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151423142104400 = 24521741543124613
BaseRepresentation
bin100010011011011111110010…
…100110001000110101010000
3201212010220121010102022002012
4202123133302212020311100
5124321404043334320100
61254014455310242052
743615650423066515
oct4233376246106520
9655126533368065
10151423142104400
1144280215141071
1214b9699bab6328
1366651aaac808a
142956cc234530c
151278ce40be135
hex89b7f2988d50

151423142104400 has 120 divisors (see below), whose sum is σ = 394588722064824. Its totient is φ = 55615960268800.

The previous prime is 151423142104397. The next prime is 151423142104411. The reversal of 151423142104400 is 4401241324151.

It can be written as a sum of positive squares in 12 ways, for example, as 37337330343184 + 114085811761216 = 6110428^2 + 10681096^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271283507 + ... + 271841106.

Almost surely, 2151423142104400 is an apocalyptic number.

151423142104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151423142104400 is an abundant number, since it is smaller than the sum of its proper divisors (243165579960424).

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

151423142104400 is a wasteful number, since it uses less digits than its factorization.

151423142104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543124689 (or 543124678 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 151423142104400 its reverse (4401241324151), we get a palindrome (155824383428551).

The spelling of 151423142104400 in words is "one hundred fifty-one trillion, four hundred twenty-three billion, one hundred forty-two million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 41 50 68 80 82 85 100 136 164 170 200 205 272 328 340 400 410 425 656 680 697 820 850 1025 1360 1394 1640 1700 2050 2788 3280 3400 3485 4100 5576 6800 6970 8200 11152 13940 16400 17425 27880 34850 55760 69700 139400 278800 543124613 1086249226 2172498452 2715623065 4344996904 5431246130 8689993808 9233118421 10862492260 13578115325 18466236842 21724984520 22268109133 27156230650 36932473684 43449969040 44536218266 46165592105 54312461300 73864947368 89072436532 92331184210 108624922600 111340545665 147729894736 178144873064 184662368420 217249845200 222681091330 230827960525 356289746128 369324736840 378557855261 445362182660 461655921050 556702728325 738649473680 757115710522 890724365320 923311842100 1113405456650 1514231421044 1781448730640 1846623684200 1892789276305 2226810913300 3028462842088 3693247368400 3785578552610 4453621826600 6056925684176 7571157105220 8907243653200 9463946381525 15142314210440 18927892763050 30284628420880 37855785526100 75711571052200 151423142104400