Search a number
-
+
1002352156540 = 2257219369714561
BaseRepresentation
bin11101001011000001101…
…10000001111101111100
310112211020122102100122221
432211200312001331330
5112410304123002130
62044250233215124
7132263135516200
oct16454066017574
93484218370587
101002352156540
1135710572aa19
121423198614a4
13736a16a2847
143672a9b0b00
151b117edb87a
hexe960d81f7c

1002352156540 has 144 divisors (see below), whose sum is σ = 2578351214880. Its totient is φ = 325465620480.

The previous prime is 1002352156501. The next prime is 1002352156541. The reversal of 1002352156540 is 456512532001.

It is a junction number, because it is equal to n+sod(n) for n = 1002352156496 and 1002352156505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002352156541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68830860 + ... + 68845420.

It is an arithmetic number, because the mean of its divisors is an integer number (17905216770).

Almost surely, 21002352156540 is an apocalyptic number.

1002352156540 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 1002352156540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289175607440).

1002352156540 is an abundant number, since it is smaller than the sum of its proper divisors (1575999058340).

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

1002352156540 is a wasteful number, since it uses less digits than its factorization.

1002352156540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300 (or 18291 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 1002352156540 its reverse (456512532001), we get a palindrome (1458864688541).

The spelling of 1002352156540 in words is "one trillion, two billion, three hundred fifty-two million, one hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3697 3724 4655 7394 9310 14561 14788 18485 18620 25879 29122 36970 51758 58244 70243 72805 73940 101927 103516 129395 140486 145610 181153 203854 258790 276659 280972 291220 351215 362306 407708 491701 509635 517580 553318 702430 713489 724612 905765 983402 1019270 1106636 1383295 1404860 1426978 1811530 1936613 1966804 2038540 2458505 2766590 2853956 3441907 3567445 3623060 3873226 4917010 5533180 6883814 7134890 7746452 9683065 9834020 13556291 13767628 14269780 17209535 19366130 27112582 34419070 38732260 53832017 54225164 67781455 68838140 107664034 135562910 215328068 269160085 271125820 376824119 538320170 753648238 1022808323 1076640340 1507296476 1884120595 2045616646 2637768833 3768241190 4091233292 5114041615 5275537666 7159658261 7536482380 10228083230 10551075332 13188844165 14319316522 20456166460 26377688330 28638633044 35798291305 50117607827 52755376660 71596582610 100235215654 143193165220 200470431308 250588039135 501176078270 1002352156540