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41220411001434 = 2337217875005219
BaseRepresentation
bin10010101111101010111111…
…11101001000101001011010
312101221122002022112102112000
421113311133331020221122
520400323400204021214
6223400221223301430
711453035132305420
oct1127653775105132
9171848068472460
1041220411001434
111215252943a695
1247589602aa876
131a000b6750cc2
14a27115715110
154b73867ab809
hex257d5ff48a5a

41220411001434 has 64 divisors (see below), whose sum is σ = 104691584025600. Its totient is φ = 11776717369584.

The previous prime is 41220411001337. The next prime is 41220411001447. The reversal of 41220411001434 is 43410011402214.

41220411001434 is a `hidden beast` number, since 4 + 1 + 220 + 4 + 1 + 1 + 0 + 0 + 1 + 434 = 666.

It is a super-2 number, since 2×412204110014342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41220411001398 and 41220411001407.

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, 5732877 + ... + 10738095.

It is an arithmetic number, because the mean of its divisors is an integer number (1635806000400).

Almost surely, 241220411001434 is an apocalyptic number.

41220411001434 is an abundant number, since it is smaller than the sum of its proper divisors (63471173024166).

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

41220411001434 is a wasteful number, since it uses less digits than its factorization.

41220411001434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027024 (or 5027018 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41220411001434 its reverse (43410011402214), we get a palindrome (84630422403648).

The spelling of 41220411001434 in words is "forty-one trillion, two hundred twenty billion, four hundred eleven million, one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 21787 43574 65361 130722 152509 196083 305018 392166 457527 588249 915054 1176498 1372581 2745162 4117743 5005219 8235486 10010438 15015657 30031314 35036533 45046971 70073066 90093942 105109599 135140913 210219198 270281826 315328797 630657594 945986391 1891972782 109048706353 218097412706 327146119059 654292238118 763340944471 981438357177 1526681888942 1962876714354 2290022833413 2944315071531 4580045666826 5888630143062 6870068500239 13740137000478 20610205500717 41220411001434