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1003402344440 = 2351756910912377
BaseRepresentation
bin11101001100111110111…
…00001011011111111000
310112220221211112102122002
432212133130023133320
5112414432000010230
62044542350320132
7132331150126406
oct16463734133770
93486854472562
101003402344440
113575a4512701
121425714b9048
137380b1327c2
14367ca264476
151b17a2d3545
hexe99f70b7f8

1003402344440 has 128 divisors (see below), whose sum is σ = 2397862958400. Its totient is φ = 376583454720.

The previous prime is 1003402344383. The next prime is 1003402344443. The reversal of 1003402344440 is 444432043001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003402344443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422128532 + ... + 422130908.

Almost surely, 21003402344440 is an apocalyptic number.

1003402344440 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 1003402344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198931479200).

1003402344440 is an abundant number, since it is smaller than the sum of its proper divisors (1394460613960).

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

1003402344440 is a wasteful number, since it uses less digits than its factorization.

1003402344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 1003402344440 its reverse (444432043001), we get a palindrome (1447834387441).

The spelling of 1003402344440 in words is "one trillion, three billion, four hundred two million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 569 680 1091 1138 2182 2276 2377 2845 4364 4552 4754 5455 5690 8728 9508 9673 10910 11380 11885 18547 19016 19346 21820 22760 23770 37094 38692 40409 43640 47540 48365 74188 77384 80818 92735 95080 96730 148376 161636 185470 193460 202045 323272 370940 386920 404090 620779 741880 808180 1241558 1352513 1616360 2483116 2593307 2705026 3103895 4966232 5186614 5410052 6207790 6762565 10373228 10553243 10820104 12415580 12966535 13525130 20746456 21106486 22992721 24831160 25933070 27050260 42212972 44086219 45985442 51866140 52766215 54100520 84425944 88172438 91970884 103732280 105532430 114963605 176344876 183941768 211064860 220431095 229927210 352689752 422129720 440862190 459854420 881724380 919708840 1475591683 1763448760 2951183366 5902366732 7377958415 11804733464 14755916830 25085058611 29511833660 50170117222 59023667320 100340234444 125425293055 200680468888 250850586110 501701172220 1003402344440