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132332130020040 = 23352335878062877
BaseRepresentation
bin11110000101101011111001…
…100110100010101011001000
3122100112211100200002022001020
4132011223321212202223020
5114321112200241120130
61145240312525552440
736605452354616046
oct3605537146425310
9570484320068036
10132332130020040
113918a817560985
1212a12a2a715720
1358abb353ac222
142496ca305b396
1510473e0855e10
hex785af99a2ac8

132332130020040 has 128 divisors (see below), whose sum is σ = 399379503519360. Its totient is φ = 35077251774464.

The previous prime is 132332130019963. The next prime is 132332130020063. The reversal of 132332130020040 is 40020031233231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12381082 + ... + 20443958.

It is an arithmetic number, because the mean of its divisors is an integer number (3120152371245).

Almost surely, 2132332130020040 is an apocalyptic number.

132332130020040 is a gapful number since it is divisible by the number (10) 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 132332130020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199689751759680).

132332130020040 is an abundant number, since it is smaller than the sum of its proper divisors (267047373499320).

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

132332130020040 is a wasteful number, since it uses less digits than its factorization.

132332130020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063711 (or 8063707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132332130020040 its reverse (40020031233231), we get a palindrome (172352161253271).

The spelling of 132332130020040 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred thirty million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 587 699 932 1165 1174 1398 1761 1864 2330 2348 2796 2935 3495 3522 4660 4696 5592 5870 6990 7044 8805 9320 11740 13980 14088 17610 23480 27960 35220 70440 136771 273542 410313 547084 683855 820626 1094168 1367710 1641252 2051565 2735420 3282504 4103130 5470840 8062877 8206260 16125754 16412520 24188631 32251508 40314385 48377262 64503016 80628770 96754524 120943155 161257540 193509048 241886310 322515080 483772620 967545240 1878650341 3757300682 4732908799 5635951023 7514601364 9393251705 9465817598 11271902046 14198726397 15029202728 18786503410 18931635196 22543804092 23664543995 28179755115 28397452794 37573006820 37863270392 45087608184 47329087990 56359510230 56794905588 70993631985 75146013640 94658175980 112719020460 113589811176 141987263970 189316351960 225438040920 283974527940 567949055880 1102767750167 2205535500334 3308303250501 4411071000668 5513838750835 6616606501002 8822142001336 11027677501670 13233213002004 16541516252505 22055355003340 26466426004008 33083032505010 44110710006680 66166065010020 132332130020040