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1432134440220 = 22351121371439881
BaseRepresentation
bin10100110101110001110…
…111010101010100011100
312001220120220121111101110
4110311301313111110130
5141431002404041340
63013525151142020
7205316424613461
oct24656167252434
95056526544343
101432134440220
11502401612900
121b1682b14910
13a5085257b43
144d45c307668
15273be355680
hex14d71dd551c

1432134440220 has 144 divisors (see below), whose sum is σ = 4439835830304. Its totient is φ = 344649676800.

The previous prime is 1432134440203. The next prime is 1432134440221. The reversal of 1432134440220 is 220444312341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432134440221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274680 + ... + 1714560.

It is an arithmetic number, because the mean of its divisors is an integer number (30832193266).

Almost surely, 21432134440220 is an apocalyptic number.

1432134440220 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 1432134440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219917915152).

1432134440220 is an abundant number, since it is smaller than the sum of its proper divisors (3007701390084).

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

1432134440220 is a wasteful number, since it uses less digits than its factorization.

1432134440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440052 (or 1440039 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1432134440220 its reverse (220444312341), we get a palindrome (1652578752561).

The spelling of 1432134440220 in words is "one trillion, four hundred thirty-two billion, one hundred thirty-four million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 137 165 220 242 274 330 363 411 484 548 605 660 685 726 822 1210 1370 1452 1507 1644 1815 2055 2420 2740 3014 3630 4110 4521 6028 7260 7535 8220 9042 15070 16577 18084 22605 30140 33154 45210 49731 66308 82885 90420 99462 165770 198924 248655 331540 497310 994620 1439881 2879762 4319643 5759524 7199405 8639286 14398810 15838691 17278572 21598215 28797620 31677382 43196430 47516073 63354764 79193455 86392860 95032146 158386910 174225601 190064292 197263697 237580365 316773820 348451202 394527394 475160730 522676803 591791091 696902404 789054788 871128005 950321460 986318485 1045353606 1183582182 1742256010 1972636970 2090707212 2169900667 2367164364 2613384015 2958955455 3484512020 3945273940 4339801334 5226768030 5917910910 6509702001 8679602668 10453536060 10849503335 11835821820 13019404002 21699006670 23868907337 26038808004 32548510005 43398013340 47737814674 65097020010 71606722011 95475629348 119344536685 130194040020 143213444022 238689073370 286426888044 358033610055 477378146740 716067220110 1432134440220