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2123240300440 = 235761193644101
BaseRepresentation
bin11110111001011010111…
…110111101111110011000
321111222110021012210000221
4132321122332331332120
5234241344004103230
64303223024205424
7306253605526360
oct36713276757630
97458407183027
102123240300440
11749508884656
122a35b8a69874
131252b3b5a77c
1474aa02b19a0
153a36c69227a
hex1ee5afbdf98

2123240300440 has 128 divisors (see below), whose sum is σ = 5578026376320. Its totient is φ = 712323072000.

The previous prime is 2123240300407. The next prime is 2123240300477. The reversal of 2123240300440 is 440030423212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974390 + ... + 3618490.

It is an arithmetic number, because the mean of its divisors is an integer number (43578331065).

Almost surely, 22123240300440 is an apocalyptic number.

2123240300440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123240300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789013188160).

2123240300440 is an abundant number, since it is smaller than the sum of its proper divisors (3454786075880).

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

2123240300440 is a wasteful number, since it uses less digits than its factorization.

2123240300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644373 (or 644369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2123240300440 its reverse (440030423212), we get a palindrome (2563270723652).

The spelling of 2123240300440 in words is "two trillion, one hundred twenty-three billion, two hundred forty million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 193 244 280 305 386 427 488 610 772 854 965 1220 1351 1544 1708 1930 2135 2440 2702 3416 3860 4270 5404 6755 7720 8540 10808 11773 13510 17080 23546 27020 47092 54040 58865 82411 94184 117730 164822 235460 329644 412055 470920 644101 659288 824110 1288202 1648220 2576404 3220505 3296440 4508707 5152808 6441010 9017414 12882020 18034828 22543535 25764040 36069656 39290161 45087070 78580322 90174140 124311493 157160644 180348280 196450805 248622986 275031127 314321288 392901610 497245972 550062254 621557465 785803220 870180451 994491944 1100124508 1243114930 1375155635 1571606440 1740360902 2200249016 2486229860 2750311270 3480721804 4350902255 4972459720 5500622540 6961443608 7583001073 8701804510 11001245080 15166002146 17403609020 30332004292 34807218040 37915005365 53081007511 60664008584 75830010730 106162015022 151660021460 212324030044 265405037555 303320042920 424648060088 530810075110 1061620150220 2123240300440