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132341201223040 = 2751957139190471
BaseRepresentation
bin11110000101110100010110…
…010010011011110110000000
3122100120200202212011011012201
4132011310112102123312000
5114321234240003114130
61145244413013202544
736606223223564035
oct3605642622336600
9570520685134181
10132341201223040
1139193651a64a67
1212a14740630454
1358ac94c82c774
1424974c3ac938c
151047771de9bca
hex785d1649bd80

132341201223040 has 128 divisors (see below), whose sum is σ = 333037244448000. Its totient is φ = 50149208954880.

The previous prime is 132341201223031. The next prime is 132341201223071. The reversal of 132341201223040 is 40322102143231.

132341201223040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 694715005 + ... + 694905475.

It is an arithmetic number, because the mean of its divisors is an integer number (2601853472250).

Almost surely, 2132341201223040 is an apocalyptic number.

132341201223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132341201223040 is an abundant number, since it is smaller than the sum of its proper divisors (200696043224960).

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

132341201223040 is a wasteful number, since it uses less digits than its factorization.

132341201223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247648 (or 247636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132341201223040 its reverse (40322102143231), we get a palindrome (172663303366271).

The spelling of 132341201223040 in words is "one hundred thirty-two trillion, three hundred forty-one billion, two hundred one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 57139 114278 190471 228556 285695 380942 457112 571390 761884 914224 952355 1085641 1142780 1523768 1828448 1904710 2171282 2285560 3047536 3618949 3656896 3809420 4342564 4571120 5428205 6095072 7237898 7313792 7618840 8685128 9142240 10856410 12190144 14475796 15237680 17370256 18094745 18284480 21712820 24380288 28951592 30475360 34740512 36189490 36568960 43425640 57903184 60950720 69481024 72378980 86851280 115806368 121901440 138962048 144757960 173702560 231612736 289515920 347405120 463225472 579031840 694810240 1158063680 2316127360 10883322469 21766644938 43533289876 54416612345 87066579752 108833224690 174133159504 206783126911 217666449380 348266319008 413566253822 435332898760 696532638016 827132507644 870665797520 1033915634555 1393065276032 1654265015288 1741331595040 2067831269110 3308530030576 3482663190080 4135662538220 6617060061152 6965326380160 8271325076440 13234120122304 16542650152880 26468240244608 33085300305760 66170600611520 132341201223040