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1003032042240 = 28351180722123
BaseRepresentation
bin11101001100010010101…
…11100101101100000000
310112220000000202010111210
432212021113211230000
5112413202200322430
62044441521410120
7132316032454224
oct16461127455400
93486000663453
101003032042240
11357424491128
12142489499940
137377c4bb787
1436792dd0784
151b157a392b0
hexe9895e5b00

1003032042240 has 144 divisors (see below), whose sum is σ = 3203849714688. Its totient is φ = 267440467968.

The previous prime is 1003032042197. The next prime is 1003032042241. The reversal of 1003032042240 is 422402303001.

It is not an unprimeable number, because it can be changed into a prime (1003032042241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45327819 + ... + 45349941.

It is an arithmetic number, because the mean of its divisors is an integer number (22248956352).

Almost surely, 21003032042240 is an apocalyptic number.

1003032042240 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 1003032042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601924857344).

1003032042240 is an abundant number, since it is smaller than the sum of its proper divisors (2200817672448).

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

1003032042240 is a wasteful number, since it uses less digits than its factorization.

1003032042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33954 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1003032042240 its reverse (422402303001), we get a palindrome (1425434345241).

The spelling of 1003032042240 in words is "one trillion, three billion, thirty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 11807 22123 23614 35421 44246 47228 59035 66369 70842 88492 94456 110615 118070 132738 141684 176984 177105 188912 221230 236140 265476 283368 331845 353968 354210 377824 442460 472280 530952 566736 663690 707936 708420 755648 884920 944560 1061904 1133472 1327380 1415872 1416840 1511296 1769840 1889120 2123808 2266944 2654760 2831744 2833680 3022592 3539680 3778240 4247616 4533888 5309520 5663488 5667360 7079360 7556480 8495232 9067776 10619040 11334720 14158720 15112960 16990464 21238080 22669440 28317440 42476160 45338880 84952320 261206261 522412522 783618783 1044825044 1306031305 1567237566 2089650088 2612062610 3134475132 3918093915 4179300176 5224125220 6268950264 7836187830 8358600352 10448250440 12537900528 15672375660 16717200704 20896500880 25075801056 31344751320 33434401408 41793001760 50151602112 62689502640 66868802816 83586003520 100303204224 125379005280 167172007040 200606408448 250758010560 334344014080 501516021120 1003032042240