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40302168516 = 22341925872
BaseRepresentation
bin100101100010001100…
…100100100111000100
310212000201122021210000
4211202030210213010
51130014323343031
630303051201300
72624503531401
oct454214444704
9125021567700
1040302168516
1116101583795
127989146230
133a5385c3bc
141d447872a8
1510ad2c33e6
hex9623249c4

40302168516 has 135 divisors (see below), whose sum is σ = 111384579999. Its totient is φ = 12705319152.

The previous prime is 40302168503. The next prime is 40302168523. The reversal of 40302168516 is 61586120304.

It is a happy number.

The square root of 40302168516 is 200754.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68657575 + ... + 68658161.

Almost surely, 240302168516 is an apocalyptic number.

40302168516 is the 200754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40302168516

40302168516 is an abundant number, since it is smaller than the sum of its proper divisors (71082411483).

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

40302168516 is an equidigital number, since it uses as much as digits as its factorization.

40302168516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 40302168516 by its sum of digits (36), we get a square (1450878066576 = 12045242).

40302168516 divided by its sum of digits (36) gives a square (1119504681 = 334592).

The spelling of 40302168516 in words is "forty billion, three hundred two million, one hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 587 684 722 1026 1083 1174 1444 1539 1761 2052 2166 2348 3078 3249 3522 4332 5283 6156 6498 7044 9747 10566 11153 12996 15849 19494 21132 22306 29241 31698 33459 38988 44612 47547 58482 63396 66918 95094 100377 116964 133836 190188 200754 211907 301131 344569 401508 423814 602262 635721 689138 847628 903393 1033707 1204524 1271442 1378276 1806786 1907163 2067414 2542884 3101121 3613572 3814326 4134828 5721489 6202242 6546811 7628652 9303363 11442978 12404484 13093622 17164467 18606726 19640433 22885956 26187244 27910089 34328934 37213452 39280866 55820178 58921299 68657868 78561732 111640356 117842598 124389409 176763897 235685196 248778818 353527794 373168227 497557636 530291691 707055588 746336454 1060583382 1119504681 1492672908 2121166764 2239009362 3358514043 4478018724 6717028086 10075542129 13434056172 20151084258 40302168516