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145130836950 = 232521150115851
BaseRepresentation
bin1000011100101001111…
…0001101001111010110
3111212121102021101212100
42013022132031033112
54334211443240300
6150401105302530
713325322521421
oct2071236151726
9455542241770
10145130836950
1156605634960
1224164034a46
13108bb8702a8
14704ac2a9b8
153b963be700
hex21ca78d3d6

145130836950 has 144 divisors (see below), whose sum is σ = 425522889792. Its totient is φ = 35170200000.

The previous prime is 145130836943. The next prime is 145130837011. The reversal of 145130836950 is 59638031541.

145130836950 is a `hidden beast` number, since 1 + 4 + 513 + 0 + 83 + 6 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 145130836896 and 145130836905.

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, 24801525 + ... + 24807375.

It is an arithmetic number, because the mean of its divisors is an integer number (2955020068).

Almost surely, 2145130836950 is an apocalyptic number.

145130836950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145130836950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212761444896).

145130836950 is an abundant number, since it is smaller than the sum of its proper divisors (280392052842).

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

145130836950 is a wasteful number, since it uses less digits than its factorization.

145130836950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 145130836950 in words is "one hundred forty-five billion, one hundred thirty million, eight hundred thirty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 5011 5851 10022 11702 15033 17553 25055 29255 30066 35106 45099 50110 52659 55121 58510 64361 75165 87765 90198 105318 110242 125275 128722 146275 150330 165363 175530 193083 225495 250550 263295 275605 292550 321805 330726 375825 386166 438825 450990 496089 526590 551210 579249 643610 751650 826815 877650 965415 992178 1127475 1158498 1316475 1378025 1609025 1653630 1930830 2254950 2480445 2632950 2756050 2896245 3218050 4134075 4827075 4960890 5792490 8268150 9654150 12402225 14481225 24804450 28962450 29319361 58638722 87958083 146596805 175916166 263874249 293193610 322512971 439790415 527748498 645025942 732984025 879580830 967538913 1319371245 1465968050 1612564855 1935077826 2198952075 2638742490 2902616739 3225129710 4397904150 4837694565 5805233478 6596856225 8062824275 9675389130 13193712450 14513083695 16125648550 24188472825 29026167390 48376945650 72565418475 145130836950