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145242424310104 = 23115962774456631
BaseRepresentation
bin100001000001100011100011…
…000110110111100101011000
3201001021001002021110121021101
4201001203203012313211120
5123014122441110410404
61232523240521521144
742410263446502432
oct4101434306674530
9631231067417241
10145242424310104
1142307a6a074010
1214358b560431b4
1363073c01c41b4
1427c1ab12ad652
1511bd14e8e32a4
hex8418e31b7958

145242424310104 has 64 divisors (see below), whose sum is σ = 302170345516800. Its totient is φ = 64889958921600.

The previous prime is 145242424310089. The next prime is 145242424310117. The reversal of 145242424310104 is 401013424242541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30361869 + ... + 34818499.

It is an arithmetic number, because the mean of its divisors is an integer number (4721411648700).

Almost surely, 2145242424310104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145242424310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151085172758400).

145242424310104 is an abundant number, since it is smaller than the sum of its proper divisors (156927921206696).

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

145242424310104 is a wasteful number, since it uses less digits than its factorization.

145242424310104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462984 (or 4462980 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 145242424310104 its reverse (401013424242541), we get a palindrome (546255848552645).

The spelling of 145242424310104 in words is "one hundred forty-five trillion, two hundred forty-two billion, four hundred twenty-four million, three hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 6277 12554 25108 50216 69047 138094 276188 370343 552376 740686 1481372 2962744 4073773 4456631 8147546 8913262 16295092 17826524 32590184 35653048 49022941 98045882 196091764 262941229 392183528 525882458 1051764916 2103529832 2892353519 5784707038 11569414076 23138828152 27974272787 55948545574 111897091148 223794182296 307717000657 615434001314 1230868002628 1650482094433 2461736005256 3300964188866 6601928377732 13203856755464 18155303038763 36310606077526 72621212155052 145242424310104