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40212353502 = 23319214318289
BaseRepresentation
bin100101011100110101…
…111101000111011110
310211210110122012202000
4211130311331013132
51124323330303002
630250122143130
72622333236136
oct453465750736
9124713565660
1040212353502
1116065909402
127963051aa6
133a3b073719
141d36887ac6
1510a548161c
hex95cd7d1de

40212353502 has 64 divisors (see below), whose sum is σ = 94113024000. Its totient is φ = 12692018304.

The previous prime is 40212353479. The next prime is 40212353509. The reversal of 40212353502 is 20535321204.

It is a happy number.

40212353502 is a `hidden beast` number, since 4 + 0 + 2 + 123 + 535 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212353509) 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, 2189574 + ... + 2207862.

It is an arithmetic number, because the mean of its divisors is an integer number (1470516000).

Almost surely, 240212353502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212353502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056512000).

40212353502 is an abundant number, since it is smaller than the sum of its proper divisors (53900670498).

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

40212353502 is a wasteful number, since it uses less digits than its factorization.

40212353502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40212353502 its reverse (20535321204), we get a palindrome (60747674706).

It can be divided in two parts, 402123 and 53502, that added together give a square (455625 = 6752).

The spelling of 40212353502 in words is "forty billion, two hundred twelve million, three hundred fifty-three thousand, five hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2143 4286 6429 12858 18289 19287 36578 38574 40717 54867 57861 81434 109734 115722 122151 164601 244302 329202 347491 366453 493803 694982 732906 987606 1042473 1099359 2084946 2198718 3127419 6254838 9382257 18764514 39193327 78386654 117579981 235159962 352739943 705479886 744673213 1058219829 1489346426 2116439658 2234019639 4468039278 6702058917 13404117834 20106176751 40212353502