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145310530004544 = 26347110571456333
BaseRepresentation
bin100001000010100010111110…
…100001011110011001000000
3201001111112212200100100102210
4201002202332201132121000
5123021231431140121134
61233014422543142120
742415224252400362
oct4102427641363100
9631445780310383
10145310530004544
1142333938a4a2a3
121436a1a25a4940
13631095504cb88
1427c50d24a0d32
1511becd8a6d2e9
hex8428be85e640

145310530004544 has 112 divisors (see below), whose sum is σ = 392683383214848. Its totient is φ = 47401952206848.

The previous prime is 145310530004533. The next prime is 145310530004551. The reversal of 145310530004544 is 445400035013541.

It is a super-2 number, since 2×1453105300045442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99050202 + ... + 100506534.

Almost surely, 2145310530004544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145310530004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196341691607424).

145310530004544 is an abundant number, since it is smaller than the sum of its proper divisors (247372853210304).

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

145310530004544 is a wasteful number, since it uses less digits than its factorization.

145310530004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467452 (or 1467442 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 145310530004544 in words is "one hundred forty-five trillion, three hundred ten billion, five hundred thirty million, four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 11057 22114 33171 44228 66342 88456 132684 176912 265368 353824 519679 530736 707648 1039358 1061472 1456333 1559037 2078716 2122944 2912666 3118074 4157432 4368999 5825332 6236148 8314864 8737998 11650664 12472296 16629728 17475996 23301328 24944592 33259456 34951992 46602656 49889184 68447651 69903984 93205312 99778368 136895302 139807968 205342953 273790604 279615936 410685906 547581208 821371812 1095162416 1642743624 2190324832 3285487248 4380649664 6570974496 13141948992 16102673981 32205347962 48308021943 64410695924 96616043886 128821391848 193232087772 257642783696 386464175544 515285567392 756825677107 772928351088 1030571134784 1513651354214 1545856702176 2270477031321 3027302708428 3091713404352 4540954062642 6054605416856 9081908125284 12109210833712 18163816250568 24218421667424 36327632501136 48436843334848 72655265002272 145310530004544