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1414471382456 = 2311217401214351
BaseRepresentation
bin10100100101010101000…
…100000111010110111000
312000012222221110012012212
4110211111010013112320
5141133314133214311
63001444342354252
7204122630242316
oct24452504072670
95005887405185
101414471382456
114a5968247100
121aa17372b988
13a34cba8b182
144c6645490b6
1526bd8856c8b
hex149551075b8

1414471382456 has 96 divisors (see below), whose sum is σ = 3094346888640. Its totient is φ = 603609600000.

The previous prime is 1414471382431. The next prime is 1414471382461. The reversal of 1414471382456 is 6542831744141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6491681 + ... + 6706031.

It is an arithmetic number, because the mean of its divisors is an integer number (32232780090).

Almost surely, 21414471382456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414471382456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547173444320).

1414471382456 is an abundant number, since it is smaller than the sum of its proper divisors (1679875506184).

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

1414471382456 is a wasteful number, since it uses less digits than its factorization.

1414471382456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214797 (or 214782 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 1414471382456 in words is "one trillion, four hundred fourteen billion, four hundred seventy-one million, three hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 401 484 748 802 968 1496 1604 2057 3208 4114 4411 6817 8228 8822 13634 16456 17644 27268 35288 48521 54536 74987 97042 149974 194084 214351 299948 388168 428702 599896 824857 857404 1649714 1714808 2357861 3299428 3643967 4715722 6598856 7287934 9431444 14575868 18862888 25936471 29151736 40083637 51872942 80167274 85954751 103745884 160334548 171909502 207491768 320669096 343819004 440920007 687638008 881840014 945502261 1461230767 1763680028 1891004522 2922461534 3527360056 3782009044 5844923068 7564018088 10400524871 11689846136 16073538437 20801049742 32147076874 41602099484 64294153748 83204198968 128588307496 176808922807 353617845614 707235691228 1414471382456