Search a number
-
+
42023667981 = 31959110311329
BaseRepresentation
bin100111001000110011…
…100100100100001101
311000110200221112002110
4213020303210210031
51142031024333411
631145545014233
73015246166311
oct471063444415
9130420845073
1042023667981
11169052a0819
128189784379
133c693c5739
142069267b41
15115e4c22a6
hex9c8ce490d

42023667981 has 32 divisors (see below), whose sum is σ = 60039936000. Its totient is φ = 26065456128.

The previous prime is 42023667967. The next prime is 42023667991. The reversal of 42023667981 is 18976632024.

It is not a de Polignac number, because 42023667981 - 25 = 42023667949 is a prime.

It is a super-2 number, since 2×420236679812 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 42023667981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023667991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703725 + ... + 3715053.

It is an arithmetic number, because the mean of its divisors is an integer number (1876248000).

Almost surely, 242023667981 is an apocalyptic number.

It is an amenable number.

42023667981 is a deficient number, since it is larger than the sum of its proper divisors (18016268019).

42023667981 is a wasteful number, since it uses less digits than its factorization.

42023667981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513.

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 42023667981 in words is "forty-two billion, twenty-three million, six hundred sixty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 19 57 59 177 1103 1121 3309 3363 11329 20957 33987 62871 65077 195231 215251 645753 668411 1236463 2005233 3709389 12495887 12699809 37487661 38099427 237421853 712265559 737257333 2211771999 14007889327 42023667981