Search a number
-
+
35412240540 = 22353146141299
BaseRepresentation
bin100000111110101110…
…111110100010011100
310101101221101012122110
4200332232332202130
51040011013144130
624133531114020
72362356035535
oct407656764234
9111357335573
1035412240540
11140223174a6
126a435a2910
13345475c8b1
1419dd17968c
15dc3d60ab0
hex83ebbe89c

35412240540 has 96 divisors (see below), whose sum is σ = 102577305600. Its totient is φ = 9118598400.

The previous prime is 35412240529. The next prime is 35412240607. The reversal of 35412240540 is 4504221453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35412240498 and 35412240507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836811 + ... + 878109.

It is an arithmetic number, because the mean of its divisors is an integer number (1068513600).

Almost surely, 235412240540 is an apocalyptic number.

35412240540 is a gapful number since it is divisible by the number (30) 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 35412240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288652800).

35412240540 is an abundant number, since it is smaller than the sum of its proper divisors (67165065060).

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

35412240540 is a wasteful number, since it uses less digits than its factorization.

35412240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41803 (or 41801 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 35412240540 its reverse (4504221453), we get a palindrome (39916461993).

The spelling of 35412240540 in words is "thirty-five billion, four hundred twelve million, two hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 461 465 620 922 930 1383 1844 1860 2305 2766 4610 5532 6915 9220 13830 14291 27660 28582 41299 42873 57164 71455 82598 85746 123897 142910 165196 171492 206495 214365 247794 285820 412990 428730 495588 619485 825980 857460 1238970 1280269 2477940 2560538 3840807 5121076 6401345 7681614 12802690 15363228 19038839 19204035 25605380 38077678 38408070 57116517 76155356 76816140 95194195 114233034 190388390 228466068 285582585 380776780 571165170 590204009 1142330340 1180408018 1770612027 2360816036 2951020045 3541224054 5902040090 7082448108 8853060135 11804080180 17706120270 35412240540