... + 22611170.

It is an arithmetic number, because the mean of its divisors is an integer number (9531513828).

Almost surely, 2145414363344 is an apocalyptic number.

It is an amenable number.

145414363344 is an abundant number, since it is smaller than the sum of its proper divisors (235846189776).

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

145414363344 is a wasteful number, since it uses less digits than its factorization.

145414363344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45215987 (or 45215981 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

Adding to 145414363344 its reverse (443363414541), we get a palindrome (588777777885).

The spelling of 145414363344 in words is "one hundred forty-five billion, four hundred fourteen million, three hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 45215909 90431818 135647727 180863636 271295454 361727272 542590908 723454544 1085181816 2170363632 3029465903 6058931806 9088397709 12117863612 18176795418 24235727224 36353590836 48471454448 72707181672 145414363344