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42961401711872 = 287199713008137
BaseRepresentation
bin10011100010010101110110…
…00101101000110100000000
312122010001212221201002110122
421301022323011220310000
521112334422314234442
6231212110120315412
712022600404212420
oct1161127305506400
9178101787632418
1042961401711872
11127639122a0676
12499a25a612b68
131ac8320572b07
14a874b3040480
154e77d0a5add2
hex2712bb168d00

42961401711872 has 144 divisors (see below), whose sum is σ = 104227445562240. Its totient is φ = 17263149318144.

The previous prime is 42961401711871. The next prime is 42961401711923. The reversal of 42961401711872 is 27811710416924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961401711871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3201413 + ... + 9806724.

Almost surely, 242961401711872 is an apocalyptic number.

It is an amenable number.

42961401711872 is an abundant number, since it is smaller than the sum of its proper divisors (61266043850368).

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

42961401711872 is a wasteful number, since it uses less digits than its factorization.

42961401711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008276 (or 13008262 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 42961401711872 in words is "forty-two trillion, nine hundred sixty-one billion, four hundred one million, seven hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 97 112 128 133 152 194 224 256 266 304 388 448 532 608 679 776 896 1064 1216 1358 1552 1792 1843 2128 2432 2716 3104 3686 4256 4864 5432 6208 7372 8512 10864 12416 12901 14744 17024 21728 24832 25802 29488 34048 43456 51604 58976 86912 103208 117952 173824 206416 235904 412832 471808 825664 1651328 3302656 13008137 26016274 52032548 91056959 104065096 182113918 208130192 247154603 364227836 416260384 494309206 728455672 832520768 988618412 1261789289 1456911344 1665041536 1730082221 1977236824 2523578578 2913822688 3330083072 3460164442 3954473648 5047157156 5827645376 6920328884 7908947296 8832525023 10094314312 11655290752 13840657768 15817894592 17665050046 20188628624 23310581504 23973996491 27681315536 31635789184 35330100092 40377257248 47947992982 55362631072 63271578368 70660200184 80754514496 95895985964 110725262144 141320400368 161509028992 167817975437 191791971928 221450524288 282640800736 323018057984 335635950874 383583943856 442901048576 565281601472 671271901748 767167887712 1130563202944 1342543803496 1534335775424 2261126405888 2685087606992 3068671550848 5370175213984 6137343101696 10740350427968 21480700855936 42961401711872