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114545301015320 = 23573786312811699
BaseRepresentation
bin11010000010110110100111…
…111110100100101100011000
3120000120102102222022012201222
4122002312213332210230120
5110003202234024442240
61043341215043031212
733061424224626320
oct3202664776445430
9500512388265658
10114545301015320
113355243126259a
1210a1b79166b508
134bbb7635c0a66
142040044acc280
15d398bd39deb5
hex682da7fa4b18

114545301015320 has 128 divisors (see below), whose sum is σ = 302856288768000. Its totient is φ = 38166970784256.

The previous prime is 114545301015307. The next prime is 114545301015329. The reversal of 114545301015320 is 23510103545411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114545301015329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2534831 + ... + 15346529.

It is an arithmetic number, because the mean of its divisors is an integer number (2366064756000).

Almost surely, 2114545301015320 is an apocalyptic number.

114545301015320 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 114545301015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151428144384000).

114545301015320 is an abundant number, since it is smaller than the sum of its proper divisors (188310987752680).

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

114545301015320 is a wasteful number, since it uses less digits than its factorization.

114545301015320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812617 (or 12812613 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 114545301015320 in words is "one hundred fourteen trillion, five hundred forty-five billion, three hundred one million, fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 863 1036 1295 1480 1726 2072 2590 3452 4315 5180 6041 6904 8630 10360 12082 17260 24164 30205 31931 34520 48328 60410 63862 120820 127724 159655 223517 241640 255448 319310 447034 638620 894068 1117585 1277240 1788136 2235170 4470340 8940680 12811699 25623398 51246796 64058495 89681893 102493592 128116990 179363786 256233980 358727572 448409465 474032863 512467960 717455144 896818930 948065726 1793637860 1896131452 2370164315 3318230041 3587275720 3792262904 4740328630 6636460082 9480657260 11056496237 13272920164 16591150205 18961314520 22112992474 26545840328 33182300410 44225984948 55282481185 66364600820 77395473659 88451969896 110564962370 132729201640 154790947318 221129924740 309581894636 386977368295 409090360769 442259849480 619163789272 773954736590 818180721538 1547909473180 1636361443076 2045451803845 2863632525383 3095818946360 3272722886152 4090903607690 5727265050766 8181807215380 11454530101532 14318162626915 16363614430760 22909060203064 28636325253830 57272650507660 114545301015320