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132334230023040 = 2735160942836593
BaseRepresentation
bin11110000101101101110110…
…110001011010101110000000
3122100120000210000121111121010
4132011231312301122232000
5114321131000341214130
61145241301144200520
736605555404424553
oct3605556661325600
9570500700544533
10132334230023040
11391906a49a1251
1212a13315a69140
1358ac0ab49b556
142497021d0869a
1510474b4dbe0b0
hex785b76c5ab80

132334230023040 has 128 divisors (see below), whose sum is σ = 422077528000800. Its totient is φ = 35267194847232.

The previous prime is 132334230023003. The next prime is 132334230023129. The reversal of 132334230023040 is 40320032433231.

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

It is a super-2 number, since 2×1323342300230402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132334230022989 and 132334230023007.

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, 18329017 + ... + 24507576.

Almost surely, 2132334230023040 is an apocalyptic number.

132334230023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132334230023040 is an abundant number, since it is smaller than the sum of its proper divisors (289743297977760).

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

132334230023040 is a wasteful number, since it uses less digits than its factorization.

132334230023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42838224 (or 42838212 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 132334230023040 its reverse (40320032433231), we get a palindrome (172654262456271).

The spelling of 132334230023040 in words is "one hundred thirty-two trillion, three hundred thirty-four billion, two hundred thirty million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1609 1920 3218 4827 6436 8045 9654 12872 16090 19308 24135 25744 32180 38616 48270 51488 64360 77232 96540 102976 128720 154464 193080 205952 257440 308928 386160 514880 617856 772320 1029760 1544640 3089280 42836593 85673186 128509779 171346372 214182965 257019558 342692744 428365930 514039116 642548895 685385488 856731860 1028078232 1285097790 1370770976 1713463720 2056156464 2570195580 2741541952 3426927440 4112312928 5140391160 5483083904 6853854880 8224625856 10280782320 13707709760 16449251712 20561564640 27415419520 41123129280 68924078137 82246258560 137848156274 206772234411 275696312548 344620390685 413544468822 551392625096 689240781370 827088937644 1033861172055 1102785250192 1378481562740 1654177875288 2067722344110 2205570500384 2756963125480 3308355750576 4135444688220 4411141000768 5513926250960 6616711501152 8270889376440 8822282001536 11027852501920 13233423002304 16541778752880 22055705003840 26466846004608 33083557505760 44111410007680 66167115011520 132334230023040