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2102402441040 = 2435114441179321
BaseRepresentation
bin11110100110000000111…
…100110101111101010000
321102222200001002211202120
4132212000330311331100
5233421210011103130
64245455204414240
7304615330614606
oct36460074657520
97388601084676
102102402441040
11740695406450
1229b5623a7380
13123342a05855
1473a84a07876
1539a4d0c1910
hex1e980f35f50

2102402441040 has 160 divisors (see below), whose sum is σ = 7111583436672. Its totient is φ = 509555712000.

The previous prime is 2102402441023. The next prime is 2102402441099. The reversal of 2102402441040 is 401442042012.

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 2102402441040.

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, 11634580 + ... + 11813900.

Almost surely, 22102402441040 is an apocalyptic number.

2102402441040 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 2102402441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555791718336).

2102402441040 is an abundant number, since it is smaller than the sum of its proper divisors (5009180995632).

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

2102402441040 is a wasteful number, since it uses less digits than its factorization.

2102402441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183789 (or 183783 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2102402441040 its reverse (401442042012), we get a palindrome (2503844483052).

The spelling of 2102402441040 in words is "two trillion, one hundred two billion, four hundred two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4441 8882 13323 17764 22205 26646 35528 44410 48851 53292 66615 71056 88820 97702 106584 133230 146553 177640 179321 195404 213168 244255 266460 293106 355280 358642 390808 488510 532920 537963 586212 717284 732765 781616 896605 977020 1065840 1075926 1172424 1434568 1465530 1793210 1954040 1972531 2151852 2344848 2689815 2869136 2931060 3586420 3908080 3945062 4303704 5379630 5862120 5917593 7172840 7890124 8607408 9862655 10759260 11724240 11835186 14345680 15780248 19725310 21518520 23670372 29587965 31560496 39450620 43037040 47340744 59175930 78901240 94681488 118351860 157802480 236703720 473407440 796364561 1592729122 2389093683 3185458244 3981822805 4778187366 6370916488 7963645610 8760010171 9556374732 11945468415 12741832976 15927291220 17520020342 19112749464 23890936830 26280030513 31854582440 35040040684 38225498928 43800050855 47781873660 52560061026 63709164880 70080081368 87600101710 95563747320 105120122052 131400152565 140160162736 175200203420 191127494640 210240244104 262800305130 350400406840 420480488208 525600610260 700800813680 1051201220520 2102402441040