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32011203140 = 225721033071033
BaseRepresentation
bin11101110100000001…
…000011001001000100
310001121220201121102022
4131310001003021010
51011024332000030
622412235102312
72212160510600
oct356401031104
9101556647368
1032011203140
1112637542794
1262545a1998
133031c62827
1417995bc500
15c754a0de5
hex774043244

32011203140 has 144 divisors (see below), whose sum is σ = 79291884672. Its totient is φ = 10822823424.

The previous prime is 32011203113. The next prime is 32011203151. The reversal of 32011203140 is 4130211023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30988064 + ... + 30989096.

It is an arithmetic number, because the mean of its divisors is an integer number (550638088).

Almost surely, 232011203140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32011203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39645942336).

32011203140 is an abundant number, since it is smaller than the sum of its proper divisors (47280681532).

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

32011203140 is a wasteful number, since it uses less digits than its factorization.

32011203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 32011203140 its reverse (4130211023), we get a palindrome (36141414163).

The spelling of 32011203140 in words is "thirty-two billion, eleven million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 307 412 490 515 614 721 980 1030 1033 1228 1442 1535 2060 2066 2149 2884 3070 3605 4132 4298 5047 5165 6140 7210 7231 8596 10094 10330 10745 14420 14462 15043 20188 20660 21490 25235 28924 30086 31621 36155 42980 50470 50617 60172 63242 72310 75215 100940 101234 106399 126484 144620 150430 158105 202468 212798 221347 253085 300860 316210 317131 425596 442694 506170 531995 632420 634262 744793 885388 1012340 1063990 1106735 1268524 1489586 1549429 1585655 2127980 2213470 2219917 2979172 3098858 3171310 3723965 4426940 4439834 5213551 6197716 6342620 7447930 7747145 8879668 10427102 11099585 14895860 15494290 15539419 20854204 22199170 26067755 30988580 31078838 32664493 44398340 52135510 62157676 65328986 77697095 104271020 130657972 155394190 163322465 228651451 310788380 326644930 457302902 653289860 914605804 1143257255 1600560157 2286514510 3201120314 4573029020 6402240628 8002800785 16005601570 32011203140