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4040114022 = 23271715112491
BaseRepresentation
bin1111000011001111…
…0011111101100110
3101102120012001112200
43300303303331212
531233232122042
61504521355330
7202055255040
oct36063637546
911376161480
104040114022
1117935a250a
12949038b46
134c5028119
142a47d6a90
15189a4ac4c
hexf0cf3f66

4040114022 has 96 divisors (see below), whose sum is σ = 10663570944. Its totient is φ = 1079136000.

The previous prime is 4040114017. The next prime is 4040114041. The reversal of 4040114022 is 2204110404.

It is a super-2 number, since 2×40401140222 = 32645042621522032968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4040113986 and 4040114004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317197 + ... + 329687.

It is an arithmetic number, because the mean of its divisors is an integer number (111078864).

Almost surely, 24040114022 is an apocalyptic number.

4040114022 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 4040114022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331785472).

4040114022 is an abundant number, since it is smaller than the sum of its proper divisors (6623456922).

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

4040114022 is a wasteful number, since it uses less digits than its factorization.

4040114022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4040114022 is about 63561.8912714214. The cubic root of 4040114022 is about 1592.6898317129.

Adding to 4040114022 its reverse (2204110404), we get a palindrome (6244224426).

The spelling of 4040114022 in words is "four billion, forty million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 151 153 238 302 306 357 453 714 906 1057 1071 1359 2114 2142 2567 2718 3171 5134 6342 7701 9513 12491 15402 17969 19026 23103 24982 35938 37473 46206 53907 74946 87437 107814 112419 161721 174874 212347 224838 262311 323442 424694 524622 637041 786933 1274082 1486429 1573866 1886141 1911123 2972858 3772282 3822246 4459287 5658423 8918574 11316846 13202987 13377861 16975269 26405974 26755722 32064397 33950538 39608961 64128794 79217922 96193191 118826883 192386382 224450779 237653766 288579573 448901558 577159146 673352337 1346704674 2020057011 4040114022