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132224101440 = 2635178101967
BaseRepresentation
bin111101100100100101…
…0111010110001000000
3110122021220222022020020
41323021022322301000
54131243332221230
6140424245213440
712360431214054
oct1731112726100
9418256868206
10132224101440
11510920704a2
1221761701280
13c6128c43a2
146584a1bc64
15368d241810
hex1ec92bac40

132224101440 has 112 divisors (see below), whose sum is σ = 444506372352. Its totient is φ = 33185652736.

The previous prime is 132224101421. The next prime is 132224101441. The reversal of 132224101440 is 44101422231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132224101440.

It is not an unprimeable number, because it can be changed into a prime (132224101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4034664 + ... + 4067303.

It is an arithmetic number, because the mean of its divisors is an integer number (3968806896).

Almost surely, 2132224101440 is an apocalyptic number.

132224101440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132224101440 is an abundant number, since it is smaller than the sum of its proper divisors (312282270912).

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

132224101440 is a wasteful number, since it uses less digits than its factorization.

132224101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102004 (or 8101994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132224101440 its reverse (44101422231), we get a palindrome (176325523671).

The spelling of 132224101440 in words is "one hundred thirty-two billion, two hundred twenty-four million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 8101967 16203934 24305901 32407868 40509835 48611802 64815736 81019670 97223604 121529505 129631472 137733439 162039340 194447208 243059010 259262944 275466878 324078680 388894416 413200317 486118020 518525888 550933756 648157360 688667195 777788832 826400634 972236040 1101867512 1296314720 1377334390 1555577664 1652801268 1944472080 2066001585 2203735024 2592629440 2754668780 3305602536 3888944160 4132003170 4407470048 5509337560 6611205072 7777888320 8264006340 8814940096 11018675120 13222410144 16528012680 22037350240 26444820288 33056025360 44074700480 66112050720 132224101440