Search a number
-
+
4205211024304 = 2419413371001153
BaseRepresentation
bin111101001100011010000…
…110111111101110110000
3112220000101101102211220201
4331030122012333232300
51022344233010234204
612535503002244544
7612550022635603
oct75143206775660
915800341384821
104205211024304
111381468aa2524
1257abb87b6754
1324671b8c0634
1410776753433a
15745c1b6b9a4
hex3d31a1bfbb0

4205211024304 has 80 divisors (see below), whose sum is σ = 8811676954080. Its totient is φ = 1937589534720.

The previous prime is 4205211024277. The next prime is 4205211024317. The reversal of 4205211024304 is 4034201125024.

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, 3699792 + ... + 4700944.

It is an arithmetic number, because the mean of its divisors is an integer number (110145961926).

Almost surely, 24205211024304 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 4205211024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405838477040).

4205211024304 is an abundant number, since it is smaller than the sum of its proper divisors (4606465929776).

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

4205211024304 is a wasteful number, since it uses less digits than its factorization.

4205211024304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001558 (or 1001552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 4205211024304 its reverse (4034201125024), we get a palindrome (8239412149328).

The spelling of 4205211024304 in words is "four trillion, two hundred five billion, two hundred eleven million, twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 337 656 674 779 1348 1558 2696 3116 5392 6232 6403 12464 12806 13817 25612 27634 51224 55268 102448 110536 221072 262523 525046 1001153 1050092 2002306 2100184 4004612 4200368 8009224 16018448 19021907 38043814 41047273 76087628 82094546 152175256 164189092 304350512 328378184 337388561 656756368 674777122 779898187 1349554244 1559796374 2699108488 3119592748 5398216976 6239185496 6410382659 12478370992 12820765318 13832931001 25641530636 27665862002 51283061272 55331724004 102566122544 110663448008 221326896016 262825689019 525651378038 1051302756076 2102605512152 4205211024304