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132142311101040 = 24352625120974171
BaseRepresentation
bin11110000010111011000111…
…100000110101001001110000
3122022212200101212022010002220
4132002323013200311021300
5114310004423120213130
61145013201211441040
736555652440463662
oct3602730740651160
9568780355263086
10132142311101040
113911726a745609
12129a2094756180
135896c7443c446
14248ba17198532
1510424d110d410
hex782ec7835270

132142311101040 has 80 divisors (see below), whose sum is σ = 409656788727936. Its totient is φ = 35236605600000.

The previous prime is 132142311100973. The next prime is 132142311101051. The reversal of 132142311101040 is 40101113241231.

It is a tau number, because it is divible by the number of its divisors (80).

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 132142311101040.

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, 4186846 + ... + 16787325.

Almost surely, 2132142311101040 is an apocalyptic number.

132142311101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132142311101040 is an abundant number, since it is smaller than the sum of its proper divisors (277514477626896).

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

132142311101040 is a wasteful number, since it uses less digits than its factorization.

132142311101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21000438 (or 21000432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 132142311101040 its reverse (40101113241231), we get a palindrome (172243424342271).

The spelling of 132142311101040 in words is "one hundred thirty-two trillion, one hundred forty-two billion, three hundred eleven million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 26251 52502 78753 105004 131255 157506 210008 262510 315012 393765 420016 525020 630024 787530 1050040 1260048 1575060 2100080 3150120 6300240 20974171 41948342 62922513 83896684 104870855 125845026 167793368 209741710 251690052 314612565 335586736 419483420 503380104 629225130 838966840 1006760208 1258450260 1677933680 2516900520 5033801040 550592962921 1101185925842 1651778888763 2202371851684 2752964814605 3303557777526 4404743703368 5505929629210 6607115555052 8258894443815 8809487406736 11011859258420 13214231110104 16517788887630 22023718516840 26428462220208 33035577775260 44047437033680 66071155550520 132142311101040