Search a number
-
+
4014302303040 = 263536311151629
BaseRepresentation
bin111010011010100111000…
…100000001001101000000
3112012202121121222222022120
4322122213010001031000
51011232242342144130
612312051154004240
7563011103402451
oct72324704011500
915182547888276
104014302303040
111308501aa7627
12549bb9876680
13231715c30743
14dc416a29128
156e64b904910
hex3a6a7101340

4014302303040 has 112 divisors (see below), whose sum is σ = 12748931047680. Its totient is φ = 1070184867840.

The previous prime is 4014302303009. The next prime is 4014302303041. The reversal of 4014302303040 is 403032034104.

It is a super-2 number, since 2×40143023030402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4014302303040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014302303041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909946 + ... + 4061574.

Almost surely, 24014302303040 is an apocalyptic number.

4014302303040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014302303040 is an abundant number, since it is smaller than the sum of its proper divisors (8734628744640).

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

4014302303040 is a wasteful number, since it uses less digits than its factorization.

4014302303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155280 (or 1155270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4014302303040 its reverse (403032034104), we get a palindrome (4417334337144).

The spelling of 4014302303040 in words is "four trillion, fourteen billion, three hundred two million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3631 7262 10893 14524 18155 21786 29048 36310 43572 54465 58096 72620 87144 108930 116192 145240 174288 217860 232384 290480 348576 435720 580960 697152 871440 1151629 1161920 1742880 2303258 3454887 3485760 4606516 5758145 6909774 9213032 11516290 13819548 17274435 18426064 23032580 27639096 34548870 36852128 46065160 55278192 69097740 73704256 92130320 110556384 138195480 184260640 221112768 276390960 368521280 552781920 1105563840 4181564899 8363129798 12544694697 16726259596 20907824495 25089389394 33452519192 41815648990 50178778788 62723473485 66905038384 83631297980 100357557576 125446946970 133810076768 167262595960 200715115152 250893893940 267620153536 334525191920 401430230304 501787787880 669050383840 802860460608 1003575575760 1338100767680 2007151151520 4014302303040