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145312045550 = 25272471916607
BaseRepresentation
bin1000011101010101000…
…1011101100111101110
3111220002001020202022222
42013111101131213232
54340044340424200
6150431101235342
713332653002400
oct2072521354756
9456061222288
10145312045550
1156698952631
12241b4862b52
131091a278309
147066d1ab70
153ba7265d85
hex21d545d9ee

145312045550 has 144 divisors (see below), whose sum is σ = 322827337728. Its totient is φ = 48498609600.

The previous prime is 145312045547. The next prime is 145312045573. The reversal of 145312045550 is 55540213541.

It is a super-2 number, since 2×1453120455502 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145312045550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21990347 + ... + 21996953.

It is an arithmetic number, because the mean of its divisors is an integer number (2241856512).

Almost surely, 2145312045550 is an apocalyptic number.

145312045550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145312045550 is an abundant number, since it is smaller than the sum of its proper divisors (177515292178).

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

145312045550 is a wasteful number, since it uses less digits than its factorization.

145312045550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 145312045550 in words is "one hundred forty-five billion, three hundred twelve million, forty-five thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 47 49 50 70 94 98 175 191 235 245 329 350 382 470 490 658 955 1175 1225 1337 1645 1910 2303 2350 2450 2674 3290 4606 4775 6607 6685 8225 8977 9359 9550 11515 13214 13370 16450 17954 18718 23030 33035 33425 44885 46249 46795 57575 62839 66070 66850 89770 92498 93590 115150 125678 165175 224425 231245 233975 310529 314195 323743 330350 439873 448850 462490 467950 621058 628390 647486 879746 1156225 1261937 1552645 1570975 1618715 2173703 2199365 2312450 2523874 3105290 3141950 3237430 4347406 4398730 6309685 7763225 8093575 8833559 10868515 10996825 12619370 15215921 15526450 16187150 17667118 21737030 21993650 30431842 31548425 44167795 54342575 59311039 61834913 63096850 76079605 88335590 108685150 118622078 123669826 152159210 220838975 296555195 309174565 380398025 415177273 441677950 593110390 618349130 760796050 830354546 1482775975 1545872825 2075886365 2906240911 2965551950 3091745650 4151772730 5812481822 10379431825 14531204555 20758863650 29062409110 72656022775 145312045550