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4405605043056 = 243783239660983
BaseRepresentation
bin100000000011100001010…
…0001100000101101110000
3120121011122012010202112020
41000013002201200231300
51034140134342334211
613211523525431440
7633202666663410
oct100070241405560
916534565122466
104405605043056
111449452213858
125b1a0426b580
1325c5a67387a9
14113337aa0640
15798ee9c2306
hex401c2860b70

4405605043056 has 160 divisors (see below), whose sum is σ = 13218833940480. Its totient is φ = 1238373572352.

The previous prime is 4405605043043. The next prime is 4405605043061. The reversal of 4405605043056 is 6503405065044.

It is a super-2 number, since 2×44056050430562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4405605042999 and 4405605043017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6334741 + ... + 6995723.

It is an arithmetic number, because the mean of its divisors is an integer number (82617712128).

Almost surely, 24405605043056 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 4405605043056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609416970240).

4405605043056 is an abundant number, since it is smaller than the sum of its proper divisors (8813228897424).

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

4405605043056 is a wasteful number, since it uses less digits than its factorization.

4405605043056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661323 (or 661317 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 4405605043056 in words is "four trillion, four hundred five billion, six hundred five million, forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 239 249 332 336 478 498 581 664 717 956 996 1162 1328 1434 1673 1743 1912 1992 2324 2868 3346 3486 3824 3984 4648 5019 5736 6692 6972 9296 10038 11472 13384 13944 19837 20076 26768 27888 39674 40152 59511 79348 80304 119022 138859 158696 238044 277718 317392 416577 476088 555436 660983 833154 952176 1110872 1321966 1666308 1982949 2221744 2643932 3332616 3965898 4626881 5287864 6665232 7931796 9253762 10575728 13880643 15863592 18507524 27761286 31727184 37015048 54861589 55522572 74030096 109723178 111045144 157974937 164584767 219446356 222090288 315949874 329169534 384031123 438892712 473924811 631899748 658339068 768062246 877785424 947849622 1105824559 1152093369 1263799496 1316678136 1536124492 1895699244 2211649118 2304186738 2527598992 2633356272 3072248984 3317473677 3791398488 4423298236 4608373476 6144497968 6634947354 7582796976 8846596472 9216746952 13111919771 13269894708 17693192944 18433493904 26223839542 26539789416 39335759313 52447679084 53079578832 78671518626 91783438397 104895358168 157343037252 183566876794 209790716336 275350315191 314686074504 367133753588 550700630382 629372149008 734267507176 1101401260764 1468535014352 2202802521528 4405605043056