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30314233102140 = 223251348726601233
BaseRepresentation
bin1101110010010000101010…
…00110000111111100111100
310222100000100000201021211100
412321020111012013330330
512433132022133232030
6144250055541053100
76246062645603301
oct671102506077474
9128300300637740
1030314233102140
119728215328689
1234971273b7190
1313bb809c53c90
1476b3069230a8
15378821cb3360
hex1b9215187f3c

30314233102140 has 144 divisors (see below), whose sum is σ = 99229838355648. Its totient is φ = 7446642481152.

The previous prime is 30314233102067. The next prime is 30314233102147. The reversal of 30314233102140 is 4120133241303.

It is a happy number.

30314233102140 is a `hidden beast` number, since 3 + 0 + 314 + 2 + 331 + 0 + 2 + 14 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30314233102147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12161037 + ... + 14440196.

It is an arithmetic number, because the mean of its divisors is an integer number (689096099692).

Almost surely, 230314233102140 is an apocalyptic number.

30314233102140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30314233102140 is an abundant number, since it is smaller than the sum of its proper divisors (68915605253508).

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

30314233102140 is a wasteful number, since it uses less digits than its factorization.

30314233102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26601748 (or 26601743 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30314233102140 its reverse (4120133241303), we get a palindrome (34434366343443).

The spelling of 30314233102140 in words is "thirty trillion, three hundred fourteen billion, two hundred thirty-three million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 487 585 780 974 1170 1461 1948 2340 2435 2922 4383 4870 5844 6331 7305 8766 9740 12662 14610 17532 18993 21915 25324 29220 31655 37986 43830 56979 63310 75972 87660 94965 113958 126620 189930 227916 284895 379860 569790 1139580 26601233 53202466 79803699 106404932 133006165 159607398 239411097 266012330 319214796 345816029 399018495 478822194 532024660 691632058 798036990 957644388 1037448087 1197055485 1383264116 1596073980 1729080145 2074896174 2394110970 3112344261 3458160290 4149792348 4788221940 5187240435 6224688522 6916320580 10374480870 12449377044 12954800471 15561721305 20748961740 25909600942 31123442610 38864401413 51819201884 62246885220 64774002355 77728802826 116593204239 129548004710 155457605652 168412406123 194322007065 233186408478 259096009420 336824812246 388644014130 466372816956 505237218369 582966021195 673649624492 777288028260 842062030615 1010474436738 1165932042390 1515711655107 1684124061230 2020948873476 2331864084780 2526186091845 3031423310214 3368248122460 5052372183690 6062846620428 7578558275535 10104744367380 15157116551070 30314233102140