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145026400435040 = 2557112766408489
BaseRepresentation
bin100000111110011010010111…
…000101001011101101100000
3201000111101111012102201112202
4200332122113011023231200
5123002103032002410130
61232240113020312332
742355545254036465
oct4076322705135540
9630441435381482
10145026400435040
1142234395240363
12143231080a26a8
1362bcc141ac957
1427b545b00366c
1511b770980e145
hex83e69714bb60

145026400435040 has 48 divisors (see below), whose sum is σ = 347450573463840. Its totient is φ = 57193510026240.

The previous prime is 145026400435013. The next prime is 145026400435121. The reversal of 145026400435040 is 40534004620541.

It is a junction number, because it is equal to n+sod(n) for n = 145026400434985 and 145026400435003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6383192885 + ... + 6383215604.

It is an arithmetic number, because the mean of its divisors is an integer number (7238553613830).

Almost surely, 2145026400435040 is an apocalyptic number.

145026400435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145026400435040 is an abundant number, since it is smaller than the sum of its proper divisors (202424173028800).

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

145026400435040 is a wasteful number, since it uses less digits than its factorization.

145026400435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766408575 (or 12766408567 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 145026400435040 in words is "one hundred forty-five trillion, twenty-six billion, four hundred million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 12766408489 25532816978 51065633956 63832042445 102131267912 127664084890 204262535824 255328169780 408525071648 510656339560 906415002719 1021312679120 1812830005438 2042625358240 3625660010876 4532075013595 7251320021752 9064150027190 14502640043504 18128300054380 29005280087008 36256600108760 72513200217520 145026400435040