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40101420432 = 24312749913183
BaseRepresentation
bin100101010110001110…
…110001110110010000
310211111201220020011210
4211112032301312100
51124111430423212
630231120340120
72616515310123
oct452616616620
9124451806153
1040101420432
111600922a787
127931a74640
133a210a2758
141d25c4c3ba
15109a86c53c
hex9563b1d90

40101420432 has 80 divisors (see below), whose sum is σ = 104628224000. Its totient is φ = 13234306176.

The previous prime is 40101420407. The next prime is 40101420449. The reversal of 40101420432 is 23402410104.

It is a junction number, because it is equal to n+sod(n) for n = 40101420399 and 40101420408.

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 15 ways as a sum of consecutive naturals, for example, 3035313 + ... + 3048495.

It is an arithmetic number, because the mean of its divisors is an integer number (1307852800).

Almost surely, 240101420432 is an apocalyptic number.

It is an amenable number.

40101420432 is an abundant number, since it is smaller than the sum of its proper divisors (64526803568).

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

40101420432 is a wasteful number, since it uses less digits than its factorization.

40101420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40101420432 its reverse (23402410104), we get a palindrome (63503830536).

The spelling of 40101420432 in words is "forty billion, one hundred one million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 499 508 762 998 1016 1497 1524 1996 2032 2994 3048 3992 5988 6096 7984 11976 13183 23952 26366 39549 52732 63373 79098 105464 126746 158196 190119 210928 253492 316392 380238 506984 632784 760476 1013968 1520952 1674241 3041904 3348482 5022723 6578317 6696964 10045446 13156634 13393928 19734951 20090892 26313268 26787856 39469902 40181784 52626536 78939804 80363568 105253072 157879608 315759216 835446259 1670892518 2506338777 3341785036 5012677554 6683570072 10025355108 13367140144 20050710216 40101420432