Search a number
-
+
40144011432 = 23372039117191
BaseRepresentation
bin100101011000110001…
…010000000010101000
310211121201001002001020
4211120301100002220
51124203331331212
630235241252440
72620543316130
oct453061200250
9124551032036
1040144011432
111603027aa58
127944194120
133a29b65725
141d2b777ac0
15109e481d8c
hex958c500a8

40144011432 has 64 divisors (see below), whose sum is σ = 114754406400. Its totient is φ = 11463994560.

The previous prime is 40144011421. The next prime is 40144011449. The reversal of 40144011432 is 23411044104.

It is a super-2 number, since 2×401440114322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283957 + ... + 401147.

It is an arithmetic number, because the mean of its divisors is an integer number (1793037600).

Almost surely, 240144011432 is an apocalyptic number.

40144011432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40144011432 is an abundant number, since it is smaller than the sum of its proper divisors (74610394968).

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

40144011432 is a wasteful number, since it uses less digits than its factorization.

40144011432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119246 (or 119242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40144011432 its reverse (23411044104), we get a palindrome (63555055536).

The spelling of 40144011432 in words is "forty billion, one hundred forty-four million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2039 4078 6117 8156 12234 14273 16312 24468 28546 42819 48936 57092 85638 114184 117191 171276 234382 342552 351573 468764 703146 820337 937528 1406292 1640674 2461011 2812584 3281348 4922022 6562696 9844044 19688088 238952449 477904898 716857347 955809796 1433714694 1672667143 1911619592 2867429388 3345334286 5018001429 5734858776 6690668572 10036002858 13381337144 20072005716 40144011432