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40221126132 = 223111729696037
BaseRepresentation
bin100101011101010111…
…011010110111110100
310211211002010220112020
4211131113122313310
51124333102014012
630251034153140
72622500634255
oct453527326764
9124732126466
1040221126132
111606a860410
127965b827b0
133a3cb25725
141d37accb2c
1510a6115a8c
hex95d5dadf4

40221126132 has 96 divisors (see below), whose sum is σ = 108457937280. Its totient is φ = 11465502720.

The previous prime is 40221126109. The next prime is 40221126133. The reversal of 40221126132 is 23162112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221126133) 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, 6659418 + ... + 6665454.

It is an arithmetic number, because the mean of its divisors is an integer number (1129770180).

Almost surely, 240221126132 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 40221126132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54228968640).

40221126132 is an abundant number, since it is smaller than the sum of its proper divisors (68236811148).

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

40221126132 is a wasteful number, since it uses less digits than its factorization.

40221126132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 40221126132 its reverse (23162112204), we get a palindrome (63383238336).

The spelling of 40221126132 in words is "forty billion, two hundred twenty-one million, one hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 2969 5938 6037 8907 11876 12074 17814 18111 24148 32659 35628 36222 50473 65318 66407 72444 97977 100946 102629 130636 132814 151419 195954 199221 201892 205258 265628 302838 307887 391908 398442 410516 555203 605676 615774 796884 1110406 1128919 1231548 1665609 2220812 2257838 3331218 3386757 4515676 6662436 6773514 13547028 17923853 35847706 53771559 71695412 107543118 197162383 215086236 304705501 394324766 591487149 609411002 788649532 914116503 1182974298 1218822004 1828233006 2365948596 3351760511 3656466012 6703521022 10055281533 13407042044 20110563066 40221126132