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11402051013240 = 2335199843156633
BaseRepresentation
bin1010010111101011111100…
…1100110100101001111000
31111101000200112120022112120
42211322333030310221320
52443302400024410430
640130010244041240
72254525311333636
oct245727714645170
944330615508476
1011402051013240
1136a6645600978
121341963993220
1364929395b0a4
142b5c0dcb2356
1514b8d8190610
hexa5ebf334a78

11402051013240 has 128 divisors (see below), whose sum is σ = 34382727936000. Its totient is φ = 3024855567360.

The previous prime is 11402051013239. The next prime is 11402051013257. The reversal of 11402051013240 is 4231015020411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11402051013240.

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, 201303964 + ... + 201360596.

It is an arithmetic number, because the mean of its divisors is an integer number (268615062000).

Almost surely, 211402051013240 is an apocalyptic number.

11402051013240 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 11402051013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191363968000).

11402051013240 is an abundant number, since it is smaller than the sum of its proper divisors (22980676922760).

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

11402051013240 is a wasteful number, since it uses less digits than its factorization.

11402051013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65277 (or 65273 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11402051013240 its reverse (4231015020411), we get a palindrome (15633066033651).

The spelling of 11402051013240 in words is "eleven trillion, four hundred two billion, fifty-one million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 8431 11940 16862 23880 25293 33724 42155 50586 56633 67448 84310 101172 113266 126465 168620 169899 202344 226532 252930 283165 337240 339798 453064 505860 566330 679596 849495 1011720 1132660 1359192 1677769 1698990 2265320 3355538 3397980 5033307 6711076 6795960 8388845 10066614 11269967 13422152 16777690 20133228 22539934 25166535 33555380 33809901 40266456 45079868 50333070 56349835 67110760 67619802 90159736 100666140 112699670 135239604 169049505 201332280 225399340 270479208 338099010 450798680 477472823 676198020 954945646 1352396040 1432418469 1909891292 2387364115 2864836938 3819782584 4774728230 5729673876 7162092345 9549456460 11459347752 14324184690 19098912920 28648369380 57296738760 95017091777 190034183554 285051275331 380068367108 475085458885 570102550662 760136734216 950170917770 1140205101324 1425256376655 1900341835540 2280410202648 2850512753310 3800683671080 5701025506620 11402051013240