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2414041340144 = 247192694217167
BaseRepresentation
bin100011001000010000000…
…100111001100011110000
322112210001200200012112212
4203020100010321203300
5304022424040341034
65044554551511252
7336260123553560
oct43102004714360
98483050605485
102414041340144
11850875447925
1232ba35688528
13146848c270b5
1484ba980ada0
1542bdc4732ce
hex232101398f0

2414041340144 has 80 divisors (see below), whose sum is σ = 5647631385600. Its totient is φ = 976493221632.

The previous prime is 2414041340131. The next prime is 2414041340177. The reversal of 2414041340144 is 4410431404142.

It is a self number, because there is not a number n which added to its sum of digits gives 2414041340144.

It is a congruent number.

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, 1536152 + ... + 2681015.

It is an arithmetic number, because the mean of its divisors is an integer number (70595392320).

Almost surely, 22414041340144 is an apocalyptic number.

It is an amenable number.

2414041340144 is an abundant number, since it is smaller than the sum of its proper divisors (3233590045456).

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

2414041340144 is a wasteful number, since it uses less digits than its factorization.

2414041340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217470 (or 4217464 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2414041340144 its reverse (4410431404142), we get a palindrome (6824472744286).

The spelling of 2414041340144 in words is "two trillion, four hundred fourteen billion, forty-one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 269 304 532 538 1064 1076 1883 2128 2152 3766 4304 5111 7532 10222 15064 20444 30128 35777 40888 71554 81776 143108 286216 572432 4217167 8434334 16868668 29520169 33737336 59040338 67474672 80126173 118080676 160252346 236161352 320504692 472322704 560883211 641009384 1121766422 1134417923 1282018768 2243532844 2268835846 4487065688 4537671692 7940925461 8974131376 9075343384 15881850922 18150686768 21553940537 31763701844 43107881074 63527403688 86215762148 127054807376 150877583759 172431524296 301755167518 344863048592 603510335036 1207020670072 2414041340144