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1420404134080 = 26519299977899
BaseRepresentation
bin10100101010110110101…
…011110001000011000000
312000210022101222012110111
4110222312223301003000
5141232441424242310
63004305154041104
7204422636634301
oct24526653610300
95023271865414
101420404134080
114a8432116218
121ab34a579194
13a3c35c3c9a9
144ca684507a8
1526e3460928a
hex14ab6af10c0

1420404134080 has 112 divisors (see below), whose sum is σ = 3561588000000. Its totient is φ = 538072022016.

The previous prime is 1420404134047. The next prime is 1420404134117. The reversal of 1420404134080 is 804314040241.

It is a super-2 number, since 2×14204041340802 (a number of 25 digits) contains 22 as substring.

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, 18194971 + ... + 18272869.

Almost surely, 21420404134080 is an apocalyptic number.

1420404134080 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 1420404134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780794000000).

1420404134080 is an abundant number, since it is smaller than the sum of its proper divisors (2141183865920).

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

1420404134080 is a wasteful number, since it uses less digits than its factorization.

1420404134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80934 (or 80924 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 1420404134080 in words is "one trillion, four hundred twenty billion, four hundred four million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2999 3040 5998 6080 11996 14995 23992 29990 47984 56981 59980 77899 95968 113962 119960 155798 191936 227924 239920 284905 311596 389495 455848 479840 569810 623192 778990 911696 959680 1139620 1246384 1480081 1557980 1823392 2279240 2492768 2960162 3115960 3646784 4558480 4985536 5920324 6231920 7400405 9116960 11840648 12463840 14800810 18233920 23681296 24927680 29601620 47362592 59203240 94725184 118406480 233619101 236812960 467238202 473625920 934476404 1168095505 1868952808 2336191010 3737905616 4438762919 4672382020 7475811232 8877525838 9344764040 14951622464 17755051676 18689528080 22193814595 35510103352 37379056160 44387629190 71020206704 74758112320 88775258380 142040413408 177550516760 284080826816 355101033520 710202067040 1420404134080