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40070481792 = 2731114963667
BaseRepresentation
bin100101010100011000…
…110000011110000000
310211102120200101100020
4211110120300132000
51124031020404132
630224053253440
72615661322035
oct452430603600
9124376611306
1040070481792
1115aa2819060
127923634280
133a1785c473
141d21ab738c
151097caa52c
hex954630780

40070481792 has 128 divisors (see below), whose sum is σ = 116894448000. Its totient is φ = 12060887040.

The previous prime is 40070481769. The next prime is 40070481809. The reversal of 40070481792 is 29718407004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×400704817922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597543 + ... + 661209.

It is an arithmetic number, because the mean of its divisors is an integer number (913237875).

Almost surely, 240070481792 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 40070481792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58447224000).

40070481792 is an abundant number, since it is smaller than the sum of its proper divisors (76823966208).

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

40070481792 is a wasteful number, since it uses less digits than its factorization.

40070481792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63844 (or 63832 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

Adding to 40070481792 its reverse (29718407004), we get a palindrome (69788888796).

The spelling of 40070481792 in words is "forty billion, seventy million, four hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 264 298 352 384 447 528 596 704 894 1056 1192 1408 1639 1788 2112 2384 3278 3576 4224 4768 4917 6556 7152 9536 9834 13112 14304 19072 19668 26224 28608 39336 52448 57216 63667 78672 104896 127334 157344 191001 209792 254668 314688 382002 509336 629376 700337 764004 1018672 1400674 1528008 2037344 2101011 2801348 3056016 4074688 4202022 5602696 6112032 8149376 8404044 9486383 11205392 12224064 16808088 18972766 22410784 24448128 28459149 33616176 37945532 44821568 56918298 67232352 75891064 89643136 104350213 113836596 134464704 151782128 208700426 227673192 268929408 303564256 313050639 417400852 455346384 607128512 626101278 834801704 910692768 1214257024 1252202556 1669603408 1821385536 2504405112 3339206816 3642771072 5008810224 6678413632 10017620448 13356827264 20035240896 40070481792