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40220101404 = 223272109209179
BaseRepresentation
bin100101011101010011…
…100000101100011100
310211211000012211212100
4211131103200230130
51124332321221104
630251000205100
72622456135600
oct453523405434
9124730184770
1040220101404
111606a22052a
127965769790
133a3c857192
141d37903500
1510a5eb2139
hex95d4e0b1c

40220101404 has 108 divisors (see below), whose sum is σ = 119351832600. Its totient is φ = 11385976896.

The previous prime is 40220101399. The next prime is 40220101447. The reversal of 40220101404 is 40410102204.

40220101404 is a `hidden beast` number, since 40 + 220 + 1 + 0 + 1 + 404 = 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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87687 + ... + 296865.

Almost surely, 240220101404 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 40220101404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59675916300).

40220101404 is an abundant number, since it is smaller than the sum of its proper divisors (79131731196).

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

40220101404 is a wasteful number, since it uses less digits than its factorization.

40220101404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209312 (or 209300 counting only the distinct ones).

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

Adding to 40220101404 its reverse (40410102204), we get a palindrome (80630203608).

The spelling of 40220101404 in words is "forty billion, two hundred twenty million, one hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 588 654 763 882 981 1308 1526 1764 1962 2289 3052 3924 4578 5341 6867 9156 10682 13734 16023 21364 27468 32046 48069 64092 96138 192276 209179 418358 627537 836716 1255074 1464253 1882611 2510148 2928506 3765222 4392759 5857012 7530444 8785518 10249771 13178277 17571036 20499542 22800511 26356554 30749313 40999084 45601022 52713108 61498626 68401533 91202044 92247939 122997252 136803066 159603577 184495878 205204599 273606132 319207154 368991756 410409198 478810731 638414308 820818396 957621462 1117225039 1436432193 1915242924 2234450078 2872864386 3351675117 4468900156 5745728772 6703350234 10055025351 13406700468 20110050702 40220101404