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1450046142 = 2321931233587
BaseRepresentation
bin101011001101101…
…1111001010111110
310202001111222100200
41112123133022332
510432202434032
6355515304330
750635121526
oct12633371276
93661458320
101450046142
11684571146
1234574b0a6
131a1551b8c
14da81c686
158747d47c
hex566df2be

1450046142 has 96 divisors (see below), whose sum is σ = 3434296320. Its totient is φ = 440484480.

The previous prime is 1450046141. The next prime is 1450046153. The reversal of 1450046142 is 2416400541.

1450046142 is a `hidden beast` number, since 1 + 45 + 0 + 0 + 4 + 614 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450046141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2469973 + ... + 2470559.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 21450046142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450046142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

1450046142 is an abundant number, since it is smaller than the sum of its proper divisors (1984250178).

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

1450046142 is a wasteful number, since it uses less digits than its factorization.

1450046142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1450046142 is about 38079.4713986421. The cubic root of 1450046142 is about 1131.8632017845.

Adding to 1450046142 its reverse (2416400541), we get a palindrome (3866446683).

The spelling of 1450046142 in words is "one billion, four hundred fifty million, forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 233 279 342 466 558 587 589 699 1174 1178 1398 1761 1767 2097 3522 3534 4194 4427 5283 5301 7223 8854 10566 10602 11153 13281 14446 18197 21669 22306 26562 33459 36394 39843 43338 54591 65007 66918 79686 100377 109182 130014 136771 137237 163773 200754 273542 274474 327546 345743 410313 411711 691486 820626 823422 1037229 1230939 1235133 2074458 2461878 2470266 2598649 3111687 4239901 5197298 6223374 7795947 8479802 12719703 15591894 23387841 25439406 38159109 46775682 76318218 80558119 161116238 241674357 483348714 725023071 1450046142