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40211201142 = 2387262539
BaseRepresentation
bin100101011100110001…
…100011110001110110
310211210101110200000000
4211130301203301312
51124323031414032
630250041332130
72622320366400
oct453461436166
9124711420000
1040211201142
11160651a1642
127962797046
133a3aa5c058
141d36667b70
1510a5304e7c
hex95cc63c76

40211201142 has 108 divisors (see below), whose sum is σ = 105242999940. Its totient is φ = 11488730904.

The previous prime is 40211201119. The next prime is 40211201153. The reversal of 40211201142 is 24110211204.

40211201142 is a `hidden beast` number, since 402 + 1 + 120 + 1 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 611709 + ... + 674247.

Almost surely, 240211201142 is an apocalyptic number.

40211201142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40211201142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52621499970).

40211201142 is an abundant number, since it is smaller than the sum of its proper divisors (65031798798).

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

40211201142 is an frugal number, since it uses more digits than its factorization.

40211201142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62579 (or 62551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40211201142 its reverse (24110211204), we get a palindrome (64321412346).

The spelling of 40211201142 in words is "forty billion, two hundred eleven million, two hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2187 2646 3402 3969 4374 5103 6561 7938 10206 11907 13122 15309 23814 30618 35721 45927 62539 71442 91854 107163 125078 187617 214326 321489 375234 437773 562851 642978 875546 1125702 1313319 1688553 2626638 3064411 3377106 3939957 5065659 6128822 7879914 9193233 10131318 11819871 15196977 18386466 23639742 27579699 30393954 35459613 45590931 55159398 70919226 82739097 91181862 106378839 136772793 165478194 212757678 248217291 273545586 319136517 410318379 496434582 638273034 744651873 820636758 957409551 1489303746 1914819102 2233955619 2872228653 4467911238 5744457306 6701866857 13403733714 20105600571 40211201142