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1431419240 = 2351571931181
BaseRepresentation
bin101010101010001…
…1011100101101000
310200202110122001102
41111110123211220
510412420403430
6354012140532
750320601636
oct12524334550
93622418042
101431419240
11674aa9509
1233b467748
1319a72c744
14d8170356
15859ee345
hex5551b968

1431419240 has 64 divisors (see below), whose sum is σ = 3260759760. Its totient is φ = 565493760.

The previous prime is 1431419239. The next prime is 1431419267. The reversal of 1431419240 is 429141341.

1431419240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 621106084 + 810313156 = 24922^2 + 28466^2 .

It is a super-2 number, since 2×14314192402 = 4097922081284355200, which contains 22 as substring.

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, 1211450 + ... + 1212630.

Almost surely, 21431419240 is an apocalyptic number.

1431419240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431419240 is an abundant number, since it is smaller than the sum of its proper divisors (1829340520).

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

1431419240 is a wasteful number, since it uses less digits than its factorization.

1431419240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1431419240 is about 37834.1015487351. The cubic root of 1431419240 is about 1126.9957634065.

The spelling of 1431419240 in words is "one billion, four hundred thirty-one million, four hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 193 314 386 628 772 785 965 1181 1256 1544 1570 1930 2362 3140 3860 4724 5905 6280 7720 9448 11810 23620 30301 47240 60602 121204 151505 185417 227933 242408 303010 370834 455866 606020 741668 911732 927085 1139665 1212040 1483336 1823464 1854170 2279330 3708340 4558660 7416680 9117320 35785481 71570962 143141924 178927405 286283848 357854810 715709620 1431419240