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32142013334240 = 2551782914254423
BaseRepresentation
bin1110100111011101001010…
…10010011000001011100000
311012210202011011200110120012
413103232211102120023200
513203103320403143430
6152205500450504052
76525120024332555
oct723564522301340
9135722134613505
1032142013334240
11a27239564a877
123731407295028
1314c1c956cb034
147d19789d4a2c
153ab14a621695
hex1d3ba54982e0

32142013334240 has 96 divisors (see below), whose sum is σ = 80499293743680. Its totient is φ = 12085925289984.

The previous prime is 32142013334201. The next prime is 32142013334269. The reversal of 32142013334240 is 4243331024123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32142013334197 and 32142013334206.

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, 4872332 + ... + 9382091.

It is an arithmetic number, because the mean of its divisors is an integer number (838534309830).

Almost surely, 232142013334240 is an apocalyptic number.

It is an amenable number.

32142013334240 is an abundant number, since it is smaller than the sum of its proper divisors (48357280409440).

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

32142013334240 is a wasteful number, since it uses less digits than its factorization.

32142013334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255284 (or 14255276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 32142013334240 its reverse (4243331024123), we get a palindrome (36385344358363).

The spelling of 32142013334240 in words is "thirty-two trillion, one hundred forty-two billion, thirteen million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 829 1360 1658 2720 3316 4145 6632 8290 13264 14093 16580 26528 28186 33160 56372 66320 70465 112744 132640 140930 225488 281860 450976 563720 1127440 2254880 14254423 28508846 57017692 71272115 114035384 142544230 228070768 242325191 285088460 456141536 484650382 570176920 969300764 1140353840 1211625955 1938601528 2280707680 2423251910 3877203056 4846503820 7754406112 9693007640 11816916667 19386015280 23633833334 38772030560 47267666668 59084583335 94535333336 118169166670 189070666672 200887583339 236338333340 378141333344 401775166678 472676666680 803550333356 945353333360 1004437916695 1607100666712 1890706666720 2008875833390 3214201333424 4017751666780 6428402666848 8035503333560 16071006667120 32142013334240