Search a number
-
+
42027134160 = 24351179201511
BaseRepresentation
bin100111001001000000…
…110010110011010000
311000110221110121210110
4213021000302303100
51142032421243120
631150151201320
73015320513634
oct471100626320
9130427417713
1042027134160
1116907248a30
12818a976240
133c6a03a32b
1420698cadc4
15115e9592e0
hex9c9032cd0

42027134160 has 160 divisors (see below), whose sum is σ = 143927930880. Its totient is φ = 10059379200.

The previous prime is 42027134143. The next prime is 42027134179. The reversal of 42027134160 is 6143172024.

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

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, 107805 + ... + 309315.

It is an arithmetic number, because the mean of its divisors is an integer number (899549568).

Almost surely, 242027134160 is an apocalyptic number.

42027134160 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 42027134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71963965440).

42027134160 is an abundant number, since it is smaller than the sum of its proper divisors (101900796720).

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

42027134160 is a wasteful number, since it uses less digits than its factorization.

42027134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201617 (or 201611 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 42027134160 in words is "forty-two billion, twenty-seven million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 330 395 440 474 528 632 660 790 869 880 948 1185 1264 1320 1580 1738 1896 2370 2607 2640 3160 3476 3792 4345 4740 5214 6320 6952 8690 9480 10428 13035 13904 17380 18960 20856 26070 34760 41712 52140 69520 104280 201511 208560 403022 604533 806044 1007555 1209066 1612088 2015110 2216621 2418132 3022665 3224176 4030220 4433242 4836264 6045330 6649863 8060440 8866484 9672528 11083105 12090660 13299726 15919369 16120880 17732968 22166210 24181320 26599452 31838738 33249315 35465936 44332420 47758107 48362640 53198904 63677476 66498630 79596845 88664840 95516214 106397808 127354952 132997260 159193690 175113059 177329680 191032428 238790535 254709904 265994520 318387380 350226118 382064856 477581070 525339177 531989040 636774760 700452236 764129712 875565295 955162140 1050678354 1273549520 1400904472 1751130590 1910324280 2101356708 2626695885 2801808944 3502261180 3820648560 4202713416 5253391770 7004522360 8405426832 10506783540 14009044720 21013567080 42027134160