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40303422430304 = 2511432662752539
BaseRepresentation
bin10010010100111110111110…
…01011010101110001100000
312021200222011210202111211112
421022133133023111301200
520240312402120232204
6221415045304002452
711326553244124115
oct1112373713256140
9167628153674745
1040303422430304
1111929649287970
12462b0a6760428
13196479a473857
149d49a5d8690c
1549d5b7ab426e
hex24a7df2d5c60

40303422430304 has 48 divisors (see below), whose sum is σ = 88573800490560. Its totient is φ = 17893697055360.

The previous prime is 40303422430301. The next prime is 40303422430351.

40303422430304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40303422430301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331361134 + ... + 1331391405.

It is an arithmetic number, because the mean of its divisors is an integer number (1845287510220).

Almost surely, 240303422430304 is an apocalyptic number.

40303422430304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40303422430304 is an abundant number, since it is smaller than the sum of its proper divisors (48270378060256).

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

40303422430304 is a wasteful number, since it uses less digits than its factorization.

40303422430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662752603 (or 2662752595 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 4030342 and 2430304, that added together give a palindrome (6460646).

The spelling of 40303422430304 in words is "forty trillion, three hundred three billion, four hundred twenty-two million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 2662752539 5325505078 10651010156 21302020312 29290277929 42604040624 58580555858 85208081248 114498359177 117161111716 228996718354 234322223432 457993436708 468644446864 915986873416 937288893728 1259481950947 1831973746832 2518963901894 3663947493664 5037927803788 10075855607576 20151711215152 40303422430304