Search a number
-
+
74404155454000 = 2453116331988029
BaseRepresentation
bin10000111010101110010001…
…010000010111001000110000
3100202102222010112002202222021
4100322232101100113020300
534223014202244012000
6422124444103321224
721446344222230331
oct2072562120271060
9322388115082867
1074404155454000
1121786697050199
128418035150214
133269388020698
141453274bc6288
158906520ca11a
hex43ab91417230

74404155454000 has 80 divisors (see below), whose sum is σ = 180063947625120. Its totient is φ = 29736070828800.

The previous prime is 74404155453851. The next prime is 74404155454021. The reversal of 74404155454000 is 45455140447.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×744041554540002 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13668015 + ... + 18320014.

It is an arithmetic number, because the mean of its divisors is an integer number (2250799345314).

Almost surely, 274404155454000 is an apocalyptic number.

It is an amenable number.

74404155454000 is an abundant number, since it is smaller than the sum of its proper divisors (105659792171120).

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

74404155454000 is a wasteful number, since it uses less digits than its factorization.

74404155454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31989215 (or 31989199 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 43.

The spelling of 74404155454000 in words is "seventy-four trillion, four hundred four billion, one hundred fifty-five million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1163 2000 2326 4652 5815 9304 11630 18608 23260 29075 46520 58150 93040 116300 145375 232600 290750 465200 581500 1163000 2326000 31988029 63976058 127952116 159940145 255904232 319880290 511808464 639760580 799700725 1279521160 1599401450 2559042320 3198802900 3998503625 6397605800 7997007250 12795211600 15994014500 31988029000 37202077727 63976058000 74404155454 148808310908 186010388635 297616621816 372020777270 595233243632 744041554540 930051943175 1488083109080 1860103886350 2976166218160 3720207772700 4650259715875 7440415545400 9300519431750 14880831090800 18601038863500 37202077727000 74404155454000