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10141440032040 = 23353112721466091
BaseRepresentation
bin1001001110010011110011…
…1011100011110100101000
31022220111211101121100011120
42103210330323203310220
52312124132122011130
633322525131455240
72064460223646612
oct223447473436450
938814741540146
1010141440032040
11325aa62569589
12117958b8b7520
13587445174285
14270bc3acddb2
15128c072b5910
hex9393cee3d28

10141440032040 has 128 divisors (see below), whose sum is σ = 31653040619520. Its totient is φ = 2596538246400.

The previous prime is 10141440031991. The next prime is 10141440032099. The reversal of 10141440032040 is 4023004414101.

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 10141440032040.

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 31 ways as a sum of consecutive naturals, for example, 10260606 + ... + 11205485.

It is an arithmetic number, because the mean of its divisors is an integer number (247289379840).

Almost surely, 210141440032040 is an apocalyptic number.

10141440032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141440032040 is an abundant number, since it is smaller than the sum of its proper divisors (21511600587480).

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

10141440032040 is a wasteful number, since it uses less digits than its factorization.

10141440032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21466263 (or 21466259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10141440032040 its reverse (4023004414101), we get a palindrome (14164444446141).

The spelling of 10141440032040 in words is "ten trillion, one hundred forty-one billion, four hundred forty million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 127 155 186 248 254 310 372 381 465 508 620 635 744 762 930 1016 1240 1270 1524 1860 1905 2540 3048 3720 3810 3937 5080 7620 7874 11811 15240 15748 19685 23622 31496 39370 47244 59055 78740 94488 118110 157480 236220 472440 21466091 42932182 64398273 85864364 107330455 128796546 171728728 214660910 257593092 321991365 429321820 515186184 643982730 665448821 858643640 1287965460 1330897642 1996346463 2575930920 2661795284 2726193557 3327244105 3992692926 5323590568 5452387114 6654488210 7985385852 8178580671 9981732315 10904774228 13308976420 13630967785 15970771704 16357161342 19963464630 21809548456 26617952840 27261935570 32714322684 39926929260 40892903355 54523871140 65428645368 79853858520 81785806710 84512000267 109047742280 163571613420 169024000534 253536000801 327143226840 338048001068 422560001335 507072001602 676096002136 845120002670 1014144003204 1267680004005 1690240005340 2028288006408 2535360008010 3380480010680 5070720016020 10141440032040