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1400311317321 = 347291392272699
BaseRepresentation
bin10100011000001001000…
…011110000001101001001
311221212110002210100120000
4110120021003300031021
5140420314144123241
62551143311153213
7203112006543510
oct24301103601511
94855402710500
101400311317321
1149a961261634
121a7481515809
13a2083267cc7
144babdac7677
152665a656eb6
hex146090f0349

1400311317321 has 160 divisors (see below), whose sum is σ = 2502783360000. Its totient is φ = 763365472128.

The previous prime is 1400311317281. The next prime is 1400311317359. The reversal of 1400311317321 is 1237131130041.

1400311317321 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 311 + 317 + 32 + 1 = 666.

It is not a de Polignac number, because 1400311317321 - 221 = 1400309220169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1400311319321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518824630 + ... + 518827328.

It is an arithmetic number, because the mean of its divisors is an integer number (15642396000).

Almost surely, 21400311317321 is an apocalyptic number.

It is an amenable number.

1400311317321 is a deficient number, since it is larger than the sum of its proper divisors (1102472042679).

1400311317321 is a wasteful number, since it uses less digits than its factorization.

1400311317321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1400311317321 its reverse (1237131130041), we get a palindrome (2637442447362).

The spelling of 1400311317321 in words is "one trillion, four hundred billion, three hundred eleven million, three hundred seventeen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 139 189 203 227 261 417 567 609 681 783 973 1251 1589 1827 2043 2349 2699 2919 3753 4031 4767 5481 6129 6583 8097 8757 11259 12093 14301 16443 18387 18893 19749 24291 26271 28217 31553 36279 42903 46081 56679 59247 72873 78271 78813 84651 94659 108837 128709 138243 170037 177741 218619 220871 234813 253953 283977 326511 375161 414729 510111 533223 547897 612673 662613 704439 761859 851931 915037 1125483 1244187 1530333 1643691 1838019 1987839 2113317 2285577 2555793 2626127 2745111 3376449 3732561 4288711 4931073 5514057 5963517 6339951 6405259 7878381 8235333 10129347 10879669 12866133 14793219 16542171 17767517 17890551 19215777 23635143 24705999 30388041 32639007 38598399 44379657 49626513 53302551 57647331 70905429 74117997 76157683 85161547 97917021 115795197 124372619 159907653 172941993 212716287 228473049 255484641 293751063 347385591 373117857 479722959 518825979 596130829 685419147 766453923 881253189 1119353571 1439168877 1788392487 2056257441 2299361769 2469684863 3358060713 5365177461 6168772323 6898085307 7409054589 10074182139 16095532383 17287794041 22227163767 48286597149 51863382123 66681491301 155590146369 200044473903 466770439107 1400311317321