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419004020240 = 24513402888481
BaseRepresentation
bin1100001100011101001…
…01011111011000010000
31111001112002222121212022
412012032211133120100
523331110012121430
6520253210151012
742162211256561
oct6061645373020
91431462877768
10419004020240
11151775934053
1269257722468
1330686885930
14163cc0a6168
15ad74ec94e5
hex618e95f610

419004020240 has 40 divisors (see below), whose sum is σ = 1049121607128. Its totient is φ = 154709176320.

The previous prime is 419004020189. The next prime is 419004020269. The reversal of 419004020240 is 42020400914.

It can be written as a sum of positive squares in 4 ways, for example, as 14716601344 + 404287418896 = 121312^2 + 635836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201443201 + ... + 201445280.

Almost surely, 2419004020240 is an apocalyptic number.

419004020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419004020240 is an abundant number, since it is smaller than the sum of its proper divisors (630117586888).

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

419004020240 is a wasteful number, since it uses less digits than its factorization.

419004020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402888507 (or 402888501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 419004020240 in words is "four hundred nineteen billion, four million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 402888481 805776962 1611553924 2014442405 3223107848 4028884810 5237550253 6446215696 8057769620 10475100506 16115539240 20950201012 26187751265 32231078480 41900402024 52375502530 83800804048 104751005060 209502010120 419004020240