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4413354013020 = 2235151829758711
BaseRepresentation
bin100000000111001000001…
…1001011111000101011100
3120121220122020012012221210
41000032100121133011130
51034302022111404040
613215244501024420
7633566012101521
oct100162031370534
916556566165853
104413354013020
111451769314667
125b34073b5110
1326023cc68414
14113870ca1148
1579c04e33480
hex4039065f15c

4413354013020 has 96 divisors (see below), whose sum is σ = 12440939406336. Its totient is φ = 1168939584000.

The previous prime is 4413354012971. The next prime is 4413354013027. The reversal of 4413354013020 is 203104533144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413354013027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75141465 + ... + 75200175.

It is an arithmetic number, because the mean of its divisors is an integer number (129593118816).

Almost surely, 24413354013020 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 4413354013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220469703168).

4413354013020 is an abundant number, since it is smaller than the sum of its proper divisors (8027585393316).

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

4413354013020 is a wasteful number, since it uses less digits than its factorization.

4413354013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67171 (or 67169 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 4413354013020 its reverse (203104533144), we get a palindrome (4616458546164).

The spelling of 4413354013020 in words is "four trillion, four hundred thirteen billion, three hundred fifty-four million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 8297 9060 16594 24891 33188 41485 49782 58711 82970 99564 117422 124455 165940 176133 234844 248910 293555 352266 497820 587110 704532 880665 1174220 1252847 1761330 2505694 3522660 3758541 5011388 6264235 7517082 8865361 12528470 15034164 17730722 18792705 25056940 26596083 35461444 37585410 44326805 53192166 75170820 88653610 106384332 132980415 177307220 265960830 487125167 531921660 974250334 1461375501 1948500668 2435625835 2922751002 4871251670 5845502004 7306877505 9742503340 14613755010 29227510020 73555900217 147111800434 220667700651 294223600868 367779501085 441335401302 735559002170 882670802604 1103338503255 1471118004340 2206677006510 4413354013020