Search a number
-
+
1241909954352 = 243319156796557
BaseRepresentation
bin10010000100100111100…
…110100000011100110000
311101201120211200101022000
4102010213212200130300
5130321412422014402
62350305304214000
7155503454302614
oct22044746403460
94351524611260
101241909954352
1143976687a101
1218083516a300
139015b277972
1444174631344
15224891e9c1c
hex121279a0730

1241909954352 has 160 divisors (see below), whose sum is σ = 3754793011200. Its totient is φ = 391927756032.

The previous prime is 1241909954347. The next prime is 1241909954387. The reversal of 1241909954352 is 2534599091421.

1241909954352 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 9 + 0 + 99 + 543 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12813658 + ... + 12910214.

It is an arithmetic number, because the mean of its divisors is an integer number (23467456320).

Almost surely, 21241909954352 is an apocalyptic number.

1241909954352 is a gapful number since it is divisible by the number (12) 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 1241909954352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877396505600).

1241909954352 is an abundant number, since it is smaller than the sum of its proper divisors (2512883056848).

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

1241909954352 is a wasteful number, since it uses less digits than its factorization.

1241909954352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98160 (or 98148 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1241909954352 in words is "one trillion, two hundred forty-one billion, nine hundred nine million, nine hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1567 2052 2736 3134 4104 4701 6268 8208 9402 12536 14103 18804 25072 28206 29773 37608 42309 56412 59546 75216 84618 89319 96557 112824 119092 169236 178638 193114 225648 238184 267957 289671 338472 357276 386228 476368 535914 579342 676944 714552 772456 803871 869013 1071828 1158684 1429104 1544912 1607742 1738026 1834583 2143656 2317368 2607039 3215484 3476052 3669166 4287312 4634736 5214078 5503749 6430968 6952104 7338332 10428156 11007498 12861936 13904208 14676664 16511247 20856312 22014996 29353328 33022494 41712624 44029992 49533741 66044988 88059984 99067482 132089976 151304819 198134964 264179952 302609638 396269928 453914457 605219276 792539856 907828914 1210438552 1361743371 1815657828 2420877104 2723486742 2874791561 3631315656 4085230113 5446973484 5749583122 7262631312 8170460226 8624374683 10893946968 11499166244 16340920452 17248749366 21787893936 22998332488 25873124049 32681840904 34497498732 45996664976 51746248098 65363681808 68994997464 77619372147 103492496196 137989994928 155238744294 206984992392 310477488588 413969984784 620954977176 1241909954352