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150478356709444 = 2217279245672
BaseRepresentation
bin100010001101101111111000…
…111111111000000001000100
3201201210120221102000102120011
4202031233320333320001010
5124210414133304200234
61252012445220320004
743460462646534421
oct4215577077700104
9651716842012504
10150478356709444
1143a46570444175
1214a63869243004
1365c7081a29a8a
142923296dd4d48
15125e449de5b64
hex88dbf8ff8044

150478356709444 has 81 divisors (see below), whose sum is σ = 283386614876253. Its totient is φ = 69901663718016.

The previous prime is 150478356709409. The next prime is 150478356709501. The reversal of 150478356709444 is 444907653874051.

The square root of 150478356709444 is 12266962.

It is a perfect power (a square), and thus also a powerful number.

150478356709444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117154429964100 + 33323926745344 = 10823790^2 + 5772688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 150478356709444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32949057649 + ... + 32949062215.

Almost surely, 2150478356709444 is an apocalyptic number.

150478356709444 is the 12266962-nd square number.

It is an amenable number.

150478356709444 is a deficient number, since it is larger than the sum of its proper divisors (132908258166809).

150478356709444 is an frugal number, since it uses more digits than its factorization.

150478356709444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 67.

The spelling of 150478356709444 in words is "one hundred fifty trillion, four hundred seventy-eight billion, three hundred fifty-six million, seven hundred nine thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 79 158 289 316 578 1156 1343 2686 4567 5372 6241 9134 12482 18268 22831 24964 45662 77639 91324 106097 155278 212194 310556 360793 424388 721586 1319863 1443172 1803649 2639726 3607298 5279452 6133481 7214596 12266962 20857489 24533924 28502647 41714978 57005294 83429956 104269177 114010588 208538354 354577313 417076708 484544999 709154626 969089998 1418309252 1647741631 1938179996 3295483262 6027814321 6590966524 8237264983 12055628642 16474529966 24111257284 28011607727 32949059932 56023215454 112046430908 130171588849 260343177698 476197331359 520686355396 952394662718 1904789325436 2212917010433 4425834020866 8851668041732 37619589177361 75239178354722 150478356709444