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1140302203020 = 2232537301956713
BaseRepresentation
bin10000100101111111010…
…011101100100010001100
311001000022121202210211200
4100211333103230202030
5122140314330444040
62231503025345500
7145245515541501
oct20457723544214
94030277683750
101140302203020
113aa6659586a2
12164bb8a98290
13836b764a296
143d295c5d4a8
151e9ddc7e630
hex1097f4ec88c

1140302203020 has 144 divisors (see below), whose sum is σ = 3553640257440. Its totient is φ = 295758978048.

The previous prime is 1140302202989. The next prime is 1140302203063. The reversal of 1140302203020 is 203022030411.

1140302203020 is a `hidden beast` number, since 1 + 1 + 40 + 302 + 20 + 302 + 0 = 666.

It is a super-2 number, since 2×11403022030202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140302202984 and 1140302203002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20078184 + ... + 20134896.

Almost surely, 21140302203020 is an apocalyptic number.

1140302203020 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 1140302203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776820128720).

1140302203020 is an abundant number, since it is smaller than the sum of its proper divisors (2413338054420).

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

1140302203020 is a wasteful number, since it uses less digits than its factorization.

1140302203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59784 (or 59779 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1140302203020 its reverse (203022030411), we get a palindrome (1343324233431).

The spelling of 1140302203020 in words is "one trillion, one hundred forty billion, three hundred two million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3019 3330 6038 6660 9057 12076 15095 18114 27171 30190 36228 45285 54342 56713 60380 90570 108684 111703 113426 135855 170139 181140 223406 226852 271710 283565 335109 340278 446812 510417 543420 558515 567130 670218 680556 850695 1005327 1020834 1117030 1134260 1340436 1675545 1701390 2010654 2041668 2098381 2234060 2552085 3351090 3402780 4021308 4196762 5026635 5104170 6295143 6702180 8393524 10053270 10208340 10491905 12590286 18885429 20106540 20983810 25180572 31475715 37770858 41967620 62951430 75541716 94427145 125902860 171216547 188854290 342433094 377708580 513649641 684866188 856082735 1027299282 1540948923 1712165470 2054598564 2568248205 3081897846 3424330940 5136496410 6163795692 6335012239 7704744615 10272992820 12670024478 15409489230 19005036717 25340048956 30818978460 31675061195 38010073434 57015110151 63350122390 76020146868 95025183585 114030220302 126700244780 190050367170 228060440604 285075550755 380100734340 570151101510 1140302203020