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4132001446540 = 2251117264989013
BaseRepresentation
bin111100001000001110011…
…110100111101010001100
3112122000102021200222001121
4330020032132213222030
51020144314332242130
612442114255050324
7604345563535432
oct74101636475214
915560367628047
104132001446540
111353410106150
12568986b109a4
1323c852532b56
14103dc055cd52
15727398b9d7a
hex3c20e7a7a8c

4132001446540 has 72 divisors (see below), whose sum is σ = 10055620158192. Its totient is φ = 1414160901120.

The previous prime is 4132001446519. The next prime is 4132001446553. The reversal of 4132001446540 is 456441002314.

4132001446540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4132001446496 and 4132001446505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32430927 + ... + 32558086.

It is an arithmetic number, because the mean of its divisors is an integer number (139661391086).

Almost surely, 24132001446540 is an apocalyptic number.

It is an amenable number.

4132001446540 is an abundant number, since it is smaller than the sum of its proper divisors (5923618711652).

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

4132001446540 is a wasteful number, since it uses less digits than its factorization.

4132001446540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64989067 (or 64989048 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 4132001446540 its reverse (456441002314), we get a palindrome (4588442448854).

The spelling of 4132001446540 in words is "four trillion, one hundred thirty-two billion, one million, four hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31790 63580 64989013 129978026 259956052 324945065 649890130 714879143 1104813221 1299780260 1429758286 2209626442 2859516572 3574395715 4419252884 5524066105 7148791430 11048132210 12152945431 14297582860 18781824757 22096264420 24305890862 37563649514 48611781724 60764727155 75127299028 93909123785 121529454310 187818247570 206600072327 243058908620 375636495140 413200144654 826400289308 1033000361635 2066000723270 4132001446540