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132340401241040 = 2452971979336963
BaseRepresentation
bin11110000101110011100110…
…100110101111101111010000
3122100120121201002211212012202
4132011303212212233233100
5114321231120204203130
61145244201354542332
736606164341054016
oct3605634646575720
9570517632755182
10132340401241040
1139193281436713
1212a145587379a8
1358ac852b84b35
1424974497668b6
151047726a78145
hex785ce69afbd0

132340401241040 has 80 divisors (see below), whose sum is σ = 318744186566400. Its totient is φ = 51039689089536.

The previous prime is 132340401240991. The next prime is 132340401241063. The reversal of 132340401241040 is 40142104043231.

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 (29).

It is a junction number, because it is equal to n+sod(n) for n = 132340401240994 and 132340401241012.

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, 38000402 + ... + 41336561.

It is an arithmetic number, because the mean of its divisors is an integer number (3984302332080).

Almost surely, 2132340401241040 is an apocalyptic number.

132340401241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132340401241040 is an abundant number, since it is smaller than the sum of its proper divisors (186403785325360).

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

132340401241040 is a wasteful number, since it uses less digits than its factorization.

132340401241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79337724 (or 79337718 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 132340401241040 its reverse (40142104043231), we get a palindrome (172482505284271).

The spelling of 132340401241040 in words is "one hundred thirty-two trillion, three hundred forty billion, four hundred one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 719 1160 1438 2320 2876 3595 5752 7190 11504 14380 20851 28760 41702 57520 83404 104255 166808 208510 333616 417020 834040 1668080 79336963 158673926 317347852 396684815 634695704 793369630 1269391408 1586739260 2300771927 3173478520 4601543854 6346957040 9203087708 11503859635 18406175416 23007719270 36812350832 46015438540 57043276397 92030877080 114086552794 184061754160 228173105588 285216381985 456346211176 570432763970 912692422352 1140865527940 1654255015513 2281731055880 3308510031026 4563462111760 6617020062052 8271275077565 13234040124104 16542550155130 26468080248208 33085100310260 66170200620520 132340401241040