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145413135040 = 265838754181
BaseRepresentation
bin1000011101101101001…
…1000101101011000000
3111220100002110122001011
42013123103011223000
54340301230310130
6150445112050304
713335321153055
oct2073323055300
9456302418034
10145413135040
115673aa18668
1224222693994
13109351b0994
14707651302c
153bb108352a
hex21db4c5ac0

145413135040 has 56 divisors (see below), whose sum is σ = 346312705392. Its totient is φ = 58157245440.

The previous prime is 145413135019. The next prime is 145413135067. The reversal of 145413135040 is 40531314541.

It is a super-2 number, since 2×1454131350402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145413134993 and 145413135011.

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 7 ways as a sum of consecutive naturals, for example, 2656750 + ... + 2710930.

Almost surely, 2145413135040 is an apocalyptic number.

145413135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145413135040 is an abundant number, since it is smaller than the sum of its proper divisors (200899570352).

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

145413135040 is an equidigital number, since it uses as much as digits as its factorization.

145413135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62585 (or 62575 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 145413135040 its reverse (40531314541), we get a palindrome (185944449581).

The spelling of 145413135040 in words is "one hundred forty-five billion, four hundred thirteen million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 8387 16774 33548 41935 54181 67096 83870 108362 134192 167740 216724 268384 270905 335480 433448 536768 541810 670960 866896 1083620 1341920 1733792 2167240 2683840 3467584 4334480 8668960 17337920 454416047 908832094 1817664188 2272080235 3635328376 4544160470 7270656752 9088320940 14541313504 18176641880 29082627008 36353283760 72706567520 145413135040