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145360412540 = 225755710491777
BaseRepresentation
bin1000011101100000100…
…1111101111101111100
3111220012102021001100222
42013120021331331330
54340144231200130
6150435550040512
713334111056130
oct2073011757574
9456172231328
10145360412540
1156713188452
1224208aa9138
13109272b1335
14706d50b3c0
153bab61bce5
hex21d827df7c

145360412540 has 96 divisors (see below), whose sum is σ = 350021347200. Its totient is φ = 49672986624.

The previous prime is 145360412537. The next prime is 145360412567. The reversal of 145360412540 is 45214063541.

145360412540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453604125402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145360412540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81800132 + ... + 81801908.

It is an arithmetic number, because the mean of its divisors is an integer number (3646055700).

Almost surely, 2145360412540 is an apocalyptic number.

145360412540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145360412540 is an abundant number, since it is smaller than the sum of its proper divisors (204660934660).

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

145360412540 is a wasteful number, since it uses less digits than its factorization.

145360412540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 145360412540 in words is "one hundred forty-five billion, three hundred sixty million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 557 1049 1114 1777 2098 2228 2785 3554 3899 4196 5245 5570 7108 7343 7798 8885 10490 11140 12439 14686 15596 17770 19495 20980 24878 29372 35540 36715 38990 49756 62195 73430 77980 124390 146860 248780 584293 989789 1168586 1864073 1979578 2337172 2921465 3728146 3959156 4090051 4948945 5842930 6928523 7456292 8180102 9320365 9897890 11685860 13048511 13857046 16360204 18640730 19795780 20450255 26097022 27714092 34642615 37281460 40900510 52194044 65242555 69285230 81801020 130485110 138570460 260970220 1038288661 2076577322 4153154644 5191443305 7268020627 10382886610 14536041254 20765773220 29072082508 36340103135 72680206270 145360412540