Search a number
-
+
444200406424656 = 24374258373104533
BaseRepresentation
bin110010011111111110111011…
…1011011110001110001010000
32011020210010220001221000200220
41210333331313123301301100
5431210234413021042111
64212422503302313040
7162364264110346650
oct14477756733616120
92136703801830626
10444200406424656
11119599375167382
12419a1021428780
13160b1bc31b0a6b
147b995b30dc360
153654a12cabe06
hex193ff776f1c50

444200406424656 has 80 divisors (see below), whose sum is σ = 1311452321096064. Its totient is φ = 126914062920192.

The previous prime is 444200406424639. The next prime is 444200406424673. The reversal of 444200406424656 is 656424604002444.

It is an interprime number because it is at equal distance from previous prime (444200406424639) and next prime (444200406424673).

It is a junction number, because it is equal to n+sod(n) for n = 444200406424599 and 444200406424608.

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, 141528966 + ... + 144633498.

Almost surely, 2444200406424656 is an apocalyptic number.

It is an amenable number.

444200406424656 is an abundant number, since it is smaller than the sum of its proper divisors (867251914671408).

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

444200406424656 is a wasteful number, since it uses less digits than its factorization.

444200406424656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530388 (or 3530382 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 51.

The spelling of 444200406424656 in words is "four hundred forty-four trillion, two hundred billion, four hundred six million, four hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 425837 851674 1277511 1703348 2555022 2980859 3104533 3406696 5110044 5961718 6209066 6813392 8942577 9313599 10220088 11923436 12418132 17885154 18627198 20440176 21731731 23846872 24836264 35770308 37254396 43463462 47693744 49672528 65195193 71540616 74508792 86926924 130390386 143081232 149017584 173853848 260780772 347707696 521561544 1043123088 1322025019121 2644050038242 3966075057363 5288100076484 7932150114726 9254175133847 10576200152968 15864300229452 18508350267694 21152400305936 27762525401541 31728600458904 37016700535388 55525050803082 63457200917808 74033401070776 111050101606164 148066802141552 222100203212328 444200406424656