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1416455434350 = 2325211286152613
BaseRepresentation
bin10100100111001011010…
…100101011000001101110
312000102010012210110202100
4110213023110223001232
5141201400042344400
63002413255435530
7204223041352215
oct24471324530156
95012105713670
101416455434350
114a6796190710
121aa628085ba6
13a3756b40488
144c7b1c5207c
1526ca2b19100
hex149cb52b06e

1416455434350 has 72 divisors (see below), whose sum is σ = 4151502123912. Its totient is φ = 343383134400.

The previous prime is 1416455434337. The next prime is 1416455434357. The reversal of 1416455434350 is 534345546141.

1416455434350 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 554 + 3 + 43 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1416455434296 and 1416455434305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416455434357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143071357 + ... + 143081256.

It is an arithmetic number, because the mean of its divisors is an integer number (57659751721).

Almost surely, 21416455434350 is an apocalyptic number.

1416455434350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1416455434350 is an abundant number, since it is smaller than the sum of its proper divisors (2735046689562).

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

1416455434350 is a wasteful number, since it uses less digits than its factorization.

1416455434350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286152642 (or 286152634 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 1416455434350 in words is "one trillion, four hundred sixteen billion, four hundred fifty-five million, four hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 286152613 572305226 858457839 1430763065 1716915678 2575373517 2861526130 3147678743 4292289195 5150747034 6295357486 7153815325 8584578390 9443036229 12876867585 14307630650 15738393715 18886072458 21461445975 25753735170 28329108687 31476787430 42922891950 47215181145 56658217374 64384337925 78691968575 94430362290 128768675850 141645543435 157383937150 236075905725 283291086870 472151811450 708227717175 1416455434350