Search a number
-
+
114030040104300 = 2235217146857152249
BaseRepresentation
bin11001111011010110110000…
…000010001011110101101100
3112221202011110112222220011210
4121323112300002023311230
5104421232010231314200
61042304402141314420
733006253460302665
oct3173266002136554
9487664415886153
10114030040104300
1133373960977841
1210957951865a10
134b81ca9864128
142023124b6836c
15d2b2b2ab9650
hex67b5b008bd6c

114030040104300 has 144 divisors (see below), whose sum is σ = 349339054932000. Its totient is φ = 28618921328640.

The previous prime is 114030040104287. The next prime is 114030040104307. The reversal of 114030040104300 is 3401040030411.

114030040104300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114030040104307) 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, 748894576 + ... + 749046824.

It is an arithmetic number, because the mean of its divisors is an integer number (2425965659250).

Almost surely, 2114030040104300 is an apocalyptic number.

114030040104300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114030040104300 is an abundant number, since it is smaller than the sum of its proper divisors (235309014827700).

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

114030040104300 is a wasteful number, since it uses less digits than its factorization.

114030040104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299140 (or 299133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114030040104300 its reverse (3401040030411), we get a palindrome (117431080134711).

The spelling of 114030040104300 in words is "one hundred fourteen trillion, thirty billion, forty million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 146857 152249 293714 304498 440571 456747 587428 608996 734285 761245 881142 913494 1468570 1522490 1762284 1826988 2202855 2283735 2496569 2588233 2937140 3044980 3671425 3806225 4405710 4567470 4993138 5176466 7342850 7489707 7612450 7764699 8811420 9134940 9986276 10352932 11014275 11418675 12482845 12941165 14685700 14979414 15224900 15529398 22028550 22837350 24965690 25882330 29958828 31058796 37448535 38823495 44057100 45674700 49931380 51764660 62414225 64705825 74897070 77646990 124828450 129411650 149794140 155293980 187242675 194117475 249656900 258823300 374485350 388234950 748970700 776469900 22358831393 44717662786 67076494179 89435325572 111794156965 134152988358 223588313930 268305976716 335382470895 380100133681 447176627860 558970784825 670764941790 760200267362 1117941569650 1140300401043 1341529883580 1520400534724 1676912354475 1900500668405 2235883139300 2280600802086 3353824708950 3801001336810 4561201604172 5701502005215 6707649417900 7602002673620 9502503342025 11403004010430 19005006684050 22806008020860 28507510026075 38010013368100 57015020052150 114030040104300