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114253553323455 = 357133122711894591
BaseRepresentation
bin11001111110100110111010…
…011101011100110110111111
3112222112112101120112212120220
4121332212322131130312333
5104433412234122322310
61042555205141312423
733031355363311230
oct3176467235346677
9488475346485526
10114253553323455
113344a7292a3567
121099312ba05713
134b9a0aa375420
14202dc89971087
15d31ee5428670
hex67e9ba75cdbf

114253553323455 has 128 divisors (see below), whose sum is σ = 233272551407616. Its totient is φ = 46451704435200.

The previous prime is 114253553323451. The next prime is 114253553323463. The reversal of 114253553323455 is 554323355352411.

It is a happy number.

It is not a de Polignac number, because 114253553323455 - 22 = 114253553323451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114253553323398 and 114253553323407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114253553323451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3658210 + ... + 15552800.

It is an arithmetic number, because the mean of its divisors is an integer number (1822441807872).

Almost surely, 2114253553323455 is an apocalyptic number.

114253553323455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114253553323455 is an abundant number, since it is smaller than the sum of its proper divisors (119018998084161).

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

114253553323455 is a wasteful number, since it uses less digits than its factorization.

114253553323455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894877.

The product of its digits is 16200000, while the sum is 51.

The spelling of 114253553323455 in words is "one hundred fourteen trillion, two hundred fifty-three billion, five hundred fifty-three million, three hundred twenty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 227 273 403 455 465 651 681 1085 1135 1209 1365 1589 2015 2821 2951 3255 3405 4767 6045 7037 7945 8463 8853 14105 14755 20657 21111 23835 35185 42315 44265 49259 61971 91481 103285 105555 147777 246295 274443 309855 457405 640367 738885 1372215 1921101 3201835 9605505 11894591 35683773 59472955 83262137 154629683 178418865 249786411 368732321 416310685 463889049 773148415 1082407781 1106196963 1248932055 1843661605 2319445245 2581126247 2700072157 3247223343 4793520173 5412038905 5530984815 7743378741 8100216471 12905631235 13500360785 14380560519 16236116715 18900505099 23967600865 33554641211 35100938041 38716893705 40501082355 56701515297 71902802595 83702236867 94502525495 100663923633 105302814123 167773206055 175504690205 245706566287 251106710601 283507576485 418511184335 503319618165 526514070615 585915658069 737119698861 1088129079271 1228532831435 1255533553005 1757746974207 2929578290345 3264387237813 3685598494305 5440645396355 7616903554897 8788734871035 16321936189065 22850710664691 38084517774485 114253553323455