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2154431214320 = 245711719486433
BaseRepresentation
bin11111010110011110000…
…110110111001011110000
321121221222000102101010112
4133112132012313023300
5240244233342324240
64325422041520452
7311436546111350
oct37263606671360
97557860371115
102154431214320
11760764288930
122a96627a3128
13128214b85428
14763bc962b60
153b095b0e665
hex1f59e1b72f0

2154431214320 has 160 divisors (see below), whose sum is σ = 6253751162880. Its totient is φ = 670575697920.

The previous prime is 2154431214263. The next prime is 2154431214373. The reversal of 2154431214320 is 234121344512.

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, 4185824 + ... + 4672256.

It is an arithmetic number, because the mean of its divisors is an integer number (39085944768).

Almost surely, 22154431214320 is an apocalyptic number.

2154431214320 is a gapful number since it is divisible by the number (20) 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 2154431214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126875581440).

2154431214320 is an abundant number, since it is smaller than the sum of its proper divisors (4099319948560).

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

2154431214320 is a wasteful number, since it uses less digits than its factorization.

2154431214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487183 (or 487177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 2154431214320 its reverse (234121344512), we get a palindrome (2388552558832).

The spelling of 2154431214320 in words is "two trillion, one hundred fifty-four billion, four hundred thirty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 719 770 880 1232 1438 1540 2876 3080 3595 5033 5752 6160 7190 7909 10066 11504 14380 15818 20132 25165 28760 31636 39545 40264 50330 55363 57520 63272 79090 80528 100660 110726 126544 158180 201320 221452 276815 316360 402640 442904 486433 553630 632720 885808 972866 1107260 1945732 2214520 2432165 3405031 3891464 4429040 4864330 5350763 6810062 7782928 9728660 10701526 13620124 17025155 19457320 21403052 26753815 27240248 34050310 37455341 38914640 42806104 53507630 54480496 68100620 74910682 85612208 107015260 136201240 149821364 187276705 214030520 272402480 299642728 349745327 374553410 428061040 599285456 699490654 749106820 1398981308 1498213640 1748726635 2448217289 2797962616 2996427280 3497453270 3847198597 4896434578 5595925232 6994906540 7694397194 9792869156 12241086445 13989813080 15388794388 19235992985 19585738312 24482172890 26930390179 27979626160 30777588776 38471985970 39171476624 48964345780 53860780358 61555177552 76943971940 97928691560 107721560716 134651950895 153887943880 195857383120 215443121432 269303901790 307775887760 430886242864 538607803580 1077215607160 2154431214320