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21341202402400 = 2552174493494891
BaseRepresentation
bin1001101101000111000101…
…10010011100110001100000
32210120012101002101212101121
410312203202302130301200
510244123240303334100
6113220002452142024
74331564614236406
oct466434262346140
983505332355347
1021341202402400
116888831434a61
122488099607914
13bba60b5b652a
1453acc396b476
1527020110551a
hex1368e2c9cc60

21341202402400 has 144 divisors (see below), whose sum is σ = 55286745015600. Its totient is φ = 8016438886400.

The previous prime is 21341202402379. The next prime is 21341202402409. The reversal of 21341202402400 is 420420214312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21341202402409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4358955 + ... + 7853845.

It is an arithmetic number, because the mean of its divisors is an integer number (383935729275).

Almost surely, 221341202402400 is an apocalyptic number.

21341202402400 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 21341202402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27643372507800).

21341202402400 is an abundant number, since it is smaller than the sum of its proper divisors (33945542613200).

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

21341202402400 is a wasteful number, since it uses less digits than its factorization.

21341202402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495377 (or 3495364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21341202402400 its reverse (420420214312), we get a palindrome (21761622616712).

The spelling of 21341202402400 in words is "twenty-one trillion, three hundred forty-one billion, two hundred two million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 449 544 680 800 850 898 1360 1700 1796 2245 2720 3400 3592 4490 6800 7184 7633 8980 11225 13600 14368 15266 17960 22450 30532 35920 38165 44900 61064 71840 76330 89800 122128 152660 179600 190825 244256 305320 359200 381650 610640 763300 1221280 1526600 3053200 3494891 6106400 6989782 13979564 17474455 27959128 34948910 55918256 59413147 69897820 87372275 111836512 118826294 139795640 174744550 237652588 279591280 297065735 349489100 475305176 559182560 594131470 698978200 950610352 1188262940 1397956400 1485328675 1569206059 1901220704 2376525880 2795912800 2970657350 3138412118 4753051760 5941314700 6276824236 7846030295 9506103520 11882629400 12553648472 15692060590 23765258800 25107296944 26676503003 31384121180 39230151475 47530517600 50214593888 53353006006 62768242360 78460302950 106706012012 125536484720 133382515015 156920605900 213412024024 251072969440 266765030030 313841211800 426824048048 533530060060 627682423600 666912575075 853648096096 1067060120120 1255364847200 1333825150150 2134120240240 2667650300300 4268240480480 5335300600600 10670601201200 21341202402400