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1406520663054 = 2313537910341813
BaseRepresentation
bin10100011101111011001…
…010100001110000001110
311222110110211202210120220
4110131323022201300032
5141021023242204204
62554051403052210
7203421615242343
oct24357312416016
94873424683526
101406520663054
114a2558278a21
121a8714b11066
13a2832810b90
144c10c62c7ca
15268c08431d9
hex1477b2a1c0e

1406520663054 has 128 divisors (see below), whose sum is σ = 3156080578560. Its totient is φ = 415155027456.

The previous prime is 1406520663029. The next prime is 1406520663139. The reversal of 1406520663054 is 4503660256041.

It is a junction number, because it is equal to n+sod(n) for n = 1406520662997 and 1406520663015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33617452 + ... + 33659264.

It is an arithmetic number, because the mean of its divisors is an integer number (24656879520).

Almost surely, 21406520663054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406520663054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578040289280).

1406520663054 is an abundant number, since it is smaller than the sum of its proper divisors (1749559915506).

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

1406520663054 is a wasteful number, since it uses less digits than its factorization.

1406520663054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42066.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1406520663054 in words is "one trillion, four hundred six billion, five hundred twenty million, six hundred sixty-three thousand, fifty-four".

Divisors: 1 2 3 6 13 26 39 53 78 79 103 106 158 159 206 237 309 318 474 618 689 1027 1339 1378 2054 2067 2678 3081 4017 4134 4187 5459 6162 8034 8137 8374 10918 12561 16274 16377 24411 25122 32754 41813 48822 54431 70967 83626 105781 108862 125439 141934 163293 211562 212901 250878 317343 326586 425802 431261 543569 634686 862522 1087138 1293783 1630707 2216089 2587566 3261414 3303227 4306739 4432178 5606393 6606454 6648267 8613478 9909681 11212786 12920217 13296534 16819179 19819362 25840434 28809157 33638358 42941951 55987607 57618314 85883902 86427471 111975214 128825853 167962821 172854942 175071031 228257167 257651706 335925642 340232381 350142062 456514334 525213093 680464762 684771501 1020697143 1050426186 1369543002 2041394286 2275923403 2967343171 4423020953 4551846806 5934686342 6827770209 8846041906 8902029513 13269062859 13655540418 17804059026 18032316193 26538125718 36064632386 54096948579 108193897158 234420110509 468840221018 703260331527 1406520663054