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114240055150400 = 2652192197784029
BaseRepresentation
bin11001111110011010010101…
…111010000000011101000000
3112222111020112212100122011112
4121332122111322000131000
5104433202113104303100
61042545053512502452
733030400030606064
oct3176322572003500
9488436485318145
10114240055150400
1133444a3199a343
12109905a33aaa28
134b98a38a0b08a
14202d368da7aa4
15d319a53beb35
hex67e695e80740

114240055150400 has 126 divisors (see below), whose sum is σ = 296675451647910. Its totient is φ = 43290968048640.

The previous prime is 114240055150393. The next prime is 114240055150423. The reversal of 114240055150400 is 4051550042411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 298264530496 + 113941790619904 = 546136^2 + 10674352^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98314415 + ... + 99469614.

Almost surely, 2114240055150400 is an apocalyptic number.

114240055150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114240055150400 is an abundant number, since it is smaller than the sum of its proper divisors (182435396497510).

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

114240055150400 is a wasteful number, since it uses less digits than its factorization.

114240055150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197784089 (or 197784055 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 114240055150400 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-five million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 361 380 400 475 608 722 760 800 950 1216 1444 1520 1600 1805 1900 2888 3040 3610 3800 5776 6080 7220 7600 9025 11552 14440 15200 18050 23104 28880 30400 36100 57760 72200 115520 144400 288800 577600 197784029 395568058 791136116 988920145 1582272232 1977840290 3164544464 3757896551 3955680580 4944600725 6329088928 7515793102 7911361160 9889201450 12658177856 15031586204 15822722320 18789482755 19778402900 30063172408 31645444640 37578965510 39556805800 60126344816 63290889280 71400034469 75157931020 79113611600 93947413775 120252689632 142800068938 150315862040 158227223200 187894827550 240505379264 285600137876 300631724080 316454446400 357000172345 375789655100 571200275752 601263448160 714000344690 751579310200 1142400551504 1202526896320 1428000689380 1503158620400 1785000861725 2284801103008 2856001378760 3006317240800 3570001723450 4569602206016 5712002757520 6012634481600 7140003446900 11424005515040 14280006893800 22848011030080 28560013787600 57120027575200 114240055150400