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150311827825340 = 225177110758193183
BaseRepresentation
bin100010001011010100110011…
…000110100110001010111100
3201201012200002201112121021212
4202023110303012212022330
5124200202110410402330
61251404144520343552
743442446134425606
oct4213246306461274
9651180081477255
10150311827825340
1143991985205825
1214a37533014bb8
1365b4462c6822c
1429191ba35c176
151259e5019e295
hex88b5331a62bc

150311827825340 has 96 divisors (see below), whose sum is σ = 342097710280704. Its totient is φ = 55269556536320.

The previous prime is 150311827825331. The next prime is 150311827825349. The reversal of 150311827825340 is 43528728113051.

It is an interprime number because it is at equal distance from previous prime (150311827825331) and next prime (150311827825349).

It is a super-2 number, since 2×1503118278253402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150311827825349) 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, 26513612 + ... + 31679571.

It is an arithmetic number, because the mean of its divisors is an integer number (3563517815424).

Almost surely, 2150311827825340 is an apocalyptic number.

150311827825340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150311827825340 is an abundant number, since it is smaller than the sum of its proper divisors (191785882455364).

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

150311827825340 is a wasteful number, since it uses less digits than its factorization.

150311827825340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58193387 (or 58193385 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 150311827825340 in words is "one hundred fifty trillion, three hundred eleven billion, eight hundred twenty-seven million, eight hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 107 142 170 214 284 340 355 428 535 710 1070 1207 1420 1819 2140 2414 3638 4828 6035 7276 7597 9095 12070 15194 18190 24140 30388 36380 37985 75970 129149 151940 258298 516596 645745 1291490 2582980 58193183 116386366 232772732 290965915 581931830 989284111 1163863660 1978568222 3957136444 4131715993 4946420555 6226670581 8263431986 9892841110 12453341162 16526863972 19785682220 20658579965 24906682324 31133352905 41317159930 62266705810 70239171881 82634319860 105853399877 124533411620 140478343762 211706799754 280956687524 351195859405 423413599508 442093611251 529266999385 702391718810 884187222502 1058533998770 1404783437620 1768374445004 2117067997540 2210468056255 4420936112510 7515591391267 8841872225020 15031182782534 30062365565068 37577956956335 75155913912670 150311827825340