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400144133421552 = 243132471049519843
BaseRepresentation
bin101101011111011011101000…
…0111011100111100111110000
31221110210101221122201120022010
41122332313100323213213300
5404421430141123442202
63535011402134242520
7150166313435536332
oct13276672073474760
91843711848646263
10400144133421552
111065531a0642603
1238a667447b6440
1314237578577400
1470b5117bdb452
15313da01b7c76c
hex16bedd0ee79f0

400144133421552 has 120 divisors (see below), whose sum is σ = 1143153806402304. Its totient is φ = 120501670179072.

The previous prime is 400144133421517. The next prime is 400144133421559. The reversal of 400144133421552 is 255124331441004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400144133421552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400144133421559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524378658 + ... + 525141185.

Almost surely, 2400144133421552 is an apocalyptic number.

It is an amenable number.

400144133421552 is an abundant number, since it is smaller than the sum of its proper divisors (743009672980752).

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

400144133421552 is a wasteful number, since it uses less digits than its factorization.

400144133421552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049519927 (or 1049519908 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 400144133421552 its reverse (255124331441004), we get a palindrome (655268464862556).

The spelling of 400144133421552 in words is "four hundred trillion, one hundred forty-four billion, one hundred thirty-three million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 169 188 208 282 312 338 376 507 564 611 624 676 752 1014 1128 1222 1352 1833 2028 2256 2444 2704 3666 4056 4888 7332 7943 8112 9776 14664 15886 23829 29328 31772 47658 63544 95316 127088 190632 381264 1049519843 2099039686 3148559529 4198079372 6297119058 8396158744 12594238116 13643757959 16792317488 25188476232 27287515918 40931273877 49327432621 50376952464 54575031836 81862547754 98654865242 109150063672 147982297863 163725095508 177368853467 197309730484 218300127344 295964595726 327450191016 354737706934 394619460968 532106560401 591929191452 641256624073 654900382032 709475413868 789238921936 1064213120802 1183858382904 1282513248146 1418950827736 1923769872219 2128426241604 2367716765808 2565026496292 2837901655472 3847539744438 4256852483208 5130052992584 7695079488876 8336336112949 8513704966416 10260105985168 15390158977752 16672672225898 25009008338847 30780317955504 33345344451796 50018016677694 66690688903592 100036033355388 133381377807184 200072066710776 400144133421552