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145332432511320 = 233530231086136887
BaseRepresentation
bin100001000010110111011000…
…000000111010000101011000
3201001120122102002202222100110
4201002313120000322011120
5123022111310210330240
61233032444154004320
742416631105544305
oct4102673000720530
9631518362688313
10145332432511320
114234215838686a
12143724957166a0
136312a35928362
1427c61ad3040ac
1511c066b83ec80
hex842dd803a158

145332432511320 has 128 divisors (see below), whose sum is σ = 436193505699840. Its totient is φ = 38737877859840.

The previous prime is 145332432511297. The next prime is 145332432511339. The reversal of 145332432511320 is 23115234233541.

It is a happy number.

It is a super-2 number, since 2×1453324325113202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939917917 + ... + 3939954803.

It is an arithmetic number, because the mean of its divisors is an integer number (3407761763280).

Almost surely, 2145332432511320 is an apocalyptic number.

145332432511320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145332432511320 is an abundant number, since it is smaller than the sum of its proper divisors (290861073188520).

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

145332432511320 is a wasteful number, since it uses less digits than its factorization.

145332432511320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50785 (or 50781 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 145332432511320 its reverse (23115234233541), we get a palindrome (168447666744861).

The spelling of 145332432511320 in words is "one hundred forty-five trillion, three hundred thirty-two billion, four hundred thirty-two million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3023 6046 9069 10861 12092 15115 18138 21722 24184 30230 32583 36276 36887 43444 45345 54305 60460 65166 72552 73774 86888 90690 108610 110661 120920 130332 147548 162915 181380 184435 217220 221322 260664 295096 325830 362760 368870 434440 442644 553305 651660 737740 885288 1106610 1303320 1475480 2213220 4426440 32832803 65665606 98498409 111509401 131331212 164164015 196996818 223018802 262662424 328328030 334528203 393993636 400629707 446037604 492492045 557547005 656656060 669056406 787987272 801259414 892075208 984984090 1115094010 1201889121 1313312120 1338112812 1602518828 1672641015 1969968180 2003148535 2230188020 2403778242 2676225624 3205037656 3345282030 3939936360 4006297070 4460376040 4807556484 6009445605 6690564060 8012594140 9615112968 12018891210 13381128120 16025188280 24037782420 48075564840 1211103604261 2422207208522 3633310812783 4844414417044 6055518021305 7266621625566 9688828834088 12111036042610 14533243251132 18166554063915 24222072085220 29066486502264 36333108127830 48444144170440 72666216255660 145332432511320