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2300155340040 = 233354745314329
BaseRepresentation
bin100001011110001011111…
…100010010010100001000
322010220002210001222012000
4201132023330102110020
5300141204231340130
64520402103351000
7325115664541005
oct41361374222410
98126083058160
102300155340040
118075437a7388
12311951452460
13138b9961165c
147d4844aa8ac
153ec74123260
hex2178bf12508

2300155340040 has 128 divisors (see below), whose sum is σ = 7830316224000. Its totient is φ = 600324217344.

The previous prime is 2300155340033. The next prime is 2300155340057. The reversal of 2300155340040 is 400435510032.

2300155340040 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 553 + 40 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2300155339986 and 2300155340013.

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, 22606405 + ... + 22707924.

It is an arithmetic number, because the mean of its divisors is an integer number (61174345500).

Almost surely, 22300155340040 is an apocalyptic number.

2300155340040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300155340040 is an abundant number, since it is smaller than the sum of its proper divisors (5530160883960).

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

2300155340040 is a wasteful number, since it uses less digits than its factorization.

2300155340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45314396 (or 45314386 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2300155340040 in words is "two trillion, three hundred billion, one hundred fifty-five million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 45314329 90628658 135942987 181257316 226571645 271885974 362514632 407828961 453143290 543771948 679714935 815657922 906286580 1087543896 1223486883 1359429870 1631315844 1812573160 2039144805 2129773463 2446973766 2718859740 3262631688 4078289610 4259546926 4893947532 5437719480 6117434415 6389320389 8156579220 8519093852 9787895064 10648867315 12234868830 12778640778 16313158440 17038187704 19167961167 21297734630 24469737660 25557281556 31946601945 38335922334 42595469260 48939475320 51114563112 57503883501 63893203890 76671844668 85190938520 95839805835 115007767002 127786407780 153343689336 191679611670 230015534004 255572815560 287519417505 383359223340 460031068008 575038835010 766718446680 1150077670020 2300155340040