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2344214040240 = 243559563294053
BaseRepresentation
bin100010000111001110000…
…010111000111010110000
322022002211022021211200010
4202013032002320322300
5301401422243241430
64552530030254520
7331235544400002
oct42071602707260
98262738254603
102344214040240
118241a2791a06
1231a3a8657440
1314009b4c8a67
1481663b0c372
1540ea20c7cb0
hex221ce0b8eb0

2344214040240 has 160 divisors (see below), whose sum is σ = 7403385795840. Its totient is φ = 613434815488.

The previous prime is 2344214040239. The next prime is 2344214040253. The reversal of 2344214040240 is 420404124432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2344214040198 and 2344214040207.

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, 7825054 + ... + 8119106.

It is an arithmetic number, because the mean of its divisors is an integer number (46271161224).

Almost surely, 22344214040240 is an apocalyptic number.

2344214040240 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 2344214040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701692897920).

2344214040240 is an abundant number, since it is smaller than the sum of its proper divisors (5059171755600).

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

2344214040240 is a wasteful number, since it uses less digits than its factorization.

2344214040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294691 (or 294685 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2344214040240 its reverse (420404124432), we get a palindrome (2764618164672).

The spelling of 2344214040240 in words is "two trillion, three hundred forty-four billion, two hundred fourteen million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 563 590 708 885 944 1126 1180 1416 1689 1770 2252 2360 2815 2832 3378 3540 4504 4720 5630 6756 7080 8445 9008 11260 13512 14160 16890 22520 27024 33217 33780 45040 66434 67560 99651 132868 135120 166085 199302 265736 294053 332170 398604 498255 531472 588106 664340 797208 882159 996510 1176212 1328680 1470265 1594416 1764318 1993020 2352424 2657360 2940530 3528636 3986040 4410795 4704848 5881060 7057272 7972080 8821590 11762120 14114544 17349127 17643180 23524240 34698254 35286360 52047381 69396508 70572720 86745635 104094762 138793016 165551839 173491270 208189524 260236905 277586032 331103678 346982540 416379048 496655517 520473810 662207356 693965080 827759195 832758096 993311034 1040947620 1324414712 1387930160 1655518390 1986622068 2081895240 2483277585 2648829424 3311036780 3973244136 4163790480 4966555170 6622073560 7946488272 9767558501 9933110340 13244147120 19535117002 19866220680 29302675503 39070234004 39732441360 48837792505 58605351006 78140468008 97675585010 117210702012 146513377515 156280936016 195351170020 234421404024 293026755030 390702340040 468842808048 586053510060 781404680080 1172107020120 2344214040240