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1003041300140 = 2251117769134871
BaseRepresentation
bin11101001100010011110…
…10111001111010101100
310112220000200011110221222
432212021322321322230
5112413212033101030
62044442452042512
7132316204243205
oct16461172717254
93486020143858
101003041300140
11357429734790
12142490603438
13737813b0619
14367943205ac
151b1587673e5
hexe989eb9eac

1003041300140 has 96 divisors (see below), whose sum is σ = 2433431766528. Its totient is φ = 343232384000.

The previous prime is 1003041300133. The next prime is 1003041300161. The reversal of 1003041300140 is 410031403001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28746905 + ... + 28781775.

It is an arithmetic number, because the mean of its divisors is an integer number (25348247568).

Almost surely, 21003041300140 is an apocalyptic number.

1003041300140 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 1003041300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216715883264).

1003041300140 is an abundant number, since it is smaller than the sum of its proper divisors (1430390466388).

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

1003041300140 is a wasteful number, since it uses less digits than its factorization.

1003041300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42599 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1003041300140 its reverse (410031403001), we get a palindrome (1413072703141).

The spelling of 1003041300140 in words is "one trillion, three billion, forty-one million, three hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 7691 15382 30764 34871 38455 69742 76910 84601 130747 139484 153820 169202 174355 261494 338404 348710 383581 423005 522988 592807 653735 697420 767162 846010 1185614 1307470 1438217 1534324 1692020 1917905 2371228 2614940 2876434 2964035 3835810 5752868 5928070 6520877 7191085 7671620 11856140 13041754 14382170 26083508 28764340 32604385 65208770 130417540 268192861 536385722 1072771444 1340964305 2681928610 2950121471 4559278637 5363857220 5900242942 9118557274 11800485884 14750607355 18237114548 22796393185 29501214710 45592786370 50152065007 59002429420 91185572740 100304130014 200608260028 250760325035 501520650070 1003041300140