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2341105402240 = 27511437733567
BaseRepresentation
bin100010000100010100110…
…000011000000110000000
322021210210122211200000101
4202010110300120012000
5301324040440332430
64551253341332144
7331065526404313
oct42042460300600
98253718750011
102341105402240
11822947a701a0
1231987b567054
1313c9c44680a7
148144ad0697a
1540d6e224dca
hex22114c18180

2341105402240 has 128 divisors (see below), whose sum is σ = 6247485573120. Its totient is φ = 831513016320.

The previous prime is 2341105402171. The next prime is 2341105402247. The reversal of 2341105402240 is 422045011432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2341105402199 and 2341105402208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341105402247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564064 + ... + 4169503.

It is an arithmetic number, because the mean of its divisors is an integer number (48808481040).

Almost surely, 22341105402240 is an apocalyptic number.

2341105402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2341105402240 is an abundant number, since it is smaller than the sum of its proper divisors (3906380170880).

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

2341105402240 is a wasteful number, since it uses less digits than its factorization.

2341105402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733640 (or 7733628 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 2341105402240 in words is "two trillion, three hundred forty-one billion, one hundred five million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 320 344 352 430 440 473 640 688 704 860 880 946 1376 1408 1720 1760 1892 2365 2752 3440 3520 3784 4730 5504 6880 7040 7568 9460 13760 15136 18920 27520 30272 37840 60544 75680 151360 302720 7733567 15467134 30934268 38667835 61868536 77335670 85069237 123737072 154671340 170138474 247474144 309342680 332543381 340276948 425346185 494948288 618685360 665086762 680553896 850692370 989896576 1237370720 1330173524 1361107792 1662716905 1701384740 2474741440 2660347048 2722215584 3325433810 3402769480 3657977191 4949482880 5320694096 5444431168 6650867620 6805538960 7315954382 10641388192 10888862336 13301735240 13611077920 14631908764 18289885955 21282776384 26603470480 27222155840 29263817528 36579771910 42565552768 53206940960 54444311680 58527635056 73159543820 106413881920 117055270112 146319087640 212827763840 234110540224 292638175280 468221080448 585276350560 1170552701120 2341105402240