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40456420172 = 2272312214787
BaseRepresentation
bin100101101011011000…
…111111101101001100
310212102110220002021022
4211223120333231030
51130323320421142
630330241253312
72631355616600
oct455330775514
9125373802238
1040456420172
111618065a2a3
127a10934238
133a797b957c
141d5b05b500
1510bbae26d2
hex96b63fb4c

40456420172 has 54 divisors (see below), whose sum is σ = 85100509116. Its totient is φ = 16779082320.

The previous prime is 40456420163. The next prime is 40456420177. The reversal of 40456420172 is 27102465404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40456420177) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80963 + ... + 295749.

It is an arithmetic number, because the mean of its divisors is an integer number (1575935354).

Almost surely, 240456420172 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 40456420172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42550254558).

40456420172 is an abundant number, since it is smaller than the sum of its proper divisors (44644088944).

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

40456420172 is a wasteful number, since it uses less digits than its factorization.

40456420172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214867 (or 214827 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 40456420172 its reverse (27102465404), we get a palindrome (67558885576).

The spelling of 40456420172 in words is "forty billion, four hundred fifty-six million, four hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1519 1922 3038 3844 6076 6727 13454 26908 47089 94178 188356 214787 429574 859148 1503509 3007018 6014036 6658397 10524563 13316794 21049126 26633588 42098252 46608779 93217558 186435116 206410307 326261453 412820614 652522906 825641228 1305045812 1444872149 2889744298 5779488596 10114105043 20228210086 40456420172