Search a number
-
+
132020154312432 = 24347311771877011
BaseRepresentation
bin11110000001001001010110…
…011001101010011011110000
3122022110000002112202021211220
4132001021112121222123300
5114301004234000444212
61144441115511505040
736544066332064101
oct3601112631523360
9568400075667756
10132020154312432
113907a484395271
1212982482688180
1358885a7472bc9
142485b496223a8
15103e231b2438c
hex78125666a6f0

132020154312432 has 80 divisors (see below), whose sum is σ = 348319849769472. Its totient is φ = 43069000527360.

The previous prime is 132020154312427. The next prime is 132020154312463. The reversal of 132020154312432 is 234213451020231.

It is a happy number.

It is a super-2 number, since 2×1320201543124322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132020154312393 and 132020154312402.

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, 69396807 + ... + 71273817.

Almost surely, 2132020154312432 is an apocalyptic number.

132020154312432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132020154312432 is an abundant number, since it is smaller than the sum of its proper divisors (216299695457040).

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

132020154312432 is a wasteful number, since it uses less digits than its factorization.

132020154312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908246 (or 1908240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 132020154312432 in words is "one hundred thirty-two trillion, twenty billion, one hundred fifty-four million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 31177 62354 93531 124708 187062 249416 374124 498832 748248 1465319 1496496 1877011 2930638 3754022 4395957 5631033 5861276 7508044 8791914 11262066 11722552 15016088 17583828 22524132 23445104 30032176 35167656 45048264 70335312 88219517 90096528 176439034 264658551 352878068 529317102 705756136 1058634204 1411512272 2117268408 4234536816 58519571947 117039143894 175558715841 234078287788 351117431682 468156575576 702234863364 936313151152 1404469726728 2750419881509 2808939453456 5500839763018 8251259644527 11001679526036 16502519289054 22003359052072 33005038578108 44006718104144 66010077156216 132020154312432