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4450322411004 = 2231979574143037
BaseRepresentation
bin100000011000010101111…
…1000101110110111111100
3120202110001121202102022010
41000300223320232313330
51040403230014123004
613244241102051220
7636345065226501
oct100605370566774
916673047672263
104450322411004
111466409a88198
125ba603b79b10
13263881c20222
1411557a99b4a8
157ab6a6d2a89
hex40c2be2edfc

4450322411004 has 96 divisors (see below), whose sum is σ = 11071163980800. Its totient is φ = 1387301610240.

The previous prime is 4450322410993. The next prime is 4450322411011. The reversal of 4450322411004 is 4001142230544.

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 31 ways as a sum of consecutive naturals, for example, 103385374 + ... + 103428410.

It is an arithmetic number, because the mean of its divisors is an integer number (115324624800).

Almost surely, 24450322411004 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 4450322411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535581990400).

4450322411004 is an abundant number, since it is smaller than the sum of its proper divisors (6620841569796).

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

4450322411004 is a wasteful number, since it uses less digits than its factorization.

4450322411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48883 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4450322411004 its reverse (4001142230544), we get a palindrome (8451464641548).

The spelling of 4450322411004 in words is "four trillion, four hundred fifty billion, three hundred twenty-two million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 5741 6004 9006 11482 17223 18012 22964 34446 43037 68892 86074 109079 129111 172148 218158 258222 327237 436316 453539 516444 654474 817703 907078 1308948 1360617 1635406 1814156 2453109 2721234 3270812 3399923 4906218 5442468 6799846 8617241 9812436 10199769 13599692 17234482 20399538 25851723 34468964 40799076 51703446 64598537 103406892 129197074 193795611 247075417 258394148 387591222 494150834 741226251 775182444 988301668 1482452502 2964905004 4694432923 9388865846 14083298769 18777731692 19518957943 28166597538 39037915886 56333195076 58556873829 78075831772 117113747658 234227495316 370860200917 741720401834 1112580602751 1483440803668 2225161205502 4450322411004