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145012401024 = 2731613923399
BaseRepresentation
bin1000011100001101101…
…0011010001110000000
3111212022011102020022120
42013003122122032000
54333441133313044
6150341235004240
713322354033241
oct2070332321600
9455264366276
10145012401024
11565547a1227
1224130439680
13108a017326a
1470391dacc8
153b8acc7519
hex21c369a380

145012401024 has 64 divisors (see below), whose sum is σ = 385229520000. Its totient is φ = 48332406272.

The previous prime is 145012401019. The next prime is 145012401041. The reversal of 145012401024 is 420104210541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145012400985 and 145012401003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6185677 + ... + 6209075.

It is an arithmetic number, because the mean of its divisors is an integer number (6019211250).

Almost surely, 2145012401024 is an apocalyptic number.

It is an amenable number.

145012401024 is an abundant number, since it is smaller than the sum of its proper divisors (240217118976).

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

145012401024 is a wasteful number, since it uses less digits than its factorization.

145012401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39555 (or 39543 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 145012401024 its reverse (420104210541), we get a palindrome (565116611565).

The spelling of 145012401024 in words is "one hundred forty-five billion, twelve million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 16139 23399 32278 46798 48417 64556 70197 93596 96834 129112 140394 187192 193668 258224 280788 374384 387336 516448 561576 748768 774672 1032896 1123152 1497536 1549344 2065792 2246304 2995072 3098688 4492608 6197376 8985216 377636461 755272922 1132909383 1510545844 2265818766 3021091688 4531637532 6042183376 9063275064 12084366752 18126550128 24168733504 36253100256 48337467008 72506200512 145012401024