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414454140 = 223252302523
BaseRepresentation
bin11000101101000…
…001000101111100
31001212212110012100
4120231001011330
51322100013030
6105043105100
713161542052
oct3055010574
91055773170
10414454140
111a2a48591
12b6972190
1367b32649
143d0881d2
15265bb360
hex18b4117c

414454140 has 36 divisors (see below), whose sum is σ = 1257178104. Its totient is φ = 110521056.

The previous prime is 414454129. The next prime is 414454141. The reversal of 414454140 is 41454414.

414454140 is a `hidden beast` number, since 41 + 44 + 541 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414454141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151082 + ... + 1151441.

It is an arithmetic number, because the mean of its divisors is an integer number (34921614).

Almost surely, 2414454140 is an apocalyptic number.

It is an amenable number.

414454140 is an abundant number, since it is smaller than the sum of its proper divisors (842723964).

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

414454140 is a wasteful number, since it uses less digits than its factorization.

414454140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302538 (or 2302533 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 414454140 is about 20358.1467722384. The cubic root of 414454140 is about 745.5764138092.

The spelling of 414454140 in words is "four hundred fourteen million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2302523 4605046 6907569 9210092 11512615 13815138 20722707 23025230 27630276 34537845 41445414 46050460 69075690 82890828 103613535 138151380 207227070 414454140