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114225042213440 = 265677736892187
BaseRepresentation
bin11001111110001100010111…
…000100001100101001000000
3112222102210210120212102022022
4121332030113010030221000
5104432430341301312230
61042534132053301012
733026326013005424
oct3176142704145100
9488383716772268
10114225042213440
1133439628541624
12109896b3634768
134b974b55b2722
14202c743176b84
15d313c73a21e5
hex67e31710ca40

114225042213440 has 112 divisors (see below), whose sum is σ = 276415224777792. Its totient is φ = 44949844617216.

The previous prime is 114225042213421. The next prime is 114225042213467. The reversal of 114225042213440 is 44312240522411.

It is a self number, because there is not a number n which added to its sum of digits gives 114225042213440.

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, 13127027 + ... + 20019213.

Almost surely, 2114225042213440 is an apocalyptic number.

114225042213440 is a gapful number since it is divisible by the number (10) 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 114225042213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138207612388896).

114225042213440 is an abundant number, since it is smaller than the sum of its proper divisors (162190182564352).

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

114225042213440 is an equidigital number, since it uses as much as digits as its factorization.

114225042213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893044 (or 6893034 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 114225042213440 its reverse (44312240522411), we get a palindrome (158537282735851).

The spelling of 114225042213440 in words is "one hundred fourteen trillion, two hundred twenty-five billion, forty-two million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 773 1072 1340 1546 2144 2680 3092 3865 4288 5360 6184 7730 10720 12368 15460 21440 24736 30920 49472 51791 61840 103582 123680 207164 247360 258955 414328 517910 828656 1035820 1657312 2071640 3314624 4143280 6892187 8286560 13784374 16573120 27568748 34460935 55137496 68921870 110274992 137843740 220549984 275687480 441099968 461776529 551374960 923553058 1102749920 1847106116 2205499840 2308882645 3694212232 4617765290 5327660551 7388424464 9235530580 10655321102 14776848928 18471061160 21310642204 26638302755 29553697856 36942122320 42621284408 53276605510 73884244640 85242568816 106553211020 147768489280 170485137632 213106422040 340970275264 356953256917 426212844080 713906513834 852425688160 1427813027668 1704851376320 1784766284585 2855626055336 3569532569170 5711252110672 7139065138340 11422504221344 14278130276680 22845008442688 28556260553360 57112521106720 114225042213440