Search a number
-
+
1027463714420 = 22511132711325657
BaseRepresentation
bin11101111001110011001…
…11000001011001110100
310122020001201020200010012
432330321213001121310
5113313221202330140
62104002121115352
7134142336321203
oct16747147013164
93566051220105
101027463714420
11366821532040
12147167628b58
1375b74068530
1437a2dab723a
151bad7898265
hexef399c1674

1027463714420 has 96 divisors (see below), whose sum is σ = 2544245254656. Its totient is φ = 343610035200.

The previous prime is 1027463714411. The next prime is 1027463714461. The reversal of 1027463714420 is 244173647201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112232 + ... + 1437888.

It is an arithmetic number, because the mean of its divisors is an integer number (26502554736).

Almost surely, 21027463714420 is an apocalyptic number.

1027463714420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027463714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272122627328).

1027463714420 is an abundant number, since it is smaller than the sum of its proper divisors (1516781540236).

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

1027463714420 is a wasteful number, since it uses less digits than its factorization.

1027463714420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325961 (or 1325959 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 1027463714420 in words is "one trillion, twenty-seven billion, four hundred sixty-three million, seven hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 271 286 542 572 715 1084 1355 1430 2710 2860 2981 3523 5420 5962 7046 11924 14092 14905 17615 29810 35230 38753 59620 70460 77506 155012 193765 387530 775060 1325657 2651314 5302628 6628285 13256570 14582227 17233541 26513140 29164454 34467082 58328908 68934164 72911135 86167705 145822270 172335410 189568951 291644540 344670820 359253047 379137902 718506094 758275804 947844755 1437012188 1796265235 1895689510 3592530470 3791379020 3951783517 4670289611 7185060940 7903567034 9340579222 15807134068 18681158444 19758917585 23351448055 39517835170 46702896110 51373185721 79035670340 93405792220 102746371442 205492742884 256865928605 513731857210 1027463714420