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145403166040 = 235111931712237
BaseRepresentation
bin1000011101101010110…
…1000011110101011000
3111220022101201011010221
42013122231003311120
54340241202303130
6150444114245424
713335140342656
oct2073255036530
9456271634127
10145403166040
1156735329820
122421b286874
1310933100272
147075079dd6
153bb026487a
hex21dab43d58

145403166040 has 64 divisors (see below), whose sum is σ = 358748105760. Its totient is φ = 52599889920.

The previous prime is 145403166031. The next prime is 145403166043. The reversal of 145403166040 is 40661304541.

145403166040 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 2×1454031660402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145403165987 and 145403166005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145403166043) by changing a digit.

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, 771199 + ... + 941038.

Almost surely, 2145403166040 is an apocalyptic number.

145403166040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145403166040 is an abundant number, since it is smaller than the sum of its proper divisors (213344939720).

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

145403166040 is a wasteful number, since it uses less digits than its factorization.

145403166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712452 (or 1712448 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 145403166040 in words is "one hundred forty-five billion, four hundred three million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 7720 8492 10615 16984 21230 42460 84920 1712237 3424474 6848948 8561185 13697896 17122370 18834607 34244740 37669214 68489480 75338428 94173035 150676856 188346070 330461741 376692140 660923482 753384280 1321846964 1652308705 2643693928 3304617410 3635079151 6609234820 7270158302 13218469640 14540316604 18175395755 29080633208 36350791510 72701583020 145403166040