Search a number
-
+
1456913428080 = 243511790169847
BaseRepresentation
bin10101001100110110110…
…011101010111001110000
312011021112210122111112120
4111030312303222321300
5142332224314144310
63033144034554240
7210154446544545
oct25146663527160
95137483574476
101456913428080
11511967715170
121b6439438980
13a7503a5b036
145072d19cbcc
1527d6e91cb70
hex15336ceae70

1456913428080 has 160 divisors (see below), whose sum is σ = 4927710463488. Its totient is φ = 353141376000.

The previous prime is 1456913428073. The next prime is 1456913428097. The reversal of 1456913428080 is 808243196541.

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, 20823717 + ... + 20893563.

Almost surely, 21456913428080 is an apocalyptic number.

1456913428080 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 1456913428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463855231744).

1456913428080 is an abundant number, since it is smaller than the sum of its proper divisors (3470797035408).

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

1456913428080 is a wasteful number, since it uses less digits than its factorization.

1456913428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77775 (or 77769 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1456913428080 in words is "one trillion, four hundred fifty-six billion, nine hundred thirteen million, four hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7901 15802 23703 31604 39505 47406 63208 69847 79010 86911 94812 118515 126416 139694 158020 173822 189624 209541 237030 260733 279388 316040 347644 349235 379248 419082 434555 474060 521466 558776 632080 695288 698470 768317 838164 869110 948120 1042932 1047705 1117552 1303665 1390576 1396940 1536634 1676328 1738220 1896240 2085864 2095410 2304951 2607330 2793880 3073268 3352656 3476440 3841585 4171728 4190820 4609902 5214660 5587760 6146536 6952880 7683170 8381640 9219804 10429320 11524755 12293072 15366340 16763280 18439608 20858640 23049510 30732680 36879216 46099020 61465360 92198040 184396080 551861147 1103722294 1655583441 2207444588 2759305735 3311166882 4414889176 5518611470 6070472617 6622333764 8277917205 8829778352 11037222940 12140945234 13244667528 16555834410 18211417851 22074445880 24281890468 26489335056 30352363085 33111668820 36422835702 44148891760 48563780936 60704726170 66223337640 72845671404 91057089255 97127561872 121409452340 132446675280 145691342808 182114178510 242818904680 291382685616 364228357020 485637809360 728456714040 1456913428080