Search a number
-
+
132200440414440 = 233529127299123089
BaseRepresentation
bin11110000011110001010000…
…010010100100000011101000
3122100002020102222212012021020
4132003301100102210003220
5114311433000221230230
61145100013252412440
736563111103500616
oct3603612022440350
9570066388765236
10132200440414440
113913998a179092
12129b13b8017120
13589c5a945a388
14249076d4146b6
151043c844e3810
hex783c504a40e8

132200440414440 has 128 divisors (see below), whose sum is σ = 413507759616000. Its totient is φ = 33769800142848.

The previous prime is 132200440414433. The next prime is 132200440414447. The reversal of 132200440414440 is 44414044002231.

It is an interprime number because it is at equal distance from previous prime (132200440414433) and next prime (132200440414447).

It is not an unprimeable number, because it can be changed into a prime (132200440414447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149119585 + ... + 150003504.

It is an arithmetic number, because the mean of its divisors is an integer number (3230529372000).

Almost surely, 2132200440414440 is an apocalyptic number.

132200440414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132200440414440 is an abundant number, since it is smaller than the sum of its proper divisors (281307319201560).

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

132200440414440 is a wasteful number, since it uses less digits than its factorization.

132200440414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299123259 (or 299123255 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 132200440414440 its reverse (44414044002231), we get a palindrome (176614484416671).

The spelling of 132200440414440 in words is "one hundred thirty-two trillion, two hundred billion, four hundred forty million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 127 145 174 232 254 290 348 381 435 508 580 635 696 762 870 1016 1160 1270 1524 1740 1905 2540 3048 3480 3683 3810 5080 7366 7620 11049 14732 15240 18415 22098 29464 36830 44196 55245 73660 88392 110490 147320 220980 441960 299123089 598246178 897369267 1196492356 1495615445 1794738534 2392984712 2991230890 3589477068 4486846335 5982461780 7178954136 8674569581 8973692670 11964923560 17349139162 17947385340 26023708743 34698278324 35894770680 37988632303 43372847905 52047417486 69396556648 75977264606 86745695810 104094834972 113965896909 130118543715 151954529212 173491391620 189943161515 208189669944 227931793818 260237087430 303909058424 346982783240 379886323030 455863587636 520474174860 569829484545 759772646060 911727175272 1040948349720 1101670336787 1139658969090 1519545292120 2203340673574 2279317938180 3305011010361 4406681347148 4558635876360 5508351683935 6610022020722 8813362694296 11016703367870 13220044041444 16525055051805 22033406735740 26440088082888 33050110103610 44066813471480 66100220207220 132200440414440