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1001403324240 = 2435113112236111
BaseRepresentation
bin11101001001010000100…
…10100001011101010000
310112201210112000200102220
432210220102201131100
5112401333222333430
62044012140341040
7132230464545234
oct16445022413520
93481715020386
101001403324240
113567690851a0
121420b3b44780
137357cc3c407
143667a9825c4
151b0aea66110
hexe9284a1750

1001403324240 has 160 divisors (see below), whose sum is σ = 3495808253952. Its totient is φ = 234933312000.

The previous prime is 1001403324239. The next prime is 1001403324263. The reversal of 1001403324240 is 424233041001.

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 1001403324240.

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, 6036216 + ... + 6199895.

Almost surely, 21001403324240 is an apocalyptic number.

1001403324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001403324240 is an abundant number, since it is smaller than the sum of its proper divisors (2494404929712).

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

1001403324240 is a wasteful number, since it uses less digits than its factorization.

1001403324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12236169 (or 12236163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1001403324240 its reverse (424233041001), we get a palindrome (1425636365241).

The spelling of 1001403324240 in words is "one trillion, one billion, four hundred three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 12236111 24472222 36708333 48944444 61180555 73416666 97888888 122361110 134597221 146833332 183541665 195777776 244722220 269194442 293666664 367083330 379319441 403791663 489444440 538388884 587333328 672986105 734166660 758638882 807583326 978888880 1076777768 1137958323 1345972210 1468333320 1517277764 1615166652 1896597205 2018958315 2153555536 2275916646 2691944420 2936666640 3034555528 3230333304 3793194410 4037916630 4172513851 4551833292 5383888840 5689791615 6069111056 6460666608 7586388820 8075833260 8345027702 9103666584 10767777680 11379583230 12517541553 15172777640 16151666520 16690055404 18207333168 20862569255 22759166460 25035083106 30345555280 32303333040 33380110808 41725138510 45518332920 50070166212 62587707765 66760221616 83450277020 91036665840 100140332424 125175415530 166900554040 200280664848 250350831060 333801108080 500701662120 1001403324240