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132144132222240 = 2535299493112947
BaseRepresentation
bin11110000010111100110100…
…000011110110110100100000
3122022212212002210001122202020
4132002330310003312310200
5114310022140322102430
61145014102024421440
736556045532660145
oct3602746403666440
9568785083048666
10132144132222240
1139118014715956
12129a2502617880
1358971a4816058
14248bb4adac3cc
15104258ae39b10
hex782f340f6d20

132144132222240 has 96 divisors (see below), whose sum is σ = 430607603321280. Its totient is φ = 34023316798464.

The previous prime is 132144132222229. The next prime is 132144132222283. The reversal of 132144132222240 is 42222231441231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4746542554 + ... + 4746570393.

It is an arithmetic number, because the mean of its divisors is an integer number (4485495867930).

Almost surely, 2132144132222240 is an apocalyptic number.

132144132222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144132222240 is an abundant number, since it is smaller than the sum of its proper divisors (298463471099040).

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

132144132222240 is a wasteful number, since it uses less digits than its factorization.

132144132222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493112994 (or 9493112986 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 132144132222240 its reverse (42222231441231), we get a palindrome (174366363663471).

The spelling of 132144132222240 in words is "one hundred thirty-two trillion, one hundred forty-four billion, one hundred thirty-two million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 9493112947 18986225894 28479338841 37972451788 47465564735 56958677682 75944903576 94931129470 113917355364 142396694205 151889807152 189862258940 227834710728 275300275463 284793388410 303779614304 379724517880 455669421456 550600550926 569586776820 759449035760 825900826389 911338842912 1101201101852 1139173553640 1376501377315 1518898071520 1651801652778 2202402203704 2278347107280 2753002754630 3303603305556 4129504131945 4404804407408 4556694214560 5506005509260 6607206611112 8259008263890 8809608814816 11012011018520 13214413222224 16518016527780 22024022037040 26428826444448 33036033055560 44048044074080 66072066111120 132144132222240