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742070752240 = 245174127114909
BaseRepresentation
bin10101100110001101101…
…11010001001111110000
32121221102012001001021211
422303012313101033300
544124230103032430
61324522543325504
7104420130214606
oct12630667211760
92557365031254
10742070752240
1126678a659524
12bb999bb0894
1354c9153988c
1427cb8907876
151448277a72a
hexacc6dd13f0

742070752240 has 160 divisors (see below), whose sum is σ = 1872431406720. Its totient is φ = 272397926400.

The previous prime is 742070752237. The next prime is 742070752253. The reversal of 742070752240 is 42257070247.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 742070752193 and 742070752202.

It is a congruent number.

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, 151162906 + ... + 151167814.

It is an arithmetic number, because the mean of its divisors is an integer number (11702696292).

Almost surely, 2742070752240 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 742070752240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936215703360).

742070752240 is an abundant number, since it is smaller than the sum of its proper divisors (1130360654480).

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

742070752240 is a wasteful number, since it uses less digits than its factorization.

742070752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 40.

The spelling of 742070752240 in words is "seven hundred forty-two billion, seventy million, seven hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2711 2788 3280 3485 4909 5422 5576 6970 9818 10844 11152 13555 13940 19636 21688 24545 27110 27880 39272 43376 46087 49090 54220 55760 78544 83453 92174 98180 108440 111151 166906 184348 196360 201269 216880 222302 230435 333812 368696 392720 402538 417265 444604 460870 555755 667624 737392 805076 834530 889208 921740 1006345 1111510 1335248 1610152 1669060 1778416 1843480 1889567 2012690 2223020 3220304 3338120 3421573 3686960 3779134 4025380 4446040 6676240 6843146 7558268 8050760 8892080 9447835 13308299 13686292 15116536 16101520 17107865 18895670 26616598 27372584 30233072 34215730 37791340 53233196 54745168 66541495 68431460 75582680 106466392 133082990 136862920 151165360 212932784 226241083 266165980 273725840 452482166 532331960 545640259 904964332 1064663920 1091280518 1131205415 1809928664 2182561036 2262410830 2728201295 3619857328 4365122072 4524821660 5456402590 8730244144 9049643320 9275884403 10912805180 18099286640 18551768806 21825610360 37103537612 43651220720 46379422015 74207075224 92758844030 148414150448 185517688060 371035376120 742070752240