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134044043144 = 231197101181859
BaseRepresentation
bin111110011010110100…
…1011100011110001000
3110210222202111220220112
41330311221130132020
54144010233340034
6141325021013452
712453510365414
oct1746551343610
9423882456815
10134044043144
1151936405650
1221b8b0b4288
13c84297717b
1466b8605d44
153747dd87ce
hex1f35a5c788

134044043144 has 128 divisors (see below), whose sum is σ = 281623305600. Its totient is φ = 59304960000.

The previous prime is 134044043129. The next prime is 134044043167. The reversal of 134044043144 is 441340440431.

It is a self number, because there is not a number n which added to its sum of digits gives 134044043144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156046187 + ... + 156047045.

It is an arithmetic number, because the mean of its divisors is an integer number (2200182075).

Almost surely, 2134044043144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134044043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140811652800).

134044043144 is an abundant number, since it is smaller than the sum of its proper divisors (147579262456).

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

134044043144 is a wasteful number, since it uses less digits than its factorization.

134044043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134044043144 its reverse (441340440431), we get a palindrome (575384483575).

The spelling of 134044043144 in words is "one hundred thirty-four billion, forty-four million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 97 101 181 194 202 362 388 404 724 776 808 859 1067 1111 1448 1718 1991 2134 2222 3436 3982 4268 4444 6872 7964 8536 8888 9449 9797 15928 17557 18281 18898 19594 35114 36562 37796 39188 70228 73124 75592 78376 83323 86759 107767 140456 146248 155479 166646 173518 193127 201091 215534 310958 333292 347036 386254 402182 431068 621916 666584 694072 772508 804364 862136 916553 954349 1243832 1545016 1608728 1710269 1773257 1833106 1908698 3420538 3546514 3666212 3817396 6841076 7093028 7332424 7634792 8415623 13682152 14186056 15081463 15703379 16831246 19505827 30162926 31406758 33662492 39011654 60325852 62813516 67324984 78023308 92571853 120651704 125627032 156046616 165896093 172737169 185143706 331792186 345474338 370287412 663584372 690948676 740574824 1327168744 1381897352 1523227763 3046455526 6092911052 12185822104 16755505393 33511010786 67022021572 134044043144