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314555142000 = 24353114765987
BaseRepresentation
bin1001001001111001111…
…00101000111101110000
31010001220212222211222110
410210330330220331300
520123202104021000
6400301000205320
731503653406561
oct4447474507560
91101825884873
10314555142000
111114471a4980
1250b67a69840
132387c45b578
1411320246168
1582b03ed850
hex493cf28f70

314555142000 has 160 divisors (see below), whose sum is σ = 1106319262464. Its totient is φ = 76255776000.

The previous prime is 314555141993. The next prime is 314555142001. The reversal of 314555142000 is 241555413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314555142001) 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, 2316994 + ... + 2448993.

Almost surely, 2314555142000 is an apocalyptic number.

314555142000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314555142000 is an abundant number, since it is smaller than the sum of its proper divisors (791764120464).

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

314555142000 is a wasteful number, since it uses less digits than its factorization.

314555142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766024 (or 4766008 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 314555142000 its reverse (241555413), we get a palindrome (314796697413).

The spelling of 314555142000 in words is "three hundred fourteen billion, five hundred fifty-five million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 4765987 9531974 14297961 19063948 23829935 28595922 38127896 47659870 52425857 57191844 71489805 76255792 95319740 104851714 114383688 119149675 142979610 157277571 190639480 209703428 228767376 238299350 262129285 285959220 314555142 357449025 381278960 419406856 476598700 524258570 571918440 595748375 629110284 714898050 786387855 838813712 953197400 1048517140 1143836880 1191496750 1258220568 1310646425 1429796100 1572775710 1787245125 1906394800 2097034280 2382993500 2516441136 2621292850 2859592200 3145551420 3574490250 3931939275 4194068560 4765987000 5242585700 5719184400 6291102840 6553232125 7148980500 7863878550 9531974000 10485171400 12582205680 13106464250 14297961000 15727757100 19659696375 20970342800 26212928500 28595922000 31455514200 39319392750 52425857000 62911028400 78638785500 104851714000 157277571000 314555142000