Search a number
-
+
1420451597929 = 7413218712
BaseRepresentation
bin10100101010111001100…
…000110100111001101001
312000210102201021121121211
4110222321200310321221
5141233041102113204
63004314011233121
7204424054240000
oct24527140647151
95023381247554
101420451597929
114a8456994541
121ab3624487a1
13a3c42a1a900
144ca70887c37
1526e38882804
hex14ab9834e69

1420451597929 has 45 divisors (see below), whose sum is σ = 1795328621079. Its totient is φ = 1123273110960.

The previous prime is 1420451597911. The next prime is 1420451597941. The reversal of 1420451597929 is 9297951540241.

The square root of 1420451597929 is 1191827.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 210125976025 + 1210325621904 = 458395^2 + 1100148^2 .

It is not a de Polignac number, because 1420451597929 - 219 = 1420451073641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1420451597989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 759192864 + ... + 759194734.

Almost surely, 21420451597929 is an apocalyptic number.

1420451597929 is the 1191827-th square number.

1420451597929 is the 595914-th centered octagonal number.

It is an amenable number.

1420451597929 is a deficient number, since it is larger than the sum of its proper divisors (374877023150).

1420451597929 is an frugal number, since it uses more digits than its factorization.

1420451597929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 1420451597929 in words is "one trillion, four hundred twenty billion, four hundred fifty-one million, five hundred ninety-seven thousand, nine hundred twenty-nine".

Divisors: 1 7 13 49 91 169 343 637 1183 1871 2401 4459 8281 13097 24323 31213 57967 91679 170261 316199 405769 641753 1191827 2213393 3500641 4492271 8342789 15493751 24504487 45508333 58399523 108456257 171531409 318558331 591608329 759193799 1200719863 2229908317 4141258303 8405039041 15609358219 28988808121 109265507533 202921656847 1420451597929