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40145443534300 = 225213971239125693
BaseRepresentation
bin10010010000011000101101…
…11001101011010111011100
312021010212101222121002022011
421020030112321223113130
520230220332021044200
6221214321232001004
711312261341510306
oct1110142671532734
9167125358532264
1040145443534300
1111878650316095
124604557990164
131952911b60070
149cb09aa62976
1549941d7a75ba
hex248316e6b5dc

40145443534300 has 144 divisors (see below), whose sum is σ = 94795335890752. Its totient is φ = 14668364390400.

The previous prime is 40145443534249. The next prime is 40145443534321. The reversal of 40145443534300 is 343534454104.

40145443534300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401454435343002 (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562492254 + ... + 1562517946.

Almost surely, 240145443534300 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 40145443534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47397667945376).

40145443534300 is an abundant number, since it is smaller than the sum of its proper divisors (54649892356452).

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

40145443534300 is a wasteful number, since it uses less digits than its factorization.

40145443534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38208 (or 38201 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 40145443534300 its reverse (343534454104), we get a palindrome (40488977988404).

The spelling of 40145443534300 in words is "forty trillion, one hundred forty-five billion, four hundred forty-three million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 4850 5044 6305 9700 12391 12610 24782 25220 25693 31525 49564 51386 61955 63050 102772 123910 126100 128465 161083 247820 256930 309775 322166 334009 513860 619550 642325 644332 668018 805415 1201927 1239100 1284650 1336036 1610830 1670045 2403854 2492221 2569300 3221660 3340090 4027075 4807708 4984442 6009635 6680180 8054150 8350225 9968884 12019270 12461105 15625051 16108300 16700450 24038540 24922210 30048175 31250102 32398873 33400900 49844420 60096350 62305525 62500204 64797746 78125255 120192700 124611050 129595492 156250510 161994365 249222100 312501020 318361963 323988730 390626275 636723926 647977460 781252550 809971825 1273447852 1562505100 1591809815 1619943650 3183619630 3239887300 4138705519 6367239260 7959049075 8277411038 15918098150 16554822076 20693527595 30881110411 31836196300 41387055190 61762220822 82774110380 103467637975 123524441644 154405552055 206935275950 308811104110 401454435343 413870551900 617622208220 772027760275 802908870686 1544055520550 1605817741372 2007272176715 3088111041100 4014544353430 8029088706860 10036360883575 20072721767150 40145443534300