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4140402904240 = 245131571691903
BaseRepresentation
bin111100010000000011001…
…111101000110010110000
3112122211002210112020101121
4330100003033220302300
51020314021120413430
612450024055312024
7605064021001261
oct74200317506260
915584083466347
104140402904240
111356a31554719
1256a53067b614
13240590ca7bb5
1410457a28a968
1572a7c265a7a
hex3c4033e8cb0

4140402904240 has 80 divisors (see below), whose sum is σ = 9716922648576. Its totient is φ = 1640638022400.

The previous prime is 4140402904207. The next prime is 4140402904301. The reversal of 4140402904240 is 424092040414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4140402904196 and 4140402904205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5638129 + ... + 6330031.

Almost surely, 24140402904240 is an apocalyptic number.

4140402904240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140402904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858461324288).

4140402904240 is an abundant number, since it is smaller than the sum of its proper divisors (5576519744336).

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

4140402904240 is a wasteful number, since it uses less digits than its factorization.

4140402904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692618 (or 692612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 4140402904240 its reverse (424092040414), we get a palindrome (4564494944654).

The spelling of 4140402904240 in words is "four trillion, one hundred forty billion, four hundred two million, nine hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 571 655 1048 1142 1310 2096 2284 2620 2855 4568 5240 5710 9136 10480 11420 22840 45680 74801 149602 299204 374005 598408 691903 748010 1196816 1383806 1496020 2767612 2992040 3459515 5535224 5984080 6919030 11070448 13838060 27676120 55352240 90639293 181278586 362557172 395076613 453196465 725114344 790153226 906392930 1450228688 1580306452 1812785860 1975383065 3160612904 3625571720 3950766130 6321225808 7251143440 7901532260 15803064520 31606129040 51755036303 103510072606 207020145212 258775181515 414040290424 517550363030 828080580848 1035100726060 2070201452120 4140402904240