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145010342510010 = 232510931474131773
BaseRepresentation
bin100000111110001011011001…
…111101000011110110111010
3201000102212001002121121112200
4200332023121331003312322
5123001322140140310020
61232224455351251030
742354436316653515
oct4076133175036672
9630385032547480
10145010342510010
11422285a4a3163a
121431bb86379a76
1362bb555425073
1427b47764b3d7c
1511b70b9bc5590
hex83e2d9f43dba

145010342510010 has 48 divisors (see below), whose sum is σ = 377371837616904. Its totient is φ = 38634045480576.

The previous prime is 145010342509993. The next prime is 145010342510023. The reversal of 145010342510010 is 10015243010541.

145010342510010 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 103 + 42 + 510 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140866728075441 + 4143614434569 = 11868729^2 + 2035587^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736967517 + ... + 737164256.

Almost surely, 2145010342510010 is an apocalyptic number.

145010342510010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145010342510010 is an abundant number, since it is smaller than the sum of its proper divisors (232361495106894).

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

145010342510010 is a wasteful number, since it uses less digits than its factorization.

145010342510010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474132879 (or 1474132876 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 145010342510010 its reverse (10015243010541), we get a palindrome (155025585520551).

The spelling of 145010342510010 in words is "one hundred forty-five trillion, ten billion, three hundred forty-two million, five hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1093 2186 3279 5465 6558 9837 10930 16395 19674 32790 49185 98370 1474131773 2948263546 4422395319 7370658865 8844790638 13267185957 14741317730 22111976595 26534371914 44223953190 66335929785 132671859570 1611226027889 3222452055778 4833678083667 8056130139445 9667356167334 14501034251001 16112260278890 24168390418335 29002068502002 48336780836670 72505171255005 145010342510010