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1054432433145 = 357135959322079
BaseRepresentation
bin11110101100000010001…
…00100001001111111001
310201210200012122112022110
433112001010201033321
5114233434200330040
62124222150242533
7136115550541260
oct17260104411771
93653605575273
101054432433145
1137720068a633
12150433356449
1378581415b70
143906b6d55d7
151c6652ee980
hexf5811213f9

1054432433145 has 128 divisors (see below), whose sum is σ = 2115271065600. Its totient is φ = 436648439808.

The previous prime is 1054432433107. The next prime is 1054432433183. The reversal of 1054432433145 is 5413342344501.

It is an interprime number because it is at equal distance from previous prime (1054432433107) and next prime (1054432433183).

It is not a de Polignac number, because 1054432433145 - 210 = 1054432432121 is a prime.

It is a super-2 number, since 2×10544324331452 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47746216 + ... + 47768294.

It is an arithmetic number, because the mean of its divisors is an integer number (16525555200).

Almost surely, 21054432433145 is an apocalyptic number.

1054432433145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054432433145 is an abundant number, since it is smaller than the sum of its proper divisors (1060838632455).

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

1054432433145 is a wasteful number, since it uses less digits than its factorization.

1054432433145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 1054432433145 its reverse (5413342344501), we get a palindrome (6467774777646).

The spelling of 1054432433145 in words is "one trillion, fifty-four billion, four hundred thirty-two million, four hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 59 65 91 105 177 195 273 295 413 455 593 767 885 1239 1365 1779 2065 2301 2965 3835 4151 5369 6195 7709 8895 11505 12453 16107 20755 22079 23127 26845 34987 38545 53963 62265 66237 80535 104961 110395 115635 154553 161889 174935 244909 269815 287027 331185 454831 463659 524805 734727 772765 809445 861081 1224545 1302661 1364493 1435135 2009189 2274155 2318295 3183817 3673635 3907983 4305405 6027567 6513305 6822465 9118627 9551451 10045945 13092847 15919085 16934593 19539915 27355881 30137835 39278541 45593135 47757255 50803779 65464235 84672965 91649929 118542151 136779405 170207011 196392705 254018895 274949787 355626453 458249645 510621033 592710755 772477973 851035055 1191449077 1374748935 1778132265 2317433919 2553105165 3574347231 3862389865 5407345811 5957245385 10042213649 11587169595 16222037433 17871736155 27036729055 30126640947 50211068245 70295495543 81110187165 150633204735 210886486629 351477477715 1054432433145