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40424122413 = 333716321523
BaseRepresentation
bin100101101001011101…
…110010100000101101
310212100020010012002000
4211221131302200231
51130242033404123
630323125122513
72630514241203
oct455135624055
9125306105060
1040424122413
11161643aa534
127a01b59439
133a72bbb77c
141d56a51073
1510b8d62b43
hex96977282d

40424122413 has 48 divisors (see below), whose sum is σ = 61926459840. Its totient is φ = 26043075936.

The previous prime is 40424122369. The next prime is 40424122439. The reversal of 40424122413 is 31422142404.

40424122413 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 412 + 241 + 3 = 666.

40424122413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40424122413 - 234 = 23244253229 is a prime.

It is a super-2 number, since 2×404241224132 (a number of 22 digits) contains 22 as substring.

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 (40424122483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26541670 + ... + 26543192.

It is an arithmetic number, because the mean of its divisors is an integer number (1290134580).

Almost surely, 240424122413 is an apocalyptic number.

It is an amenable number.

40424122413 is a deficient number, since it is larger than the sum of its proper divisors (21502337427).

40424122413 is a wasteful number, since it uses less digits than its factorization.

40424122413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40424122413 its reverse (31422142404), we get a palindrome (71846264817).

The spelling of 40424122413 in words is "forty billion, four hundred twenty-four million, one hundred twenty-two thousand, four hundred thirteen".

Divisors: 1 3 9 27 37 111 163 333 489 999 1467 1523 4401 4569 6031 13707 18093 26569 41121 54279 56351 79707 162837 169053 239121 248249 507159 717363 744747 983053 1521477 2234241 2949159 6702723 8847477 9185213 26542431 27555639 40464587 82666917 121393761 248000751 364181283 1092543849 1497189719 4491569157 13474707471 40424122413