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40142207070324 = 2233977275270737
BaseRepresentation
bin10010010000010010101011…
…11111100011000001110100
312021010120001102121200101000
421020021111333203001310
520230142220002222244
6221213024135203300
711312115212150262
oct1110112577430164
9167116042550330
1040142207070324
111187723a427877
1246039b3b16530
131952517495318
149cac70ca5432
154992ce5a5169
hex248255fe3074

40142207070324 has 96 divisors (see below), whose sum is σ = 105289948924160. Its totient is φ = 13224571785216.

The previous prime is 40142207070323. The next prime is 40142207070341. The reversal of 40142207070324 is 42307070224104.

40142207070324 is a `hidden beast` number, since 40 + 1 + 4 + 220 + 7 + 0 + 70 + 324 = 666.

It is a super-2 number, since 2×401422070703242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142207070323) 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, 4980684 + ... + 10251420.

Almost surely, 240142207070324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142207070324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52644974462080).

40142207070324 is an abundant number, since it is smaller than the sum of its proper divisors (65147741853836).

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

40142207070324 is a wasteful number, since it uses less digits than its factorization.

40142207070324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271574 (or 5271566 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 40142207070324 its reverse (42307070224104), we get a palindrome (82449277294428).

The spelling of 40142207070324 in words is "forty trillion, one hundred forty-two billion, two hundred seven million, seventy thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 727 873 1164 1454 1746 2181 2619 2908 3492 4362 5238 6543 8724 10476 13086 19629 26172 39258 70519 78516 141038 211557 282076 423114 634671 846228 1269342 1904013 2538684 3808026 5270737 7616052 10541474 15812211 21082948 31624422 47436633 63248844 94873266 142309899 189746532 284619798 511261489 569239596 1022522978 1533784467 2045045956 3067568934 3831825799 4601353401 6135137868 7663651598 9202706802 11495477397 13804060203 15327303196 18405413604 22990954794 27608120406 34486432191 45981909588 55216240812 68972864382 103459296573 137945728764 206918593146 371687102503 413837186292 743374205006 1115061307509 1486748410012 2230122615018 3345183922527 4460245230036 6690367845054 10035551767581 13380735690108 20071103535162 40142207070324