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145410987960 = 23325757702773
BaseRepresentation
bin1000011101101100101…
…0111001011110111000
3111220022221102112210200
42013123022321132320
54340300203103320
6150444554042200
713335264001260
oct2073312713670
9456287375720
10145410987960
1156739791517
1224221a19360
131093490b614
1470761147a0
153bb0cac290
hex21db2b97b8

145410987960 has 96 divisors (see below), whose sum is σ = 540097964640. Its totient is φ = 33236796672.

The previous prime is 145410987859. The next prime is 145410987973. The reversal of 145410987960 is 69789014541.

145410987960 is a `hidden beast` number, since 1 + 4 + 541 + 0 + 9 + 8 + 7 + 96 + 0 = 666.

It is a super-2 number, since 2×1454109879602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145410987897 and 145410987906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28848867 + ... + 28853906.

It is an arithmetic number, because the mean of its divisors is an integer number (5626020465).

Almost surely, 2145410987960 is an apocalyptic number.

145410987960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145410987960 is an abundant number, since it is smaller than the sum of its proper divisors (394686976680).

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

145410987960 is a wasteful number, since it uses less digits than its factorization.

145410987960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57702797 (or 57702790 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 145410987960 in words is "one hundred forty-five billion, four hundred ten million, nine hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 57702773 115405546 173108319 230811092 288513865 346216638 403919411 461622184 519324957 577027730 692433276 807838822 865541595 1038649914 1154055460 1211758233 1384866552 1615677644 1731083190 2019597055 2077299828 2308110920 2423516466 2596624785 3231355288 3462166380 3635274699 4039194110 4154599656 4847032932 5193249570 6058791165 6924332760 7270549398 8078388220 9694065864 10386499140 12117582330 14541098796 16156776440 18176373495 20772998280 24235164660 29082197592 36352746990 48470329320 72705493980 145410987960